Thank you, Philip, for the introduction and thanks to the organizers for the opportunity to speak here. I'm very pleased to be here. So as Philip said, I will speak on unlikely intersections and distinguished categories. And the work I present today is a joint work in progress with Fabrizio Baruero. And that now is pretty much finished and should appear on the archive soon. So roughly I want to speak about three things and what are unlikely intersections. So especially for people who are not familiar with this field and then what are distinguished categories which is something that Fabrizio and I are proposing to introduce. And then thirdly, what can we prove about unlikely intersections using distinguished categories. So here's a quote about unlikely intersections by Lady Bracknell from the importance of being earnest to lose one parent might be regarded as a misfortune to lose both looks like carelessness. I would love to be the person who came up with this joke but it was Galbini amini. But so this is what you should keep in mind so we have something unlikely that maybe happens once but we don't expect to happen it twice or we don't expect it to happen too many times. So then I want to start with this theorem which is a very special case of a result by Bumbieri-Musser and Zanier from 1999, which in this very special case just says that there are most finitely complex numbers tau such that tau, tau plus one and tau plus three satisfy two independent multiplicative relations. So what does this mean, there exists linearly independent vectors ABCDEF with integer entries such that tau to DA times tau plus one to the B times tau plus three to the C equals one, and they're the same for DE and F. So if we just impose one such relation, then we can solve it for tau and we find a tau that satisfies it and by varying the relation we find many tows. But then the theorem tells us in all but finitely many cases, these tau will not satisfy a second relation that is independent from the first. So yeah I chose this example because here we can easily find some tau for which there are two relations so if we take tau equal to one we get one two and four and then we with this choice of ABCDEF. Yeah we see that these relations hold so there might be or in this case there are finitely many exceptions, yeah but only finitely many of them. So this this special case is an instance of a more general theorem that they proved. So if we take any curve C inside the nth power of the of the complex multiplicative group so that's just the complex numbers without zero to the N. In the example n was equal to three and we take any curve in there that is defined over the field of algebraic numbers q bar and whose coordinate functions are multiplicatively independent modular constant functions. And then the curve contains at most finitely many points that satisfy two independent multiplicative relations. And this was then later shown by more and in combination with with a further result of Bumbini remastered zanier that this stays true. Also for curves that are not necessarily defined over q bar and whose coordinate functions are just multiplicatively independent and not multiplicatively independent modular constant functions. So some non trivial product might be cons might be constant but not equal to one. And this condition that the coordinate functions should be multiplicatively independent it's quite clear that this is necessary, because if this isn't satisfied then we have one non trivial relation that holds on the whole curve. So if we get one relation for free and then we can again impose a second one, and by varying that we find infinitely many points satisfying to independent relations. So, so the guiding philosophy here is that a curve has dimension one. And if we impose two independent multiplicative relations this defines a sub variety of co dimension two. And so, in the absence of any other information, we expect the intersection to have dimension one minus two which is negative which means we expect the intersection to be empty. And then of course we can vary the two relations that we impose. And for each pair of relations we expect an empty intersection but of course in some cases it could happen that that the intersection is not empty. But still, we expect the union of overall these probably empty intersections to be finite. And unless there is a reason for it and not to be finite in the form of a multiplicative relation that holds identically on the curve. Okay, so so before I continue. Here is, I want to introduce some settings so fields are always of characteristic zero and K is our ground field which is algebraically closed of characteristic zero you can think of the complex numbers or the algebraic numbers. And varieties will always be reduced irreducible and defined over K unless stated otherwise, and sub varieties will always be closed. So I want to basically restate the theorem. I already stated but in with a slightly different terminology that is then also well suited to to generalization. And for this I want to speak about a special and weekly special sub varieties.  