So I want to thank the organizers for inviting me to give these talks. It's a great honor to speak here and So I want to talk about something that I call perfectoid spaces and Let me first give a sort of some general introduction to What perfectoid spaces are so the general aim somehow to get a comparison between objects a Mixed characteristic zero P was objects in Equal characteristic P and somehow the basic theorem somehow is so the idea is to get some more in geometric and nice version of the theorem of Fountain and Winter-Berger Which says that the absolute gara groups the absolute gara groups of Qp to which you for example there are many other choices you join all P par roots of P So mixed characteristic field and of the long series field Over Fp are isomorphic and in some sense even canonically isomorphic and So one sees some of that after joining lots of P par roots to a mixed characteristic thing You get something that in some ways looks like an eco characteristic thing and so we generalize this to the following so we want to have some kind of geometric objects over this Mixed characteristic field and some kind of geometric objects over this eco characteristic field and compare them and so Let me just as notation put k this field and K flat This field Well, some slight variations of this or someone and then It becomes true that Certain category of so-called perfectoid spaces over k is canonically equivalent to the category of the same kind of spaces over This eco characteristic field. So I denote the flank function by X maps to X flat and so let me state some general properties of this equivalence To give you some idea of what's going on. So first of all perfectoid spaces are locally ring topological spaces and So in particular one can talk about the underlying topological space and in fact that's just the same on both sides and Even better not only the topological spaces are the same but even the etal topoi are canonically equivalent So somehow if you just take X to be the point Spec K or something then this will exactly re-prove somehow the serum of Fontaine-Vincent-Berget In fact, we will need this as an ingredient, but somehow This serves as a generalization somehow to the relative setting of the serum of Fontaine-Vincent-Berget Some other another property is that this isomorphism there between the categories is somehow of a deeply analytic nature So in some sense there are some limit procedures involved in this isomorphism And so we have to leave the world of algebraic geometry and instead we have to use some language of Richard analytic geometry and There's a reason that they are called perfectoid namely the objects are Perfect in a certain sense So meaning that if we are in characteristics P and you could characteristic P Then all the rings that occur are perfect and Mixed characteristic We have a similar condition So guaranteeing some of that there are lots of p-power roots So one thing that we see from this is already that the rings are that we will deal with are highly non-Esserian So perfect rings are basically never an Esserian and so it's maybe technically not so easy, but Okay And I want to add some words about how perfectoid spaces are related to varieties. So for example in characteristic P We have a function from varieties over K to perfectoid spaces over K so okay, flatten and So that's the notice by X map maps to X perf and in fact It's clear that this functor Factors over the category of Richard analytic varieties. So RIT's over Okay flat so X mapping to X rig Which then maps to X perf somehow first you associate the identification to X and then you make the structure perfect basically and So These two are sufficiently close to another for example, it's true that the atal topos of this associated perfectoid space is just the same as the atal topos of The associated which an analytic variety and in particular the atal comority of the two objects will agree But there's no such function characteristic zero So someone characteristic zero. There's no canonical way to Join P power roots in general Nonetheless, there are some favorable situations where one can still Give nice constructions of perfectoid spaces also in characteristic zero. So let me give some examples of perfecto its places in characteristic zero Which also somehow gives a flavor of what such a space looks like so one thing one could do is one takes The a1 over K and say it takes the associated widget analytic variety Well, I will take some slightly different thing but think of it as the rigid analytic variety and then It takes the inverse limit over the piece palm at the T is the coordinate on a1 So of course for a1. There's some of canonical way to join lots of people roots. That's what we do So more generally for any torque variety we can do the same We can take the inverse limit Or the map phi which is on monoids given by multiplication by P of the Widget analytic variety associated to K and then in this Say first example One can even describe the tilt so I didn't say this so this Isomorphism between the equal and mixed characteristic Series is what I call tilting. So in this case the tilt of this inverse limit It's just the same thing constructed in characteristic P But there are some other cases where one more or less has a canonical way to join something like people our roots and say A of a case and be a variety Then you can look at the inverse limit over multiplication by P Of the associated which is an analytic variety and again, this is a perfectoid space and At least if a has ordinary reduction one can describe tilt again as the inverse limit over multiplication by P over some Right other variety a prime over this other field where a prime over K flat you can describe it via ser Tate canonical parameters Described or ser Tate canonical Parameters Okay, and there even more examples so you can take over the ring of integers and K. You can take some pity with a big group Somehow from here on it's all in progress and I haven't Checked in which generality exactly I can say what which things but For ordinary reduction somehow It's the easiest For good ordinary reduction. Yes. Yeah, sorry. Yeah, so if X is a pity with a big group then one kind of again take It's generic fiber where I say it's a form of the pity visible groups is supposed to be something like the open unit ball And then again, you can take the inverse limit of a multiplication by P and then this also related to some so-called banach con mess spaces occurring in p at a coach theory and Also the modular spaces some of the beam varieties of pity with the big groups have this nice property. So if you have The shimura variety depending on a level then you can Take the inverse limit of all levels at P of the corresponding widget and only stick variety or You can take Xk K running through compact open subgroups of some group g of Qp a rough-porting space and Can look at the inverse limit over K of X K So this means that in this book I mean it's been a problem for a long time if you have say the lumen T tower that you would like to look at it at the Infinite level and now it turns out that at the infinite level this clearly becomes a space namely a perfectoid space and so for example one sees that One can take the inverse limit of the dreamfell tower and this really knows Canonically isomorphic as a perfectoid space to the inverse limit of the lumen T tower So there's also Jared Weinstein working on this now. So as perfectoid spaces Okay So that's some of the general introduction So these perfectoid spaces are really some are rigid analytic spaces, but of an infinite type So they're not the Syrian not anything and in particular for example. I don't think that One can describe perfectoid spaces as a category of certain form of models modulo as some So sort of admissible blow-ups because these flattening techniques seem to require them to see in this hypothesis So we have to Look for some other approach to which is analytic geometry and the one that I choose is a Huber theory of attic spaces and in the first lecture I will basically now explain what an attic spaces and compares the theory to other Existing series and rigid analytic geometry so Throughout let me fix so the definitions of holding a non-archimedian field K is a topological field whose topology is induced by a Non-trivial valuation of rank one so throughout let me fix a non-archimedian field K and There's an extent essentially unique norm map from K to the positive wheels and Let us fix one which is not really necessary for who bus theory, but for comparing them with other series with my maybe helpful Okay, so some of some basic idea of Widget analytic geometry Is somehow it should be an analog of the theory of complex analytic spaces over C and so there should be a functor Well, I mean attic spaces now There should be a functor from the varieties over this field K to Now the category of attic spaces Over K sending X to XR and Somehow on this attic space it should now make sense to talk about the subspace where function is somehow bounded by one or something so and sort of The following should make sense some of four for all functions on your space Something like this should make sense so in particular One basically sees that any point has to give rise to some sort of valuation map. So so, okay, so there are now three approaches which Have this requirement. So some of this approach of rigid analytics geometry Take you take X rig, which is a set of closed points of X so somehow if X so if X in X is a closed point and Somehow there's a and say this is just a fine Then we get so this corresponds to some X corresponds to some and so Maximum ideal so we get a map to arm or damn which is some finite field extension of K and The norm on K extends to any finite extension. So we Get a natural map to the positive fields and this gives the valuation corresponding to this closed point Yes, I wanted to say this but I forgot. Yeah, I assume throughout that all my rings are complete Some of the whole theory will not change when one replaces A ring by its completion, so I take the freedom to assume that they are complete Okay, then there's Birkowitz theory where one considers certain norm maps from During our to the positive fields So extending the valuation which you already have on K So this gives you more points and I will later an example describe these points but There is some of something still more general that one can do When the laws basically all possibly higher-rank valuations, right? I will explain the comparison to other theories later, but Again in the situation that I will perfect your spaces. I don't know whether these comparisons still work so Let me start by defining what Hubert calls the valuation. So let R be some ring then a valuation on R Is a map Which I mean Hubert writes It's just usually be called a norm, but I stick with who was terminology of calling it a valuation So it's a map from R to gamma union zero Where gamma is some totally ordered to be in group so for example, it could be the positive fields and Satisfying the following requirements So The way you have zero zero the value of one is one the value of X plus y is at most the maximum of the values of X and Y and So this is that's multiplicative. So the absolute value of So some I think he calls it valuation because one One is used to talking about higher-rank valuations, but one is not used to talk about higher-rank norms, but Okay, so And Now far as the topological ring as it will be in the cases that we are interested in Then this map is called continues it for all gamma and gamma the set of all X and R such that the absolute value is less than gamma This is open right necessary. There must not necessarily the value group, but I Will now define a notion of equivalence which somehow does not see the value group. So So in this context that we make several definitions so we have lead gamma absolute value subset of gamma he's a subgroup generated by all Absolute value of X X and R such that they are not zero and What else do I need? An absolute value has its support which is a the set of all X and R which have absolute value zero this is an prime ideal and The last thing I need to say somehow any valuation factors as You first project to the quotient by the support and then You can even take As this now integrals the quotient field of this and then there's a Norm not to gamma you mean zero from there and Let me call this K then the norm gives some a rise to this whether you field K, but it additionally gives rise to the valuation suffering of K, which is a set of all X and K such that the absolute value is at most one so this subset of K is a valuation suffering and Now we say that to valuations Norm and norm prime are equivalent if the following condition equivalent conditions are satisfied So one way to say it is that There is an isomorphism between these subgroups Such that The obvious diagram commutes so we have our mapping to this is anything But there are other ways of saying the same thing so The obvious diagram commutes so we have our mapping to this is anything But there are other ways of saying the same thing so It's also equivalent to saying that the support is the same and The valuation the ranks that they define are the same Which then of course live in the same portion field third condition is that the absolute value for A and B and R Come on the absolute value A is Bigger than B, but only if the same is true for the other valuation Okay, so and Some of the topological spaces that will underlie these locally ring topological spaces are now certain equivalence classes of continuous valuations on these rings and And who might define such spaces and very great generality, but We will not need these utmost generality and I will specialize them into the case that is of interest to us now That's what he calls the Tate K algebra This is a topological K algebra R and one has to put some assumption on how this topology looks like and The following assumption is put by humor. So he assumes that that's their existing suffering Are not in our such that a times are not was a Invertible element of K such that this forms a basis of open neighborhoods of zero. So for example, you can take our The ring of convergent power series and several variables so Meaning the set of those sums A I 1 up to I so a G to the I I bigger than zero using multi index notation Such that the coefficients go to zero And then you can take are not inside it just as the suffering of Those power series with integral coefficients and I forgot to introduce it cannot Is a set of all elements which have absolute mayor at most one? no, it's no and Second is that an affinity K algebra is a pair so somehow Spaces and who were set up are not associated to a single ring, but to a pair of rings and So this is a pair our R plus where our state and Our plus In subset of our up or not which is to find to be a set of power-bounded elements in our Is an open and integrally closed suffering but in fact in all cases of relevance and widget analytic geometry it will be just The ring of power-bounded elements It's not of great importance and The last part is that Such a thing is called this is of topologically finite type. So I just write TFT If R is a quotient of Such a thing for some N so that's just a kind of algebra that appear in classical rigid analytics geometry and also R plus is really just And again one need not put the assumption that ours complete But it does not change the theory of on dust so we assume From now on that our plus is complete okay, and Now we can define the topological space associated to such a thing. So Be a phenol K algebra No, no, no it does not imply it's a it's a condition I've put this condition So some of there is a general definition of what a topologically finite type algebra is and in this case some of it boils down to this condition If you're K algebra Okay, so then we define space called the attic spectrum of our R plus and Defined to be the set of all Continuous variations There's a property that on these integral elements. They are at most one and you take these up to equivalents Okay, so this is some set and We want to end out with the topology. It's a topology can be defined in the following way. So First for any x and x we write f max to the absolute value of f at x for the corresponding valuation and So this apology spaces of open neighborhoods Given by the rational subsets and they are defined as An open subset depending on certain functions f1 fn of mg and It's a set of all those x and x such that for all i The absolute value of fi of x That most the absolute value of g of x where The f's are certain elements of R that generate R and g is just any element So one if one is used to Berkowitz a series and one might wonder that one puts a non-strict inequality here And this is supposed to define an open subset, but I will give a justification for using a non-strict inequality here later so Okay, and In fact It turns out that This topological space Is somehow very scheme-like in a sense That's an ideal. Yes. Well, you can just always add it at the g to the f's because this condition for g is always satisfied Okay, so this is a somewhat scheme-like topological space So it really feels like doing algebraic geometry if one is working with them and For this let me recall the following definition A topological space x is called spectral It's the following equivalent conditions are satisfied the first is that X is topologically isomorphic to the spec term of some ring Okay, so it is very scheme-like The second condition is something which does not somehow uses This strange definition it can be written as a fine as an inverse limit of finite not spaces. It's still maybe not very concrete And there's another way of saying it is that X is quasi-compact I would just write Qc and has a basis of quasi-compact open subsets basis for topology of quasi-compact open subsets Which is stable under intersections and every irreducible subset has a unique generic point Every irreducible closed subset is unique Generic so and for example one can take the rational subsets In definition three Okay Well, somehow there is a paper where this equivalence is proved and this proceed paper proceeds in the following way first of all for any finite not space it constructs some example and It does so in a functorial way and then you can just pass to the inverse limit that There's I just don't think there is any relevance of this ring, but Well, there's no there's no ring no no but somehow This implies that X is in particular quasi-compact quasi-separated meaning That's the intersection of To quasi-compact opens is again quasi-compact open. It's again quasi-compact And it's t naught so it has some nice properties Some of which will be used later and in particular There's also a good theory of constructible subsets some of this topological space Okay So more over Somehow this space is somehow not empty It could be that there are no valuations at all and then it would be ought be very interesting, but So it is large in some ways so for example if X is zero then R is already the zero ring Secondly if F is an element Such that the absolute value of f of X is non-zero for all X and X Then F is invertible and certainly if F Is an R such that it's absolute values at most one everywhere then F isn't the suffering of positive elements and Okay, now we have associated to some such a finial k-algebra some topological space and now we want to endow it with some structure sheath and so Now we want to define the structure sheath and the definition is as follows so it's some more enough to define the structure sheath on rational subsets so and Let us choose are not an R as above so somehow such that it somehow defines the topology on R and Then we consider the following algebra we so both of these are somehow sub-algebras of R where you invert G and we equip it with a topology making Bases of neighborhoods of zero and then we let or X of you or X plus of you is a completion and One may wonder about the notation as the definition obviously involves some choices but we have the following proposition is that first of this is a As defined it's a an affinity k-algebra again and secondly It has the following universal property For any complete we have always assumed complete, but here it really becomes important For any complete affinuate k-algebra SS plus With map from our plus to SS plus such that the corresponding map on Spaces Factors over you then there exists a unique map from O X of you O X plus of you to SS plus some are making The obvious diagram commute and hence it really does only depend on you No, I don't yet, but it is true. No, I Mean this is universal property and the statement only involves the subset you and not nothing else. Oh Yeah, you're probably right. Yeah, and sorry, okay and so and now for any you and X open define or X of you to be The inverse limit of all W contained in you, which are rational of O X of W and Same for X plus and then there is a basic problem that It's not in general known That this O X is actually a sheaf. So there's only a pre-sheaf here But there's a foreign serum of fuba and it's probably should not be true in general But there's a following serum saying that if Any such ring of convergent power series on an open on a ball somewhere over your R is in a Syrian fall in then O X is a sheaf. So some of the basic problem. So this is satisfied If ours of topologically finite type The basic problem is somehow that Completion is not so well behaved when you are in a non-Syrian situation And later we will somehow be trying to associate spaces to such so-called perfecto at algebra which do not satisfy this Serum, but we will still be able to prove that this O X is a sheaf Topologically ring wave achieve So somehow the maps are strict or so some of it up here Which rings I'm not sure If it's topologically finite type then it's of course just a usual case. So our deals are close. Yeah, yes Okay, let me Say a few words before making a short break. So About these pre-sheafs O X and O X plus in general. So We're back in the summer Even if O X is not sheafs the following state true for any X and X the variation Extends to O X X the local ring and O X X is the local ring and O X X plus is a set of those F's and O X X Was absolute value at most one so it's a valuation subring No Somehow then you have the residue field K of X of this local ring and You have the image of O X X plus plus and Then this is a valuation suffering of course so somehow at each point of this attic space you get a residue field and in this residue field you also get a corresponding valuation suffering and In fact is through that for all you and X open This sheaf or X plus can be reconstructed from O X somehow by Saying that it's those functions such that for all X and U The absolute value is at most one and so in particular before any X we get some O X a certain pre-sheaf O X and certain maps The absolute value at X for any X and X so certain triple and then definition is that if O X is a sheaf Then this is called an affinity at X space and Okay, let me make a break here for say 15 minutes Let me continue. So what we have done up till now is we have started with some Kind of topological algebra and we have associated some kind of local ring spaces to them And now we want to glue them and for this we consider as a category of triples As above so we have some topological space X some O X and some valuations for any X and X so where X O X is a locally ring topological space, but in fact O X is a sheaf of topological algebra's and F maps the absolute value of F at X is a valuation on the local ring and it's even continuous variation and They form a category in a natural way and then we define an attic space is such a triple That is locally on X affinity is such a triple. So finally we have defined one and attic spaces and So somehow one has a category of such complete Let me stress this affinity K-algebra's and in there one has the ones Where our X is a sheaf these now are now equivalent to the affinity at X spaces over K and Of course, they are then a subcategory of the category of attic spaces of okay Okay, and now let me draw a picture in a simple example so we take the ring R to be just convergent power series on the disk in one variable and As the integral suffering really just the power series with integral coefficients and then the picture looks as follows We have some points then we have some point here then we have lots of arcs as in the Birkwich picture summer then it can also end somewhere in the middle and Around this point, let me zoom in so we