And so I can introduce this in this generality so for example, the case we had before a power of the multiplicative group of C star, but G could also be an elliptic curve or a power of an elliptic curve, and or an abelian variety. Or also the additive group GA or a power of that. And, and then a special sub variety of G is just a component of an algebraic subgroup of G, while a weekly special sub variety of G is a translate of a connected algebraic subgroup of G by an arbitrary point. And then it's easy to check that if we intersect to special sub varieties, any component of the intersection will again be special and the same for weekly special. And therefore, if we have a sub variety V of G, we can define it's a special closure be in angular brackets to be the smallest special sub variety containing V. And similarly we can define the weekly special closure to be the smallest weekly special sub variety containing V. Okay, and just to give a concrete example if we're again in a power of the multiplicative group, then special sub varieties are just components of sub varieties defined by equations of this form. And then special points are torsion points so so points whose coordinates are all roots of unity and weekly special sub varieties and our components of sub varieties defined by equations. So, from x1 to the a1 product up to xn to the an but now just equal to some constant element y of the field, not necessarily one. Okay, so, and having introduced this this terminology, and it's now a good point to go a bit back in history. I speak about this theorem of Laurent, which is the, the toric version of the man in Mumford conjecture, which says that if we have a sub variety V of the power of the multiplicative group it contains as a risky then set of torsion points if and only if it is special. So, so one direction here is quite easy if you have a component of an algebraic subgroup it will contain as a risky then set of torsion points and the non trivial direction is the other one. Or equivalently, and we can also say that a sub variety of a power of the multiplicative group contains at most finitely many maximal special sub varieties. So, in the sub variety you might have, for example, infinitely many torsion points, but then the theorem tells you that the sub variety must contain a special sub variety of positive dimension. And if we go to maximal special sub varieties there, there are most finitely many of them. So, in particular, what, what does this mean for curves and non special curve contains at most finitely many special points. So, so this statement is somewhat similar to the statement before that if no relation holds identically on the curve then there are most finitely many points that satisfy two independent relations. And soon we will see a statement that unifies both these statements. Okay, so here's, here's again the theorem from before now in a bit more general context so, and so I, this is attributed to various people because this is actually not a theorem but more a scheme of a theorem I'll say something about that in a minute. So here the the ambient variety G is a semi abelian variety so, for example a power of the multiplicative group, or an abelian variety, or, I mean the most general case would be an extension of an abelian variety by a power of the multiplicative group. And we have a curve C in there that satisfies a certain hypothesis hype see I'll say in a minute what what this is, and then the set Sigma of points on the curve, and such that the dimension of the special closure of the point is at most the dimension of G minus two. This set is finite. So as I said this is a scheme of a theorem, and so actually many theorems combined into one. And this table here shows some instances where we know that this theorem is true. The case I already spoke about is if G is a power of the multiplicative group. And the base field is the complex numbers and the hypothesis on the curve is that the special closure of the curve should be equal to G. So this just means there's no non trivial multiplicative relation between the coordinate functions of the curve. And just the theorem I stated before, and as I said this is known, thanks to work of moran and the Bumbieri master and that's on the air. And then this theorem was also proved for certain special abelian varieties a over Q bar. So for example, and powers of elliptic curves or a billion varieties with complex multiplication. And sometimes under the stronger hypothesis that the weekly special closure of the curve should be equal to G. So so which in the GM case would say that no non trivial product of the coordinate functions is constant. And so with the weaker hypothesis that just the special closure of C is equal to G. And so this was done by by various peoples and in the first decade of of this millennium. In 2016, and how beggar and Pila and prove this theorem for an arbitrary abelian variety a over Q bar with the weaker but the necessary hypothesis. And in a pre print that is accepted for publication but but has not appeared yet for Britzy on the eye, then extended this to to abelian varieties overseas. And in recent work in progress, Barreiro, Kine and Schmidt, and even treated an arbitrary semi abelian variety but, but now again only over over Q bar. Yeah, so so these are the instances where where this theorem is is known. So, before I continue and give now a general conjecture that somehow unifies the money month for statement and the statement in this theorem I have to introduce yet more terminology but but this will be the last reformulation so and for a sub variety V of G, I can define its defect to be the difference in dimension between the special closure of V and V. And then if I have a chain of sub varieties w inside V inside G, and I call w optimal for V in G. And if there is no way of making w bigger, while still remaining inside V, without increasing the defect. So, any sub variety you that's in V and strictly larger than w must have defect larger than the defect of w. And then we can also define the weak defect and being weakly optimal just by replacing here the special closure by