have this point and we have some arcs going out and Additionally, we have one point here for each arc going out of this thing and the same thing happens summer at each other branching point so Let me enumerate all of these points so I take the same enumeration as Birkwich uses except that there will be some additional ones at the end so first of all so So I assume that K is complete and algebraic enclosed for simplicity so First we can take a point of absolute value at most one then We have some apps that sense the power series to the evaluation at X Which is then some element in K bar and then you can compose with the norm Sorry These are some of the points which I draw on the outside here So then there are the points of type 2 which is some for example such a branching point or Anything else which lies on this ray so Let me do both of them together. So again you fix some point in K bar of absolute value at most one but additionally you choose some real number between zero and one and then you can Produce what is often called the Gauss norm. So you send The power series which now you rewrite centered around Centered around X and you sense this to the supremum of the absolute value of a n times r to the n so and It turns out that this can also be written as a supremum overall Why such that the absolute value the distance to Exes at most are of the absolute value of f at y so somehow here f gets mapped to the absolute value of f at X So in particular this depends only on the disc around X of radius r So this means that for any disc inside this picture We get a new point and somehow any point X is connected with a ray Which is the interval of length one to one point which is some of the same for all points because this disc of radius one will always be the same and Somehow for any point you get such a branch which goes from this point to there But they start to merge at some points depending on the distance then there are some rather strange points If you have a decreasing sequence of discs Such that the intersection of all the is empty such things can exist for example for CP and Then we get a point F maps to the infirmum over all I of the supremum over all X and di the absolute value of f at X so somehow Going the other way some are from The interior now to the outside it may happen that somehow You get stuck in the middle here somewhere But the most interesting points now are those Which they have type 5 which are the ones that are Around this point there for example and they we get them in the following way we take the following Totally order to be in group. We take the positive fields But we introduce the second factor which I call gamma to the z. So as a group it's just a copy of the integer of the integers and Would require that This new variable gamma less strictly between any real number less than one and one so far Then we can send such a power series to the maximum Of absolute value of a n times gamma to the n and again this defines a point and Somehow this is sort of of the same sort as in two or three it but except that we are now taking this Parameter our infinitesimally close to one. So this means that Somehow on this line here it lies infinitesimally close to this point here. So that's what I wanted to draw here and So we have a similar picture around any point of type two so I should say what type two means mm-hmm to corresponds to the case that R is in the value group of K and case three corresponds to the case that this is not the case and Then one easily checks that somehow a branching occurs at some point on such a ray if and only if it's of type two And at such branching points one gets for any ray going out one gets an additional point of type five Okay, so it seems that there are lots of points and maybe One is no clue of what they're good for but I will give now Several other ways in which this topological space naturally appears Somehow in nature so First let me give the theorem that compares widget analytic varieties to attic spaces and it's the following So there is a fully faithful function from the category of widget analytic varieties over K to the category of attic space over K so X maps to X add and It maps the widget analytic variety associated to some usual Tate algebra to this attic thing so for any R not of topologically finite type okay, and One may wonder what the image is and of course one has to put Finiteness assumption on on those attic spaces so One would expect that the image of this should be exactly in the attic spaces locally of finite type over K So meaning that it's locally Spa are are not Where are not this topologically finite type That this should be some of the image And obviously the image is contained in it, but in general there are some Strange ways to glue attic spaces which are not present in the widget analytic world But as soon as you assume that your space is quasi-separated you get an equivalence so But basically everything is quasi-separated so it's not such a huge restriction and So now let X be a quasi-separated widget analytic variety Then the following nice statements are true So we're genetic varieties carry a natural growth in deep topology of so-called admissible covers and admissible open subsets So and it's a nice thing about a spaces is that you get a very convenient reinterpretation of what an admissible open is It turns out that the set of quasi-admissible opens in X is Just the same as the set of all quasi-compact opens in the associated attic space Sending any You summer to the intersection of you with X and it's a commerce function. I denote by UMAP so you till that So I recall that summer any classical point gives you an attic points on this way You can consider the classical points as a subset of the attic space and so This intersection makes sense and what's even better is that Certain UI and X cover from it admissible cover if and only if certain The associated subsets of X of the attic space cover X at just in the usual sense so in other words the language of admissible opens and admissible coverings is just Reinterpreted just as opens and covers in the attic world. So very nice and so it follows that sheeps over the growth in the topos of X are just the same as sheeps over the underlying topological space of the attic space and In fact this already determines X at uniquely if you make a slight technical assumption that it should be sober So there is somehow Some out of the theory of admissible subsets. It's even possible to directly cook out cook up this attic space And let me also give an example of how you see this not admissible in the example above so a typical example of a non-admissible cover would be to cover some of This disc which we consider so basically the subset of all X Which have absolute value at most one so you can cover this by the set of all X which have absolute value one or Plus a union over all reals less than one of the set with the absolute values at most are But this should not form an admissible cover because left-hand side should be connected and so what happens in this picture here is that Somehow the subset where it's the absolute value is equal to one is somehow this thing and Then the other thing gives you increasing balls here. And if you look at this now at this point Then you will get larger and larger subsets here. You will get this is subset But this one point is not in there Precisely because some of the absolute value of X which is this gamma is strictly between One and zero for all are less than one It's a tree or it's not the total what what is the topology finally well summer Well, I mean it's generated by these rational subsets But for example, if you look at this subset here, then this is topologically the same as a spectrum of The a1 over the residue field copper. So copper is the residue field of okay So meaning that this is somehow a generic point and it specializes to all the other points which are somehow from the close points of an fn line and so For example, if you just take out this one point, this will somehow be open at that part Okay, and there is a second way to construct this unaligned topological space of an attic space, which is to use the following serum of Renault is that If you are only interested in quasi compact and quasi separated which is analytic varieties. Oh, okay Then each of them admits a formal model may saying a quasi compact admissible form a scheme Over some of the ring of integers, which is cannot But of course such a form model is not unique and any tool somehow You have to localize by the category of admissible blow-ups Meaning blow-ups that only change the special fiber in a sense So let me you know this function by X maps to x rig and Using the equivalence for rigid analytic varieties That's all the same as a quasi compact attic space locally of our finite type over K so it gives you also an attic space and Then there exists a continuous specialization map from the unaligned topological space of the attic space to X and So it's continuous not anti continuous as in Berger which is setting and If you take X any given quasi compact quasi separated attic space locally a finite type Okay Then it admits formal models and so the following does make sense you can look at the Inverse limit of all formal models of the underlying space of X So the specialization maps give you a map to this inverse limit and it turns out it is just in homeomorphism So how does this look like in the example? so you can one formal model would be just to take the spiff of This thing and then the special fiber It's just the a1 over the residue field and How does the specialization map look like so you have This generic point and then these strange point around and then some other bunch of stuff And this just maps to the a1 over K, which is again this point by contracting all rays Okay, and Hence you see that Such a subset for example should be closed and If you think about it and this precisely tells you that you should put non strict inequalities to define Open subsets and strict inequalities to define closed subsets and Also summer what happens in this procedure some of you have one formal model, which is the a1 and Then you're allowed to do some blow-ups and so this introduces some p1 here and then some additional p1 and so on and so this builds up to three summer and they introduce many more p1's and summer the strict transform of any such p1 summer Survives up to the inverse limit and it gives you precisely some of these p1's which you have around any such point of type 2 so some of the points of type 2 are precisely the ones that specialized to a generic point and some form a model and then somehow get always mapped to this generic point and Yes, okay Why the dual graphs there's no dual things Yeah, but I mean you can really stop a lot really says what it happens without sort of talking about you or stuff and so on And somehow Yeah, some of the attic Language is compatible with the formal models in a very nice way For example, this Specialization is continuous But even more who defines attic spaces the much more general setup which would also include formal models for Widget spaces and so and then passing to the generic fiber as in the sense of Renault really is passing to the generic fiber somehow so okay, and So finally I want to say a few words about the comparison with Burkowitz spaces and for this I need the following definition an attic space X is called out th u t Ta ut If it's quasi separated and for any quasi compact open You and X also the Closure is quasi compact. So that's some technical condition, but It turned out that I mean most most spaces that you will encounter in nature are taught but There are now some examples which occur in nature where you have really non-toward attic spaces and Then we have the following serum is that there is an equivalence of categories between the category of Hallstorff strictly care analytic Burkowitz spaces with the category of Taute Richard analytic work taught here Richard analytic right is for example Okay, or then what is some of the same as? Taute attic spaces locally a finite type So sending some of a Burkowitz space that we denoted by X work to the attic space so okay, and Then there is a total logical map from the underlying topological space of the Burkowitz space to the attic space But this is not continuous So somehow the image is just the subset of rank one valuations But there is a better map. So there's a retraction from the attic space to the Burkowitz space Which identifies the Burkowitz space with the maximum house of quotient of X so continues no Identifying maximum Hallstorff quotient Of X art And so How does this look like in the example Okay, so let me draw it again. So So you have this in the attic world you have some of this and then the whole tree and again some strange points here and As a Burkowitz looks basically the same except that it doesn't have these strange points So you just have some of this tree Nice that it is and Okay, and So this Contracts any point of type 2 with all points of type 5 around Okay so I Mean and then it has to summer because this Burkowitz spaces Hallstorff and some of these points of type 5 lines in topological closure of this point so any map to a house of topological space has to contract them and That's precisely what it does So in a sense one can somehow reconstruct these this Burkowitz space from the attic space Okay, and so the last thing for today is to explain somehow the fibers of this of this map to the Burkowitz space more or less so or in other words giving a different interpretation to the points of an attic space and For this let me assume that access a phenoid and in fact we can go back to the Complete generality not even assuming that the x is a sheep or no, so necessarily a sheep okay, so so for any point x and x We have associated somehow a pair consisting of the residue field of x and a valuation suffering and This gives rise to the following definition that an affine rate field so someone classical algebraic geometry points are more less maps to fields and so in the attic Geometry the point will more or less be a map to an affine rate field so an affine rate field is a pair kk plus where case a non-archimedean field and and in k plus in case an open valuation suffering and Again, we will often is only work in the complete case, but These are not in general complete so somehow. No, I mean, yeah, I should say the power bond elements Okay, so then we have the following Proposition That our plus be an affine rate k algebra and then the points of this attic space arm by Jackson with maps are our plus to kk plus where so where kk plus is an affine rate Field complete affine rate field and I mean that I mean you can always make some of the field larger and to exclude this case we sort of assume that The quotient quotient field of the image of r and k Stints and so somehow in Berkowitz's theory Point is simply given by a map to a complete non-archimedean field and here we sort of additionally have to remember this valuation suffering in there and so Somehow The fibers of this map to the Berkowitz space are precisely somehow parametrized by the valuation sufferings inside of this corresponding non-archimedean field and Using this description of points. It's also easy to say when one point specializes to another point in this Edit space. So let me recall the definition of specialization of points say x specializes to Y which is written x somewhat greater than y if y is in the topological closure of x and then we have the following proposition that If x y are in The edict spectrum of r r plus then corresponding somehow to maps k k plus or k prime k prime plus then x specializes to y if and only if first of all they give rise to the same non-archimedean fields or some of You have such an isomorphism here commuting with a maps from r in some of the valuation were suffering corresponding to x is more general in the sense which means that It's larger So so this way And so we see that In particular any non-archimedean field admits the set of power-bounded elements in k as Variation suffering and this is the one that corresponds to the unique rank one valuation unique rank one valuation and one sees that summer funny case as the unique generic point so Which specializes to? any other point for the same x therefore the same field k and for any x and x corresponding to a rank n valuation the set of all Why such that why specializes to x? It's the wrong way, but okay, and so this forms a chain of Lengths precisely in so in the example summer there was This generic point and the special points around it this one was a rank one valuation And there's only one point above it in me itself So the chain is of lengths one and for the other point summer There's precisely this one point which specializes to it and you get a chain of lengths to which is also rank of this valuation so that summer Well as a general picture about attic spaces and that's it for today


I'm gonna show you guys what I got. She's a little sparse. I'm like actually obsessed with that. Hello you guys, what is up? So it is currently 11.30 on Friday and today we are gonna be going to the dollar store. We're gonna be going to Michael's, maybe depending what they have at the dollar store. And we're gonna be kind of not like redoing my room but redoing a little wall section in my room. So I talked about this in one of my previous videos but I want to redo this section here. Obviously keep the dresser but I definitely want to take the photos off the wall here and I want to make these beautiful vases that I saw was like a DIY thing on TikTok. So I just want to make this wall more like plain and less clutter-y cause it just looks like really clutter to me right now. So I just want to take everything off and kind of revamp it, give it a new look. Yeah, I'll play the video for you on TikTok later when I'm doing it. Hey girl, do a DIY project with me. Come, come. So I was looking at these vases on West End. There was $140, girl please. So I went to Dollar Tree and went down their vase aisle where they have a wide selection of vases. These are the three vases that I chose. Then I went to the grocery aisle and got baking powder. Now baking soda, baking powder. So then I went to Michaels, went down their paint aisle and got a medium sized bottle of black paint and 99 cent brushes, one big, one small.  So then I mixed the black paint and the baking powder together until you get this grainy and frothy kind of consistency. Then you're gonna do short, small, horizontal strokes to give a realistic feel or texture to it. Then I did the inside of the vase. Then I let it dry to coats and this is the final product for $12. I don't know, it looked really cool and mine as well tried to do a cool DIY little thing. So that's what we're doing today. This is my fit for the day. This is from Brown D and this is from Brown D. Cute little brown set. Yeah, I'm just gonna vlog the day, vlog my little revampation over here. Yeah, so spend the Friday with me. Also, oh my goodness, my throat was hurting yesterday because the day before that I was singing and I was playing guitar and singing and I haven't sang for a while. I always sing but I never sit down and sing for an hour and that's what I was doing and it killed my throat. My throat is so sore from doing that. Like it hurt towards the end when I was singing and I didn't really think anything of it and then I woke up the next morning and I'm like, my throat just hurts. It still is like really sore but it's getting a little better but it's just like so annoying. Like I couldn't even talk this morning because it was just so sore. I was like, I gotta say my voice of love. It's probably like a muscle that I haven't used in a while and it's like dead or something, I don't know. Also, I've been wearing this like fluffy cheetah purse that Deanna got me, my cousin Deanna got me. Thank you Deanna again. And I've just like literally been obsessed with it. I wanna get so many more tote bags for the summer because I feel like tote bags are gonna be all that I'm gonna wanna wear but they're just so cute.  And for my hair it was like disgusting so I put it, this clock clip in it. This is from Amazon, you can see it. I just put all my hair in it. A little bit of a tip for you guys. So when my, this is like my sixth day hair or fifth day hair, I think it's my sixth day hair and when your hair is getting like greasy towards the end of the week and you still wanna like wear it but you already use so much dry shampoo and it's still getting greasy. So what I do is I'll take like the bang section of my front pieces and I'll wash them in the sink.  So that's my little hack.  This is a vegan brownie that Madison got me and it is literally the best brownie I've ever tasted. I think it's better than a normal non-vegan brownie. So good. Literally addictive. Like it tastes so buttery but there's no butter in it which is like, how? Don't understand, I need the recipe. We were gonna leave the house and then I realized I was like, we didn't even eat anything for breakfast because we just had like coffees. So I think we're just gonna have something quick. I'm just gonna pop some toast in. I'll go with some butter. I really wanna try like a plant-based egg mix if that makes sense. Like I've never had a plant-based one so maybe I'll go to this store if I don't forget about it and maybe I'll pick one up because I feel like I would only be able to find that at like a whole food store. Okay, so we just got to the dollar store and I have a strong feeling that I'm gonna find everything I need here because dollar stores are so good. They literally have everything. So I feel like I'll definitely find everything I need and I'm not gonna have to go to Michael's. So hopefully. Okay, so they didn't have any black paint left like literally their whole paint aisle was swiped. So I've got brown instead and I feel like it's still gonna look good. We're just trying to find like the clear vases right now. Got the brushes and brown. Now we just need baking powder and then the clear vases. Okay guys, so we just got back from the dollar store. I found these two a dollar tree and they were literally only a dollar each. Like the total came to $2 in something sense. Like I was shook, okay. And they're so cute. I got two different shapes. And then I got a whole bunch of like fake spring cute flowers to put in the vases afterwards. I'll show you guys like them afterwards, but they're so cute and I think it's gonna turn out so nice. And I'm honestly happy that there was no black because I think the brown is gonna look even better. I don't think she said how much baking soda or baking powder to put. Yeah, she said until you get this grainy and frothy effect. So it's gonna look a little weird. Okay, I'm actually really excited to do this. So I just got this pack of brushes because I didn't really have at the dollar store. They didn't have like the brush that I wanted really. Oh, this will have to do. This is like basically just the one that I wanted, but they didn't have this individually. Actually, this one will be good too, I feel like. Okay, let's get into it. I've got the baking powder. I've never done this before. I feel like this is like a little bit of a hack to get like a really cool consistency. Don't wanna spill that, okay. I'm actually really excited. Gonna put a lot. Gonna put some baking powder in it. Okay, don't know really how much. I wish she did like measurements, but I guess it doesn't really matter. Oh, she getting thick. I'm like so curious on what the baking powder like actually does to it. Okay, I feel like this is good actually. It's funny because I'm almost like don't get your clothes dirty. And I'm like, I'm literally wearing brown and I'm painting brown, so I don't think anything's getting dirty today. Good day to wear brown. Oh, okay.  Okay, so this is what I got. It's kind of like frothy. Just gotta get into it. Okay, I'm probably gonna have to do multiple coats. Okay, coat one. She doesn't look too hot. She's a little sparse. So we're gonna just leave it dry I guess for a bit while I paint the other one. So I'm gonna do this one and then we'll see if that one's ready for another coat I guess. I don't really know. Okay, so this one actually looks a bit better than that one. Whoa, that's drying really ugly. I hope this ain't about to be a big fail. This one is looking all wonky for some reason. I don't know why. Is it the baking powder? Like what is it doing? Why does it look so bad? Damn, these look bad. Actually, I'm gonna just do, oh, it's dry. I'm gonna just do another coat right now. Okay, second coat's looking a little better. I have some faith. Gonna look shitty actually. Okay guys, so the last coat of paint is officially drying. I did like literally four or five coats on it because I should have put maybe like a primer on it or something, but I just like whatever. I feel like it'll turn out fine either way. It's not gonna be like the best paint job, but it's fine. Anyway, so we're gonna remove these photos now. Joel's gonna help me and just get this wall completely blank. All right you guys, a couple hours later, here's the final result. They actually turned out pretty good. What do you think Joel? I think they look pretty good.  