the weekly special closure. And so so how does this relate to the previous statement so if we have a curve inside G, who special closure is equal to G, and then the defect of the curve is by by plugging into the definition is just the dimension of G minus one. So a point on the curve will be optimal for the curve in G, and if and only if its defect is strictly smaller than the defect of the curve and the defect of a point is just the dimension of the special closure of the point. So the optimal points here are just the points whose special closure has a dimension at most the dimension of G minus two so we get the set of optimal points in this, in this case is precisely this set Sigma that we had in the theorem before, and where the theorem said it was finite. Okay, so I hope that and this is sufficiently convincing and to you to make this conjectural generalization of the theorem and due to a silver and and in this formulation due to have a grand Pila, which basically says if we have any sub variety V inside G. It contains at most finitely many optimal sub varieties. And here I want to introduce this statement, Z P G M D M which says that any sub variety of dimension at most M contains at most finitely many optimal sub varieties of defect at most. And just because later, and I want to speak about the result where that says if we know this for some M and D, we also know it in a more general context for the same M and D. And so it's it's not necessary to prove it for all M and D. There's also a different form of this conjecture due to pink, where maybe the unlikely intersections aspect is a bit more clear. And this says if we have a sub variety V of G, and by G superscript K, we denote the union of all special sub varieties of G of co dimension at least K. Then if the special closure of V is equal to G. And then the intersection of V with all special sub varieties of co dimension at least the dimension of V plus one is not so risky dense in V. So you have something of dimension V and you intersect it with things of co dimension larger than the dimension of V. And you expect the intersection, not to be so risky dense in V, unless there is a reason for it in that V is contained in the proper special sub variety of G. So it's, it's fairly elementary to see that the upper formulation of the conjecture implies the lower one. And one thing that came out of the work of Fabrizio myself is that in this context of semi a billion varieties also the other direction holds so these two conjectures are actually equivalent. So, so this includes one in one fourth since the optimal sub varieties of defect zero of V. And these are precisely the maximal special sub varieties of V. So, as the sub varieties of defect zero are the special sub varieties and being optimal just means not being contained in a larger special sub variety contained in V. So, this statement ZPG M zero for any M this is precisely one in one fourth for G proven by Renault in the Abelian case, and then hindering the in the most general case. And then I can't go into details but the, the, the silver pink conjecture also implies the more the land conjecture. This is proven of course by faultings and, and, and hindering. And so in particular to give a bit down to earth example. It implies that if we have a polynomial equation in two variables like for instance this one that defines a curve of genius at least to this will have the most finitely many solutions in in rational numbers X and Y. And the silver pink conjecture. So somehow, many important conjectures and results in number theory are summarized by it. Okay, so, so up to now we were in the world of commutative algebraic groups or semi a billion varieties. I want to introduce another world, the modular world where all these concepts that I've introduced so far, and also exist and the corresponding conjectures can be made. Now, Gabriel, the question in the chat room for you. Please just ask away. Yeah, I'm sorry. Gabriel, could you just comment a bit on the choice of this genius to curve. Oh, and, and what, how come what are these numbers with. Well, the, the birth years of, of three people are in there. And I think all these people are are now in, in this seminar, as speakers or as parts of the audience. Who was born in 130. Only three people. No, I think also there's nobody here who was born in the year and one. Okay, somebody was born then. Nobody who's here now. Well, anyway. Okay. Yes. So, yeah, so there's there's this whole other modular world of Shimura varieties or mixed Shimura varieties if this frightens you then I can say that it also frightens me and and some examples will will soon be forthcoming. But the important thing is that that all these these concepts I've introduced up to now also exist in that context and and and also the version of the silver pink conjecture. And what you, you might be familiar with in that case is again the D equal to zero case that corresponds to one in Montfort, and which is the Andre art conjecture, which for Shimura varieties of a billion type is known by by work of Zimmerman. Yeah, so some examples so typical examples here are our modular spaces of a billion varieties and and families of a billion varieties. For example, the the affine line a one, which is the the modular space of elliptic curves so think of of the J invariant and or a G, which is the modular space of principally polarized a billion varieties of dimension G, and which which is a of dimension G times G plus one over two. And or to also give a family of a billion varieties. For instance, the Legendre family of elliptic curves that is defined by by this equation y squared z is is x x minus z x minus lambda z, which for varying lambda not equal to zero or one. The parameterizes a varying elliptic curve in the in the project of play. And special points here are just torsion points on fibers with complex multiplication, or in the case where you just have a modular space they are just points corresponding to to see a million varieties. And I hope this and gives a bit of a picture of this modular world. And okay so so that's part one what what are unlikely intersections now what are distinguished categories so so this is something we propose to unify both these worlds that I've introduced up to now into one context. So if unified proofs of certain statements and also prove new results. Okay, so. So we have a category C with objects V morphisms M and the covariant functor F to the category of varieties over K. And the functor is a is a technical nuisance and just think of the inclusion functor so as he is a subcategory of the category of varieties this will not always be true but but then. For simplicity thing like this, then we call this category distinguished if it satisfies for axioms so first of all it should have a direct products and that are mapped by F to direct products. And second, and it. It almost has a fibered products in a sense. So, and if we have two morphisms. Phi from X to Z and the style from Y to Z. And then after applying the functor F, we can look at the, and the fibered product inside the direct product. And then axiom tells us that we can cover this fibered product by the images of finitely many distinguished morphisms. So there there are morphisms. Phi one up to Phi N from some X I into the direct product X times Y, such that the the fibered product is covered by the images of the F of Phi I. And three, just says that the category has has a final object that is mapped to a single point by the functor. And axiom for says, if we have any morphism Phi then first of all its image should be closed. Then it should factorize in a certain way. So as you see in this diagram, so we have a finite surjective cover W of X and after passing to this cover. The morphism should factor into first a morphism with irreducible fibers of constant dimension and then a morphism with finite fibers. So it's good here to think about algebraic groups. And so if you have any homomorphism between algebraic groups you can first quotient out the identity component of the kernel. And then you're left with a morphism with finite fibers. Of course, these properties are properties of the images of these morphisms under the the functor. Okay, so, so some examples. So, and, okay, there's a completely trivial example where the objects are just powers of a fixed variety. And axiom are just of the form we take a couple x one up to x n, and we map it to x i one up to x I am for some choice of indices, and maybe with repetition. And the function is just the inclusion function. So so everything that comes later kind of also makes sense in this trivial example but but all the statements are of course trivial. Then an interesting example are connected a commutative algebraic groups so so these are the objects and the morphisms are homomorphisms of algebraic groups composed with translations by torsion points. And the functor is again the inclusion functor. And so so if you think this through if we have to algebraic group to connected commutative algebraic groups their product will again be a connected commutative algebraic group. And for the fiber product the point just is that the the fiber product is an algebraic subgroup. And so we can cover it by translates of its identity component by torsion points. And then the final object is of course just the trivial group and then this a four is also satisfied by essentially what I said before. And also we know that the image of a homomorphism of algebraic groups is always closed. So we can also take full sub subcategories of this category, and where we restrict the class of objects for example to be just the abelian varieties or just the semi abelian varieties just powers of the multiplicative group, or just powers of the additive group. And then you might have expected that the third example is is in the modular world so connected mixed Shimura varieties. So, and these are the reason why we need this functor. So I don't want to go into the technical details here, but but basically so objects here are our triples of this form px plus gamma, and px plus is a connected mixed Shimura data man gamma is a is a congruent subgroup. And then we can look at certain morphisms between such triples, and the functor associates to such a triple a certain variety over q bar. And here the functor is needed so we somehow have to keep track of this data associated to the variety so it, it could happen that for for different triples. So that so or it does happen that different non isomorphic triples are just mapped to a point by the functor, but but we somehow need this additional information about where this point came from. Okay, and then and then here also, and we can just look at connected Shimura varieties or just that connected mixed Shimura varieties of Cougar type. So, so what is the, the upshot of this so. So the elements of the I will call distinguished varieties and the elements of m distinguished morphisms and from now on I, I just will often tacitly identified them with their images under the functor this is a fairly harmless. And then I can define in this setting what a special sub right is, it's just the image of a distinguished morphism. And I can also define weekly special to be a component