They kind of do actually. They're kind of of a vibe over here. I can't wait to add the flowers in there. So we'll do that right now. Okay, so these are the flowers that I got. They're just like fake flowers, but they're so spring and I think it's gonna add such a cute pop of color to my room. So I got these to go together. No, wait, no, wrong, wrong. So I got these, the yellow and the pink to go together. Oh my God, they look so good with the color. Oh, I still gotta take the tags off them, but I just need to put them in right now. Oh my God, that looks adorable. Okay, so then I got this lilac one purple with white to go together. I gotta cut this one though because it's kind of like super long. Oh, that looks so good. Oh my God, stop. That is so cute. What was the total price of that? I honestly think that I paid $10 for the flowers altogether. The vases were $2 each and the paint was like a dollar. So it's like less than $15.  Look at how cute that is. It's the same price as a bouquet of flowers. For a real bouquet, yeah. You got, oh my God, this makes me so happy. Doesn't it look better than the photos? It looks so like simple, less cluttered. Yeah, it looks so good.  Thank you to that girl's video that was on TikTok. So what I did though, just to clarify, is I did the first layer with baking soda and I noticed it was kind of getting like the little too chalky, I think I put too much in. So then for the other like five or so layers, I just did like regular paint and it turned out perfect. So I'm so happy. And I also have this like picture up here. So maybe if I put that behind there, that would look good. Let's see. I feel like the picture has to be hung up if I want to do that because it kind of looks bad when it's just like there. I feel like it would look good if it was hung up. But oh my God, these these, this looks so cute. Go do this, you guys. It literally costed me less than $50. Okay, I just took the painting down or the picture thing down. Vote down below if you think I should hang the picture up on the wall or if I should keep it on top of there. Vote down below, bitches. I'm so indecisive when it comes to these things. And also I feel like if I were to hang it up there, I would just use like a command hook because I don't want to put a hole in my wall because I'm not there for commitment yet. I just need to change things often. So I feel like this area, like this wall here is always going to be changing because I just get bored of things so fast. But yeah, vote down below if you think I should put the picture up there or not. Also don't hate me, but I'm already kind of getting bored of my picture frames here, like the Vogue and the Dior. So let me know down below if you guys have any ideas on what to put in those picture frames because I definitely want to change them up soon but I have no idea what to put in them. So let me know, some suggestions. Okay, here's a better view of these picture frames. Please leave me suggestions. Even if it's a suggestion to like take the picture frames off and put something else, let me know. Cause I just don't know what to do when I'm bored of them but I just don't want pictures to put in there. I'm like really obsessed with the beach and everything. So like anything tropical I feel like I would put in there but I'm not sure what would look good. Like I don't, I don't know. I need your help, please help me out if you guys have any ideas, leave them down below. I'm like actually obsessed with that. Like I'm actually obsessed. Like, oh my goodness, that is so cute. Hey guys, so it is currently Saturday and I'm going to a dress fitting right now with my sister for her prom dress. If you guys haven't seen the video where I shopped for her prom dress, she bought it like a few months back and now she's having a fitting for it because it came in because I had to order it. So I'm going to go with her. This is my fit for the day, just wearing like a sweatsuit kind of thing with this cute purse again. Yeah, this weather's kind of being so bipolar. Like just last week I was wearing, or not even just last week, just like a few days ago I was wearing like shorts and a tank top out. And now I have to go back in where like sweaters and sweatpants. Lovely bipolar weather going on here. Yeah, so I'm just going to bring you guys along with me for the day to finish this log off. I'm still like extremely obsessed. Like so cute. Stroke pose. Three, two, one, go. Okay, go. Okay, so I just went to Starbucks and the guy there helping us was so cute. He was so nice and literally when someone is nice like that like when they're working it's just so, so nice. Yeah, cheers mate. I got a strawberry salamone blended but then he suggested I get peach in it and it's so good. So cheers to you. Don't know your name, but thank you. I love people that suggest things. You know, show what you got. Brown sugar, Americano or something like that. Oh, pretty good. I got the brown sugar oatmeal shake in espresso. So good. It's like one of my favorite drinks now. And then I got a bean and quinoa wrap. So this is her dress. Comment down below if you think I should do a sleep bag bun with it. Yeah, cause like the highlight. Okay, so we just finished the dress fitting and then we went into this small business locally owned store and the lady came up to us who was working there and she was like, oh, can I tell you about our store? So we were like, of course. And basically everything is basically either donated or like upcycled and they do get like donated a lot of brand new stuff like from vans and like companies like that. And in the back they have like a soup kitchen where all the proceeds go there. Okay, I don't know if you guys heard what I said but basically that store was so cute. Go visit it if you're in the New West area. It's along the strip with like all the bridal galleries and stuff. I'll put the name right here. Basically all the proceeds go to the food baking in the back that helps the community. So yeah, it's honestly awesome. I love finding like small businesses like that. It's honestly the best when you purchase from them because you know your money's going somewhere good rather than buying from like a big corporation. It was really, really nice. The good vibes. Yeah, good vibes in there. And you know what? When I find a place with good vibes it makes my, yes and it makes my day like it makes me feel so happy. I don't want to put you like, oh my goodness. Stop it. This isn't real. It's like coffee now. When you pick coffee, it's not like a coffee.  Okay, first of all, when I was walking in I spilled like my whole coffee on me. Well, not my whole coffee. You know like when you have ice left in the cup and there's like a tiny bit of coffee. I spilled that on me. Got a little bit of a stain here so I need to throw my pants in the wash after I do this segment. But I'm just going to give you guys a little bit of a grocery haul what I got. But first of all, I got these vegan quinoa go-go, go-go quinoa puffs sriracha. They're actually really good and they kind of give you that raving for a cheese puff, you know what I'm saying? I bought these and then I got some zinc and biotin because I just needed more of these vitamins. And then now for the exciting stuff. So I got this vegan cheese and it's called Nuts for Cheese, artichoke and herb organic and dairy free. So that's her and I've never seen this before but every time I see a new vegan cheese I just want to buy it to try it because I definitely want to find like a holy grail vegan cheese because I haven't found one yet. Like I found some good ones but nothing that's like, you know what I'm saying? So I'm so excited to try this one and it looks really good because it's made with cashews and I think that's the trick is when something has a cashew base I find these to be a lot better than anything else. And this is a brand that I've never seen before so I'm really excited to try this. And then the next thing that I got I got these fake eggs and I'm going to make them like right now. So I'm really excited to try this and then Madison just got like cheesy puffs which I'm not going to eat but these are really good. Let's actually let's open this up and see what's like inside. And I'm also going to show you guys what I got from the store, the little small business that I went to. I bought a pair of shorts so I'll show you them when I go back up to my room so I can try them on. Okay, yeah, this is what I thought. It's like powder. So there's soy base, soy protein. Yeah, it literally looks like it's going to be like a little carton of four eggs which is funny because it's trying to mimic an egg carton. So let's follow the directions and let's make some fake eggs and see how they taste. It also says that you can bake with them here and just like, swap it for a little egg. So that's actually really interesting and good because then I can make like normal recipes and then just swap the eggs for this if they're good. I'm actually really excited to try this. It's said to do it for seven to eight minutes. So, because it says it takes way longer than normal egg to cook. So I'm going to put a timer on for like six minutes I guess and see. Okay, but like, it actually looks like a real egg kind of. I did not expect that. Okay, so they look like a bell cook type thing. So I'm going to put them on a plate with some hot sauce and see how they taste. I'm actually really excited because they do look quite similar to an actual egg. Might have overcooked them though, but we'll see. Okay, they're cooked. I did a little fit change because of the coffee spill but they look like real eggs, okay? 10 out of 10 for the look, for the cooking. 10 out of 10 felt like real eggs. They do smell weird. So kind of scared, skeptical. Okay, we're going to dip them in the hot sauce just to give them a little extra flavor. Oh my God, I'm kind of scared. Okay, the only thing I did was add pepper and salt and then water and then the powder. That's it. Okay, okay, here we go. Wow. They taste very similar to real eggs. Very similar. I'm very impressed. Review. They taste way more similar to real eggs than I thought. But okay, you know that thing that's like put into, I think it's like when you make something gluten-free and then it's like the Xanax gum or something. I don't mean not Xanax. Something, something gum that they put in there to like make it stick together. I taste that in the eggs. Like it's very similar to this gluten-free bread that my mom used to make. So they definitely have that in them because I taste that. But otherwise, they're actually like really good. Like I give it a solid eight out of 10. Eight out of 10. And I feel like if you mix these with like mushrooms and make like a more of a scramble with it, you wouldn't even barely be able to tell. Yeah, I'm very impressed. Wow. I didn't expect them to be actually like this good. There you have it. Okay, so now I'm going to show you guys what I got from the little shop that I went to. I'm going to put these shorts on because I didn't even try them on in the store. I just bought them because I kind of know like what's going to fit me. Here they are. Look at how cute they are. They just say New York and they're from originally Brandy Melville. Okay, here are the shorts. Look at how cute they are. They fit perfectly. I mean, I knew they would. And they're just perfect for the summer with like just to throw over a bikini or something. I'm literally in love with them. They're so comfy and cute and they're really good quality too. Here's the back.   Love you guys. Bye. This is the end of this. Thanks for watching. Bye. Good bye. Bye. Bye. Bye. Bye. Bye. Bye. Bye.