of the image of the pre image of a point and for a pair of distinguished morphisms so we are five from y to X side from y to Z and and we fix a close point in Z. And take a component of phi of psi inverse of Z. And in all the examples these definitions coincide with the usual ones so for example for algebraic groups you can go back and check that this gives exactly the same as as the definition I gave earlier. And then we can actually coincide with pinks definition of these concepts in the case of mixed Shimura varieties where we we kind of got the idea from. And then once we have a special and weekly special sub varieties defined, and I will tell you in a minute that, for example, components of the intersection of special sub varieties are special. So then we can again define the special closure the weekly special closure at the defect and the weak defect just as we did for sub varieties of connected commutative algebraic groups. And then similarly we can also define what it means to be optimal or what it means to be weekly optimal. So in particular we can formulate and a silver pink statement like the one we had before. Okay, so now why these axioms maybe they seem somewhat random. So, I don't have a justification for a one about the existence of direct products this just a part from that it seemed natural to to demand this and that it's satisfied in all the examples. But I'm concerning the other axioms. So first of all a for tells us that the image of a distinguished morphism is closed. So from this we get that special sub varieties are closed. This is certainly something we'd, we'd want. And then special sub varieties are weekly special because of a three so a three says there's always a morphism that maps everything to a point. And so if I have the image of an extinguished morphism it's also the image of the pre image of a point just just by taking the morphism that maps everything to a point. And then with a two in the presence of a one actually is equivalent to say that irreducible components of intersections of special sub varieties are special. So, so that's why there is this axiom about fiber products. And then with a two and a four we can also prove some other natural things like components of images or pre images of special sub varieties are special and the same for weekly special and components of intersections of weekly special sub varieties are weekly special so many, many, many natural properties that you'd want to hold. And the factorization in a for so that you can factorize this with these three morphisms 515253 with their special properties this is is crucial in order to be able to prove anything non trivial. So I guess if you if you drop that then you could just take all projective varieties and all morphisms between them. And of course then not much could be proven, but imposing this this certain kind of factorization actually and rigidifies the situation somewhat. Okay, so so now for the third part what can we we prove about unlikely intersections using distinguished categories so I already gave you some basic statements that we can prove. And also, if if somebody is familiar with the so called effect condition this is also something we can prove with a one to a four. Yeah, but what I want to speak about now is a bit different. And so, and I told you that we generalize this theorem of hope a grand pila from Cuba or to see. And so we realize that some steps in this process of extending the base field ever quite formal and could maybe also work in in much bigger generality. I don't want to speak about now but but unfortunately I have to first introduce a fifth axiom that that you see here. And that informally says that weekly optimal sub varieties come in finitely many families. So if X is a distinguished variety and V is a sub variety then there exists a finite set of pairs phi and psi of distinguished morphisms, such that for for any sub variety w inside we that is weekly optimal for V. So we have a pair phi psi in this set, and the point small set in Z psi, such that. Okay, phi should have finite fibers and the weekly special closure of this w is a new reducible component of phi of sign verse of said. So, so going back to to GM to the end this just says if you have a sub right TV inside GM to the end. And you have a weekly optimal sub variety there off you look at the weekly special closure. And this will be a translate of one of finitely many sub Torah of GM to the end. So, so this is also sometimes called a structure theorem. And then since I, I talked about extending the base field so if you have a distinguished category over K, and you have a bigger algebraically closed field L containing K. And then we can just compose the functor with the base change functor and we get a distinguished category over L so all these properties are preserved if we just base change everything. So you could imagine that we go from Q bar to see, for example. And then we call a category, a distinguished category very distinguished if if every base change with respect to an extension of finite transcendence degree satisfies a five satisfies this this weak finance property. So, so yeah this this might seem somewhat artificial but actually there's many examples that satisfy this let's say for for K of finite transcendence degree over Q bar. For example, a billion varieties satisfy this powers of the multiplicative group as semi a billion varieties connected she more varieties and also connected mixed she more varieties of Kuga time so for example the deluge under a family of elliptic curves, satisfies this. And so you can see here the names and associated