Hi everyone, Joe for jazbeescasebreaks.com coming at you with 2020-2021 Panini Obsidian Basketball, one box random division break number and this is a FOTL, first off the line break. So you got the different exclusive parallels that's number to 16 or number to three. It's usually number to 16, we want to see the number to three, that's what we want to see. Big thanks to this group for making it happen, appreciate it. There are the divisions right here, and a refresher on the divisions right over here. I just think of it as conferences so much at the time. Now let's roll it and randomize names and divisions two and a six, eight times each. One, two, three, four, five, six, seven, and eighth and final time. Got Damien down to Shea, two and a six, eight times for the divisions. One, two, three, four, five, six, seven, and eighth and final time. Two and a six right, eight times, eight times. Southwest down to the central, all right Damien with the southwest, Evan with the Atlantic with last spot mojo, Chris with the Pacific, Dale with the southeast, Chris with the northwest, and Shea with the central. Let's order these by division, and we're going to pause the video when we come back. We're going to see if there's any trades, then we'll have the break. Stick around, BRB. Hi, welcome back. No deals were done, so that list you saw previously remains the same. If you're watching live right now, I know it's a little later in the evening, especially for a Monday night, but we did load up another one box break, so if you want to run this back, obviously we only need six people to get a spot each, so we don't need too many people to make that happen. All right, it looks like somebody numbered these. There's one, five, eight, and ten it looks like. But what I'm going to do is I'm just going to roll the die, select one die, we'll just go one, two, three, four on the dice roll, if I roll a five or a six, we'll just re-roll. Let's take that nice little Bellagio B right there, B for basketball, one, two, three, four, three. So one, two, and three, right here. So we've got another one box break up, next time we'll go one, two, three, four, five, six on the dice roll, or maybe I'll just grab a random box. Either way, it'll be random. Thomas was guessing four, close. All right, there it is, the first off the line sticker. Thoughts on Chet, I actually saw a few minutes of that summer league, some summer league highlights of him. I mean, he's going to be dangerous with Josh Giddy. I think this is what everyone says, he's got to bulk up, that's it. Not that's it, but I mean, that's one of the main things he's got to do over the course of the year, he's got to bulk up. But when and if he does, that's going to be pretty exciting. All right, we've got Colin Sexton leading it off, 27 out of 99. That is for Cleveland, that's in the central.  Thomas on the chat. We've got Carmelo Anthony, Trailblazers Edition, two out of three. Out of five's Nunder, get the train whistle, 275. So that'll be for the Pacific, or no, check that, the Northwest. So that'll be Chris Butler at the Northwest, Chris. Here's my bell right here. All aboard the Big Hit Express, whoo-hoo. There's Carmelo again, same deal but not numbered. We've got Pascal Siakam for the Raptors, not numbered. That is for the Atlantic, it's going to go to Evan. We've got Draymond, that's for the Pacific, that's going to go to Chris Butler. And you should be your two autographs. First one is, is Brent Barry, Rockets Edition, Brent Barry. That's got to be Southwest, Southwest Rockets. That's going to be for Damien in the Southwest, 8 out of 75. And the second auto is four out of five, Trent Forrest, Onyx Autograph. I was hoping that'd be someone else, but hey, Trent Forrest. Let's put some respect on Trent Forrest's name here. And that's still a train whistle for the Northwest. Jazz, and that's another one for Chris Butler. Got the out of three, Lamello, and the four out of five, Trent Forrest. All aboard the Big Hit Express, whoo-hoo. And there you go, ladies and gentlemen, quick little random division break. Obsidian basketball first off the line. We've got another one boxer in the store right now if you want to run this back. I'm Joe, I'll see you next time in the next video.


Hi you guys, Lindsay here. Welcome back to my channel, Inside to Him. All right, so it's been a very big week at Simplicity. They launched their new spring collection and with transformation and new beginnings in mind, they also revamped their logo, which I actually really, really like. Now, if they can just get to the website, I think we'll all be very, very happy. But we're going to do our best with what we've got here. And so let's, yeah, let's get right in. Our very first pattern is a women's jacket. Oh, wait till you guys see the new covers. Okay, sorry. All right, so we've got a jacket. It looks like they made theirs out of, I don't know what that is, some kind of like pebbled wool maybe. It seems very pretty lightweight, but look at all of this seaming. So we've got a fisheye dart here, another one, two fisheye darts, it looks like, a beautiful set in sleeve with possibly a shoulder pad in there, a front neck band, and then look at this lovely little sleeve detail. The length is really cute. It hits right at like the upper thigh. And then you have this tie detail, which I think is really nice. Let's check out. Here's another view of the front, which is nice. Here's the back. So again, we have, these aren't actually fisheye darts. When they're more like pleats, they're two open ended pleats, which is actually pretty interesting. It's an interesting way to get the ease that you need across the shoulder, as well as across the hip, which is nice. Looks like inseam pockets also. So yeah, you can, there are three views. One is with this like rope trim. The other is with self fabric, which it's hard to tell the lengths, but I think A might be longer than this, maybe knee length. And then you have the shorter version C that has a different sleeve with a little slit here as well. But look how cute their new pattern coppers are. Very modern, very simple, which is good. Okay, so we have suggested fabrics, brocade, crepe, denim, linen types, poplin, satin, satin. Yeah, I totally agree with all of that. Even just some lighter weight wools would be really nice. I mean, it really could be a season, you may be outside of summer, but you could have a spring version, fall and winter. And then thread two snaps, there's your cording, and then one button. So no shoulder pads. And then we have our bust finished measurements. I would like to have all three of them on the cover, but I'll take the bust over none of them. Yeah, I think that's pretty cute. The sizing is 6 to 14 and then 16 to 24. Mrs. Jacket and three links are unlined with dropped sleeves and two style options. So I'm guessing this shoulder is a little bit wide is what they mean by the dropped sleeve. It's not too exaggerated. Asymmetric or center front closure? Asymmetric? Asymmetric or I guess these are considered asymmetric. Okay. Okay. And front and back darts create shape. Sure does. Yeah, that one's really cute and different, right? We don't see a lot of patterns like this. So that's nice. We've got a Mrs. Pocket Dress. Oh, this one's gonna be rough. Okay. Wow. Okay. A lot going on here, but we've got a really wide neck, a raglan sleeve, a wrist tie, a button front bodice, a very large belt out of self fabric, and in these huge pockets in addition to a midi length skirt, all in this like hospital gown cotton fabric. Ugh. It is giving me like, like war nurse from like the 40s. What's that movie with Ben Affleck? Oh shoot, about the balmy Pearl Harbor. It reminds me of the people, the nurses in Pearl Harbor, right? I don't know what's the back look like. Pretty straightforward back. Let's see the line drawings. Oh, that's not helping. I mean maybe the cap sleeve is a little bit better, but is this an elasticized waist? The neck? I don't know. There are some redeeming parts. I just don't think, I think the fabric's not great. The pockets are just, I mean maybe if it was in like a twill type fabric, you know, more utility, maybe I could make sense of this, but this skirt with this bodice, they don't go together.  The belt is okay, you know, but then yeah, okay. I don't know. Here are the other line drawings. So v-neck, a little cuffed elbow length sleeve. These are both midi length. There also is a knee length version of C and then it looks like everybody's, all the views are elasticized wastes and then you put your belt or your tie over that and there are belt carriers there. And I think this is the opening, like this is the closure. This is how you get in. So I'm curious to know if you just step through the elastic and it ends up being wide enough. I don't know. Single fold bias tape, elastic buckle buttons and buttons. Yeah, there's no zipper or anything. So I'm guessing that elasticized waist stretches out enough that you get it over your head and shoulders or the other way from over your hips. Okay, chambray cotton types, gingham linen types, poplin, satin, shirtings. Yeah, I think that they were trying to go for like a spring time, lightweight situation. I'm just, yeah, this shirting is not, not the right choice for me. I don't like it. You need an insane amount of fabric. That must be a very, very full skirt. Or if this, the waistline isn't actually a seam. No, it has to be because of the belt. I mean, because of the buttons. I don't know. That's a lot of fabric though. Even C with the short sleeve and the short hem, you still need more than three yards. That's wild. And then you get your finished bust measurement on here. All right, sizes are six to 14 and then 14 to 22, mid calf or knee length, raglan, short or long sleeves have tie cuff feature, front button closure on bodice, semi full skirts and buckle fastened belts. Okay, next up, oh, this girl looks great. This is super chic to me. Okay, loving the like a little bit of a nod to like the 70s here. This is like I said, super, super chic. I'm pretty sure this is some kind of linen or maybe a linen blend, which I am loving. I love linen sewing with linen, wearing linen, obviously all good. Very similar photo to the first one. Here's the back. I'm forgetting to talk about the details because I like the dress so much. Okay, so we've got this like shawl collar set in sleeve that's a little bit flared. And then this tie with this really cool, like I remember these from the 80s. I remember when you used to put the hem of your sweatshirt through there. Are we going to bring that back? I'm here for that. And then it's kind of like creates this wrap front. You've also got some darting things happening, which is really nice too. And then you've also got it looks like a dart situation happening in the back. Here's the back collar really pretty. This might be a little bit narrow. But other than that, the fit looks really good. Here's the pattern cover. They also have a sleeveless version and a shorter sleeve with a tie without a buckle. And maybe this is long and this is short. Yeah, so there is a knee length version as well. This is cool. I don't I haven't seen anything like that either. I would love to learn more about how that's constructed. And we'll get to the line drawings, but this looks really interesting. It looks like it's those darts again, those open ended darts. I'll take anything in the back. You know what I mean? I'll take anything for shaping. But can you imagine this sleeveless version in the linen, in the springtime, even the full length and everything with some sandals come on. I'm here for that. Chambre, cotton, gauze, gingham, linen. Yeah, all of those lightweight woven. For sure. Fabric again, you kind of need a lot. C, which is the shorter version with the short sleeve is requires the least amount of fabric. But obviously, you could make a out of the shorter length to and you could probably knock off half a yard of fabric for that. So and then you have your finished bust measurements. I really like this. I like this a lot. Sizing is six to 14 and then 16 to 24. Mrs dresses in two links, front wrap with edging variation. Did we notice the edging variation? Oh, yeah. So here it looks like this one is a facing on the inside. And this one is more like a like a shawl collar that's folded over to the right side. And you can even see here the neckline is turned under. That's cool. That's super cool. Sleeveless set in elbow or three quarter length sleeves, sash tie with buckle or not fastening. Yeah, this is going into my wish list for sure. All right, front tie dress in three lengths. It's hard to tell whenever the pattern is so busy. It looks like a wrap. Oh, I really can't tell. I'm loving this sleeve though. And then maybe like a bottom ruffle, but maybe not. Is that a seam right there? Yeah, I can tell it's very hard with these busier prints. Okay, there's a pocket. There's a tie. They might just be like a mock wrap bodice with this. I do like how maybe it's not a wrap at all. I don't know.  