to these. In these cases, and non examples here are just any connected commutative algebraic group and also powers of the additive group. And, yeah, this might not be too surprising since, for instance, the more the land conjecture also becomes falls in in powers of the additive group so, and somehow at this step these these algebraic groups are or sift out. So, probably a general mixed she more varieties satisfy this so so there has been recent work on the archive on on mixed action will that that should probably imply this property in general. Okay, so now I can present this theorem that more or less says if we know silver pink over some field we also know it over any bigger field. So, so kind of if you know it for some varieties defined over Q bar you will also know it for some varieties overseas. Okay, but so let me give the precise statement. So we have non negative integers m and n we have k inside L an extension of algebraic closed fields, and see is a very distinguished category over K over the smaller field, and x is a distinguished variety. So first of all, if we suppose that we know said PX prime MD for every distinguished variety X prime. Then we also know ZP XL MD so so ZP for for the base change of X to L so you still have X in a way but but now you allow some varieties that could be defined over L. And then we have a second statement where we can get away with a bit weaker hypothesis. Namely we just need to know ZP X prime M minus one D and ZP X prime MD minus one for every distinguished variety X prime. And then if we have a sub variety V of XL of dimension at most M, which is not the base change. So suppose me that I have a five minutes left. And so which is not the base change of a sub variety of X so it's not already defined over K. And then this V will contain at most finitely many optimal sub varieties of defect at most so this is the ZP XL MD statement, but only for sub varieties that are not already defined over the smaller field. And then we can get away with with a bit weaker hypothesis. So to state it because it's too technical but actually we don't need to know it for every X prime, but somehow only for those X prime that arise if we start with X and we apply axiom a five, and maybe apply it again and again. And in each step we somehow get more distinguished varieties turning up. And we only need to know it for those that arise in this process so in the case of a billion varieties we would for example only need to know it for M all quotients of the ability and variety X, which which is of course much less restrictive than needing to know it for every variety. Okay. Okay so so that's a fairly abstract so in the last four minutes I want to speak about some unconditional applications of this. So so this is a statement of the form something implies something else and I want to give some examples where we know the first something. And remind you this calligraphic a to is the modular space of principally polarized abelian surfaces over Q bar. And this is a connected she more a variety of dimension three for which the under art conjecture holds, which is all we need to know to be able to apply our theorem. And also calligraphic E as I said is the Legendre family of elliptic curves over Q bar, and it to the G denotes the the g fold fibered power of the Legendre family. And this is a is the connected makes two more variety of cougar type of dimension g plus one. There is again a scheme of a theorem so so X is a distinguished variety over Q bar C is a curve inside X defined over K. And satisfying that the special closure is equal to X K and the hypothesis hype see. So the sigma of points on the curve whose special closure has dimension, most the dimension of X minus two is finite so so the same as I had in the beginning. And now again a table will appear and with some instances where we can prove this. So the the first instance is in in a two X is a two. And then the hypothesis is that the curve is not already defined over Q bar so the curve should not be the base change of a curve over Q bar. So in this case we we apply the the second part of our theorem where we only need the weaker hypothesis, and here that the Q bar case is actually still open, although crystal and and Martin or showed some special cases. And then if we are in a in a hybrid power of the Legendre family we need no additional hypothesis on the curve. In this case that the Q bar case and follows from combining results of all these people mentioned here. And then we can apply our theorem to deduce the same over any algebraically closed field of characteristics zero. And the third instance would be, if we're in a semi a billion variety G over Q bar, and where the Q bar cases is due to Barrow era Q and Schmidt in in work in progress. And just to give a concrete example of our result in in a two. So I let h t denote the hyperlip the curve of genius to defined by this equation why squared equals x x minus one x minus theta one t up to x minus theta three T for some polynomials, he taught I with complex coefficients. And they T be it's Jacobian and I suppose that the generic endomorphism ring of this Jacobian is said, and that this defines a curve in in a to that cannot be defined over Q bar. And in this case what the theorem says is that there are most finitely many specializations at zero in C of T, such that one of these three possibilities holds. So J T zero is simple and its endomorphism ring is a Z module of rank for or J T zero is isogenous to a square of an elliptic curve or J T zero is isogenous to a product of an elliptic curve and the CM elliptic curve. So this is just spelled out what and what silver pink for a curve in a two means. And with this, I'd like to end my talk and thank you all for your attention.