Okay, let's do that. All right, what do we have here? Yeah, it is a bit of a crossover with almost creates like a notch collar, which is really nice. Then you've got your sleeve options are this like bishop type sleeve, the flutter sleeve, and then the sleeveless. And then you've got a couple different waistband things. I think like this one feels like it has an actual waistband, but maybe that's just wrapped around a couple of times. And they just tied it differently on these other two. I don't know. So again, with the elasticized waist, and I'm assuming that's where the seeming or the shaping is coming in for the back. And then yeah, just your self tie. So I mean, okay, that's all right. Not great, but it's all right. Here's the pattern cover. Yep, chambray cotton linen types, poplin, shirting and silky types. Yeah, definitely crepe and rayon and all of that too. They might be, you know, I never really noticed this, but they might be not suggesting those fabrics because they reserve those for their summer patterns. You know, just as the suggestions, I don't know why they would do that because you could also make this out of fall type fabrics too, you know, heavier weight ones than this. So I don't know, that would be something interesting to ask them. Okay, so then you have your finished bust measurements that looks to be like across the board what they're going to give us. Oh my word, five yards for A.  I don't know. I find that a little bit surprising. Look, even C, that's a sleeveless knee length fit and flare dress. I've made it a thousand times more than two and a half yards of fabric. I mean, I guess it could be a very full skirt. I'm just underestimating how wide that skirt is. The sizing is 6 to 14 and 16 to 24 again. Misses dresses with wrap front detail on bodice and semi full skirts. The fixed sash wraps and ties to front or back sleeveless elbow length or full length sleeves. Okay. Ooh, look at this little number. So tops, belt or scarf and pants. Look how cool those pants are. Okay. So you've got a little keyhole opening here or a little slit opening really. Center front seam, set in sleeve, wide, almost like flutter sleeves, sash belt, and then you've got the pant. I'm going to presume these are elasticized waist, but with this slit opening. Now, before I go on raving about how awesome this pattern is, I want to tell you, in 2019 we had probably 548,000 different versions of an elasticized waist pant. And all they've done here is finished off this seam instead of sewing it closed. So if you happened to buy one of those 548,000 elasticized pant patterns this year, don't go out and buy this for the pants. You can make this out of that same pattern that you already have. Just want to put that out there. Okay. Here she is, forward facing. I like this when they do this front on photo. I think it really helps assess what's happening here. Like, yeah, the pants are super cool. Yeah, I think that the rest of it is pretty straightforward. Yeah, the top is not, you know, anything super unique. The fact that you have to Oh, that's funny. The belt and the tie. I'm sorry. The tie and the scarf are the same thing. It just depends on where you put it on your body. That's funny. Um, like I said, not super spectacular, but if you don't have anything like that, okay, sure. And then yes, here are the elasticized pants. It looks like they also have sightseeing pockets. And then there's the back of the top and your scarf slash belt. So I mean, okay, the way that they have styled this, the fabric that they chose for it, this is how you sell sewing patterns because this is not like I said, an exceptionally unique sewing pattern, but she looks like a million bucks. And the way that they have put this together makes it look like something I don't have already, which when I look at the line drawings, I'm like, no, I definitely have a top like that. I can sew a sash without a pattern piece. And I mean, I have some elasticized waist pants in my stash too. Do you know what I mean? So that they did a really good job with this one. Six to 14 and then 14 to 22 on this. Mrs. Coordinated pants and top pull on top is sleeveless or with flared elbow length sleeve, front neckline slit, narrow scarf or waist type pants are pulled on with elasticized waist, semi wide leg and optional side leg split. So there you go. Love it. Okay, here is a shirt with drape variations. Oh, this is fun. So it's a take on a button down. Let's zoom in. You've got your jewel neckline. You've got let's just cut straight to this. I can't even tell what's going on. It's interesting. Yeah, it's like, okay, so she's got, it's like a cape on one side.  Here's another good picture for it. This is just kind of funky. Where do you wear this? I guess you wear it to target. It's kind of cool. I just don't think I'm cool enough for the top. But you can make it like a regular one, you know, it does have a, what do they call that, a stepped hem with the splits on the side curves in the back or you can make it a full on cape shirt. But then is it like you have to wear something underneath that feels very like exposing. I don't know why when she's like this, it's not like you can see up in there. But still, I don't know. I think that would make me feel uncomfortable. Here are our line drawings. This is so bizarre. But you know what it is, it's like I'm always saying like, I want something unique. I want something different. You know, we've seen these same patterns over and over and over again. And here they are giving it to me. So I need to embrace it and encourage this behavior. Maybe it's not for me, but at least somebody's using their brain and trying to be creative and coming up with new and different things. Maybe the top would be more wearable for me if it weren't in a shirting, if it were in more of a lightweight fabric. But again, even that I'm not 100% sure on. I don't know. It could either be really cool or really weird. I can't decide, which probably means it's really cool. 6 to 14 and then 14 to 22. Mrs. Shirts, loose fitting shirts are buttoned with round neckline, straight sleeves, poncho style or sleeve with opposite poncho style sleeve asymmetric hems. I think it's cool. I don't know. What do you guys think of this one? All right, next up, this is cute. Mrs. Top with optional neck ties. Love the fabric. So again, with the high collar, this one has a little bow detail. Pretty straightforward on the hem. Here's the back keyhole opening in the back. I love the little self covered button. Beautiful. Yeah, bust art. They put her in just some jeans. This is a very cute little kind of dressy casual outfit. Okay, here are our options you have and I love how far cut in the neckline or the sleeve opening is. This really is going to extenuate your shoulder and make it look really beautiful and feminine, which is nice. This is giving me a bit of an Asian vibe. You've got a little mock turtleneck and then a kind of like a grown on like really, really short Dolman sleeve or you have this version, which where the scarf hangs low and then her version, which is tied into a bow. Let's look at all of those again. So yeah, where the bodice, this is really simple to make. It looks maybe complicated, but you could probably actually make this from a tank top pattern that you already have. You just extend one shoulder into a tie shape and make a little facing and that's it. Here's this other version, which is kind of interesting. I kind of wish they would have made up one of these because these are the ones that feel a little bit more interesting and maybe hard to picture made out of fabric. But here are the backs. Curved him on the front and back, which is nice. Yeah, cotton lawn, shirtings, silky types, wool. Okay, bias tape, button. Yep, small snap. For B, two buttons, elastic cords, small snaps. So okay. And then bust measurements only. Yeah, it's cute. 6 to 14 and then 14 to 22. Pull on with back, neck, button closure, sleeveless or slight cap sleeve. Front bust starts curved him round neck, soft stand or long tie neck collar. VUB has tie feature at left shoulder. All right. It's sweet. I could see this. It's very ready to wear. You know, I can see this in like a Banana Republic or something like that, especially out of, I'm assuming this is silk or they have this really great fabric at Joanne called Sanded Satin. It comes in a ton of colors. I absolutely love it. That would make a great top out of that fabric. All right, Mrs. Top with tux. I feel like they gave this poor girl all the worst outfits. Oh, bless her heart. Okay. So pin tuck heaven. You got all these pin tux here, which are actually quite satisfying to do and a lot of fun. But you've got a drop shoulder. You've got a sleeve cuff button front. And then all the tux release into this knee length, I guess shirt with a split at both hymns.  I don't know. What do we think of it over the jeans? They're definitely trying to make a statement with a some kind of trend here. They also have this like stand collar too, which I forgot to mention. Okay, so our variations are a shorter sleeve with a tab and then this curved hem. I think that would have been better over the jeans than this straight hem. C is maybe tunic length. And then here's a the pockets in C. I mean, are those top stitched down? Maybe that won't be so bad. But still, here are our line drawings. C is also missing the collar. I mean, I think fabric choice is going to make a big difference here. And I think how you style it. I mean, this could obviously be a dress. It doesn't have to be a shirt over pants. You know, it could be cool. Chambray, cotton lawn, gauze, lightweight cotton, lightweight shirtings, linen, wool. And then your finished bust. It's very loose fitting though. Okay. 6 to 14 and then 16 to 24. Misses shirt or tunic in three lengths with sleeve style variations semi fitted at the bust with drop shoulder stitched feature tucks, mandarin collar and front button fastening. It certainly would be fun to make. All right, layered tunics. So you've got your rounded neckline, a drop shoulder, like buttons as decoration. And then something funky happening here with another layer of fabric coming underneath. Oh, here we go. This is funky. I might be speechless. Again, I don't hate it. Okay, so they have other versions where this little curved situation is happening on the other side too. And also where the like contrasting fabric is also peeking out of the sleeve. So that to me seems a little bit more intentional. This kind of feels just confusing. But like this makes sense. This makes sense. The buttons, I'm not getting buttons as decoration. I don't get it at all. But I think it could be really cool, especially if you used like sheer fabric for the contrast or like monochromatic, but with different textures.  Yeah, okay. So here are line drawings. Yeah, nothing we really missed. The first go round. They are recommending shally, double georgette, gauze, jerseys, silky types, washed linen and linen blends. Yeah. And I also want to say that the underlay could be obviously a different substrate altogether, but you could have different weights. Like you could even make the top part out of something like a lightweight ponty and then put the chiffon underneath or like a shally or something incredibly lightweight. Two layers of linen could be cool. Or like a linen and a gauze. Okay. Finished bust measurements and it looks like alphanumeric sizing. So yeah, extra small through extra large all in one. Hole on tops with layer effect and shaped hems, short sleeve variations B and D are also layered. View D has a button feature on shoulder and View C has button feature outside. Online jacket with waist belt. Oh, look at that blanket stitching. Do they teach you how to do that? Do you do that by hand? I might skip that part, but I do love the big buttons. That's cool. And then you've got your, is this a drop shoulder again? I think so.  