Welcome back everyone! This is CoasterDaddy with a new video, and today I'm going to be talking about Cedar Point. On December 11th, Cedar Point made several announcements for the 2020 season, and in this video I'm going to discuss my personal thoughts on these additions. 2020 is the 150th anniversary for Cedar Point, which is a huge deal, seeing as it is one of the oldest operating amusement parks in the US. Seeing as Cedar Point is known as the roller coaster capital of the world, most people initially thought, including myself, that 2020 was going to see a big new coaster added to the park. As time went on, however, it became more apparent that this would not be the case. I bring this up because I know that there are going to be many people out there that are disappointed about these new additions. I'm not going to tell anyone that you can't be disappointed, but I want to explain why I think these additions will be fantastic for the park as a whole, and a step in the right direction. I think 2021 will be Cedar Point's year for a new coaster, if not 2021, then 2022 at the latest, but Steel Vengeance just opened in 2018 after a couple other huge coaster investments in the few years prior as well. So I'm not complaining about not getting a new coaster in 2020. Getting on to 2020, I'm going to start by talking about Snake River Expedition, the big new ride for the year. Snake River Expedition is essentially going to be a replacement for the old paddle wheel excursions ride, and this is something that I got to experience many times. I always loved paddle wheel excursions, and ever since it's left the park, I've always said that something like that should come back, and a lot of other people apparently did as well. I'm actually really excited about this. It's interesting they use the Snake River name, I think, that maybe could spell out a certain future for Snake River Falls. Honestly, I thought that was a ride that was probably going to be on the chopping block in the near future anyway, and the fact that they're using that name for this ride makes me wonder even more, but getting back to this new ride itself. As far as we know, this is going to follow the same course as paddle wheel excursions. I'm not exactly sure how they're going to do that, if that really is the case, because they have a bridge to get over to Forbidden Frontier now, and that bridge seems really solid, like they're not going to like move that or anything. So I'm not sure exactly how it's going to pan out, but this is actually going to feature animatronics, as paddle wheel excursions did. It's going to feature actual boats that will have to be driven around. They are actual boats that don't have a track, and also what I think is really cool about this is they're going to have live actors interacting with guests on this ride. So that's really cool that they're introducing that sort of live theater element, and I think Cedar Point is trying to move more towards a theme park type direction. Not a full-fledged theme park, obviously, but they're starting to incorporate more of those elements, and I think they're doing a great job with it, so I can't wait to see what this brings. The next addition I want to talk about for 2020 is the Celebrate 150 Spectacular Parade. This is described as a multi-sensory nighttime parade featuring a dozen illuminating floats that pay tribute to iconic moments in park history, and apparently it's going to feature over 100 performers from sailors and acrobatic beach bathers to dancing hotel associates, and they'll interact with guests along the parade route dancing and moving to an original sound score. This sounds pretty cool. It's going to run from June 12th through August 16th. This is something I'm definitely really curious to check out. Unless it's something really spectacular, as the name would suggest, if it really is that spectacular, maybe I'll watch it every now and then. I don't anticipate wanting to watch this all the time. I'll probably watch it once, but either way I think this looks like a really cool addition for the park and a great way to pay homage to the past, and I really can't wait to see what they do with it, because I think they can really do some spectacular things here. Not much to add to that. Moving on to the next thing. Oh, one interesting thing about the concept art provided for this parade. There is a car for Gemini featured on one of the floats here, along with some things from what appear to be other defunctorized at the park. So just going to leave that there. Apparently many years back, Cedar Point had these fruit-shaped juice bottles. They are bringing that back. It's going to be called the CP Juice Company. It says it's going to feature classic fruit-shaped orange, grape, lemon, and apple juice bottles. And it's going to be located next to Scrambler. And according to the press release, the new take of these drink vessels will include a slushy type drink with choices of orange, grape, lemon, and apple. And they're also going to serve smoothies as well. Several different flavors of smoothies like strawberry, banana, pineapple, kiwi, strawberry. All kinds of stuff there. This personally isn't something I'm super excited about. I'll probably try it out just to see how it is. But, you know, that's kind of cool. They're bringing it back. I have heard from at least one person that the juice they used to have actually wasn't that great. I have no idea. I'm too young to remember this. So if you've tried this juice before, let me know how it was. I would like to know. It looks like Cedar Point is trying to make some moves forward in the food department. In 2019, we received two new restaurants at Cedar Point. Hugo's Italian Kitchen, where the Market Buffet used to be by Raptor in the front. And then the all-new Backbeat Queue, which is where Witch's Wheel used to be located. And for 2020, we are getting a rebuild of the Corral. They're rebuilding it from the ground up.  