Yeah, this is great for spring. I can't say, oh, that's a nice detail too. I can't say that I'm loving the blanket stitching and these large, like wooden buttons that feels very midwestern, I guess, which is very specific. But here are other versions. So you can, I guess, use smaller buttons, more of them. They also have chest patch pockets or you could do a patch pocket at the hip and these, oh shoot, loop buttons and loops. What are they called? Oh, shoot, my brain's not working. And then you have like a regular long sleeve. This could even be great out of like a cardigan type fabric, what I'm trying to say is a knit, I guess. And this one even has more belt carriers. So this feels like, if you took off the sleeves, we've got sort of a trench happening here, which is kind of cool. It's like a variation on a trench coat. I like this one. I think there's a lot of fun opportunities with styling it and with fabric choice. I think it's kind of super cool. Oops, go back, go back. I want this. All right, cotton types, denim, linen types, poplin, satin, twill. And then C, they're suggesting you could also make like a shirt, which is similar, I guess, to what I was saying about how C could be in different fabrics than the other two. Thread, D rings. I wonder what the D rings are for. Oh, I guess for the belt. Five buttons, three huge buttons. Oh, and snaps. And then yeah, you hand embroider that blanket stitching. C actually has piping, which I didn't realize, so that's cool. And then here's your bust measurements. Again, pretty loose fitting. I think it's really cute. All the sizing in one, Alphanumeric, extra, extra small, up to extra, extra large. Mrs. Jackets in two lengths, unlined with front fastening and pocket variations, drop shoulders, straight, long or cuffed sleeves. UB has blanket stitch feature edging. All styles have soft belt. Cute. All right, here is Mimi G and her husband modeling their new men's and teens jacket and hood. So yeah, basically a cargo jacket. We've got a camo one, which is super cool. Here's the hood. I'm guessing it's detachable. Wow, look at all these pictures. I don't even know what to do with myself. Okay, here we are again. I feel like we're not going to get the full experience of all these pictures with it zoomed in like that. So we'll go through them this way. Yeah, we've got the shoulder tabs. We've got a lot of pockets. We've got a zip with a fold over like button covered button situation. His looks like it's just a zipper with no, no, there's buttons there. Kind of oversized, kind of loose hers is knee length with it might have some like a casing thing happening here. Cute with the hood. Also, maybe a drawstring at the hem. Yeah, drawstring here, drawstring at the hem. You guys have seen these ready to wear jackets before. Oh, there's this interesting detail. This would just be a lot of fun to make with all the different construction elements.  So little cuff button detail. The camo version super cool. How neat are all these pictures look the hood on zips. I love that. I think it's really cool. Okay, so did we not get after all that did we not get any I guess we have to go down here for the envelope back. All right. Chino, cottons, denim, poplin, ripstop nylon, sweatshirt fleece. I don't know about that twill. Thread, a zipper, 15 buttons, grow green ribbon, cording, a separating zipper, cord stops. You need a lot of stuff for this, but you'd have a really cool jacket whenever you're done. Alphanumeric sizing. You don't need a ton of fabric considering you know everything you've got going on here. And then your finished garment measurements in the bust. So again, it's pretty loose fitting. So all right, that's awesome. This is men's and teen jacket, unlined combat or parka jacket has front separating zipper and button placket, elasticated waist, four front pockets, two lengths and him style options with a detachable hood. So cool. I think this is going to sell like gangbusters. Super cool. Good for them. Okay. Next up, we have this back wrapped skirt with pockets. And then they put um rickrack around the pockets. I don't know about that. Okay, so patch pockets, big ruffle hem, kind of a close fitting skirt, some kind of wrap situation happening. So yeah, just wraps around the back instead of the front. Okay. And then you've got a really nice back dart. There's another view of that. It's like an apron. Look at these variations. So you've got this little tulip pocket and then you've got a kangaroo pocket with some kind of weird strapping on the bottom. What is the point of that? Literally, what is that? Are you supposed to hang something from there? Like just to put your keys on that or something? I don't get it. I don't get it. Okay. You have three lengths and then here's your back. Bateek, chambray, cotton types, lightweight denim, linen types, poplin, A and B, the longer versions also in silky types. Oh, look at all these finished. Oh, no, just kidding. They give you the hip measurement here. Very close fitting and through the hip. I mean, skirts are definitely having a moment. So, you know, maybe, but this one with the pockets and the just weird details, I don't know. I don't know. 6 to 14 and then 14 to 22. I'm sure somebody's going to make a really cool version of this. I'm going to be eating my words, but it just feels a little like too much is going on. Uh, Mrs. Skirt wraps up back with a sash tie that fashions outside. Knee or mid calf are straight. Full length has deep furled hem. Front pocket variations. Okay. Did I say the sizing? Yes. All right. Next up, we have another skirt, a sarong skirt. Well, this is really pretty. That looks fun to make. So they've got this in like a little crepe happening. Cool. Here's the back. You've got an invisible zip, a couple of darts. This is some kind of how the sash thing is made. I'm guessing what happening is happening is this piece here extends and then you sew the shorter end of the tie to the side seam and then you tie them together that way. But we've got a lot of versions here. So A is I think like hers, but longer. And then we've got this one. And then we've got this, which it kind of looks the same, but also different. Like it has these, maybe they all have these pleats here and they're just different lengths. And then this one doesn't have a tie, but it has buttons. That's hard to tell. Yeah, these are definitely the same in different lengths. And then B and D are the same length, but this one just has buttons instead of, I don't know, this could be cool. And then A and B has this separate tie. I don't get that part. I don't understand what's happening. I'd have to read the instructions. So shally, cotton types, crepe, double georgette, gauze, linen type, silky types. Yeah, I also kind of feel like a little bit more stable, like chambre would have been fine. I mean, wall can be a little bit sheer.  Yeah, it's cool. It's definitely interesting. All right, four to 12, and then 14 to 22 on the sizing, sarong style with pleats, or gathered to left front in three lengths with front curved hem. Yeah, pick your poison with this hem.  But it is beautiful whenever you're done, that's for sure. That's cool. I just want to know how it's, you know, like the puzzle part of my brain is like trying to figure out how did they do that? All right, we're going to skip the men's only pants because I don't make men's clothing, but it looks like they've got a really kind of like retro modern thing happening. So if you do so men's clothes, this could be really cool. All right, we've got pull on pants, aka elasticized pants with pockets. No, guys.  Oh my gosh. Okay, so this is like very unplattery. There's like a ruffle paper bag thing happening, but then also a waistband above that. And then look at this hem. They're like small leg openings and they're like pooling, gathering at the bottom. I don't know. Oh, look, they're like, that looks awful. Let's fold these. So they rolled up the hem, but still this is, nobody wants a tie that far below their belly. It's like accentuating any kind of belly that you might have, even her. And she's like little and thin. And then here's the back. They do have a one patch pocket, two patch pockets. They match those fabrics so well. It's like dipping down in the back. So you know that there's some issues with the crotch curve. Like this is just giving me like PBGBs. And then you instead of this, what monstrosity of, I don't even know what, you can make it without any of that. Thank God. And do like a D ring belt or a sash or, oh no, I'm really confused. This has D rings hanging from the bottom. So I don't even know. And then you can even do the seam down the front. But the tapered and the, oh gosh, gosh, gosh. Oh, is that just the pocket? Okay. So that roughly thing is only the pocket, but this tie here is like so dumbfounding to me. So maybe just leave that off if you're okay with the rest of this. It's not that the rest of it is that great either, to be honest. Oh goodness. All right. Well, there you have it. Shambray, cotton types, lightweight denim, linen types, poplins, satin, seersucker. And then you have finished hip measurements. And then the length. Sizing is six to 14 and then 14 to 22. Pull on style in two lengths with elasticated waistband, straight leg with feature front pockets and back patch pockets, belted or tie front detail. All right. Okay.  We'll check this out. Just for the mommy version. Looks like raglan sleeve, high neck patch pockets and a like a hip length ruffle. It's actually not terrible. You've got your button tab sleeve. Cute. Sweet. Well, that probably wouldn't be so flattering on me. I'm a pear shape.  I don't know that that would look very good. They also have short sleeves for it, though. Oh, there you go. All right. Let's see what else we've got. Kids, kids, kids, kids, and then this was our fall. So that is it. That is our new simplicity spring collection. What do you guys think? Does it feel new and fresh and transitional? I think so. There were a lot of really, really great standouts. This jacket for one. Love this dress. What are some others? This jacket, Mimi's jacket, this skirt here. Yeah, there are a lot of really great pieces. And again, I feel like overall, almost every single pattern took something that could be basic and kind of turned it on its head a little bit, you know, gave it a little bit of extra something to make it different, make it unique, make this collection stand out from the sea of patterns that we have now. I mean, we just have so many to choose from. So I like that all of these feel very different and very uniquely simplicity, which is great. So let me know what you think. Let me know if you'll be getting any of these patterns. If you'll be adding any to your wish list, what were your favorites? What were the duds? If you agree with my opinion, if you disagree, let me know in the comments below. It's truly my favorite part. I love hearing, you know, everyone's different opinions and what everyone thinks. So I guess I'll see you down there in the comments section. That's going to do it for me today. Thank you all so much for watching, and I will see you very soon. Bye.


I remember back in my college days, there was always one thing on the menu, ramen noodles. First thing you gotta do, smash them. Next step, you get in here and you find that little ramen packet and then you throw it and now you see how far it'll fly. That was a pretty good shot.   All right, now, if you're a professional, you know the right water to noodle ratio. Get the new danos cheese name. I wish this was available when I was in college, but we're gonna use a bunch of it. It's like Parmesan cheese mixed with Italian herbs and spices and some danos. I'm telling you all what, on some ramen noodles, you can't beat it. Now it's time to give it a bite. Mm.