The concept art provided for this looks absolutely stunning. I mean, this really looks great. I'm going to talk more about these additions to the main midway after I talk about the next thing, which is French Quarter Confections. French Quarter Confections is going to be located at the very front of the park after you go through the main entrance. It's a confectionery. It's going to have powdered sugar, fudge, cotton candy, waffles, funnel cakes, and the like. The art for this too just looks absolutely stunning. I mean, I can't believe how great these new places look. I'm curious to see how it actually pans out and how good they are. I have been thinking for quite some time that the main midway at Cedar Point really needs a good overhaul. To me, it just looked kind of out of date and not up to par with the rest of the park that has been overhauled and updated over the years. The main midway has just kind of been sitting there, left mostly unchanged. And it looks like with these new additions on the main midway, they're looking to make a step in that direction to improving the atmosphere in the front of the park. And I'm really looking forward to it. I think these look great. I'm really excited to see how these new places are because they just look absolutely fantastic. I think they're really going to help to change up the main midway and make it feel more modern. I think they're going to be doing a lot with the main midway over the next couple of years. I wouldn't be surprised and I'm all for it. They're also going to be adding a Mack Shack. The new Mack Shack is going to be located near Toff's Ice Cream Parlor, and it will allow guests to craft an ultimate Mac and Cheese Bowl. These are macaroni noodles tossed into a cheese block, and the noodles will melt the cheese around them. So it sounds very artisanal and fancy and all that. Honestly, it sounds freaking amazing. I can't wait to try this. I love food. It sounds absolutely delicious. Maybe it's as good as it sounds. Maybe not.  We got to wait until 2020 to see how good all this stuff actually is. But to me, it sounds like a good addition to the food lineup at Cedar Point. One of the most exciting things for 2020 in my opinion, and this is something I've been excited for for a while, ever since they said they were going to do this, is the revamping of the Town Hall Museum. Apparently it's going to feature an interactive timeline and it's going to span across Cedar Point's history. There are going to be displays of Cedar Point icons and rotating artifacts and displays, ride logo development and blueprints, concept renderings, models, photos, and a whole lot more. I'm really looking forward to this. The Town Hall Museum really hasn't been majorly updated in years. And although it was nice to kind of go in there and walk around, especially on a hot day, the redevelopment of the Town Hall Museum is going to solely focus on Cedar Point history, which I think is phenomenal, because before it just kind of featured all kinds of different artifacts from the history of America and there were things from Cedar Point thrown in there, of course. There was quite a few Cedar Point things. But now it's going to solely focus on Cedar Point and it sounds like it's going to be much more interactive, more up to date, so it's going to include some more recent history as well as really far back into Cedar Point history, some things that we've never really seen before, and I'm really stoked to see what they have in store. There was also a button trading announced. I don't know all the details about this. To be honest, I haven't tried to find out much about it because it just doesn't sound like something I'm going to be too into. But every day of the season, guests apparently can trade buttons with each other or with different park associates. And limited edition buttons will be available in circulation, buttons that are not available for purchase. So that's kind of cool. You can kind of get some rare things there. On certain days they're going to have different buttons that are very limited, so you'll want to get there on a certain day to get them. I think they're going to pull in a lot of people on certain days that way. Like I said, not really something I'm into, but if you're into collecting buttons and stuff like that, this sounds pretty cool actually. The park is introducing a courtesy core, which are park information agents who interact with guests and offer information while standing on custom raised platforms. So basically a fancy way of saying some kiosks. And apparently this was actually something that was featured years ago at Cedar Point. And this actually sounds like a pretty good idea, in my opinion, like as a guest service thing. One thing that sucks about like the guest services at Cedar Point is there's the main one up front. There's like another small area that a lot of people probably don't know about back by the Magnum. And I don't know if they can do everything at that one as well. Basically before, you would have to walk across the whole park to get to guest services, which is really irritating. I think having these sort of kiosks sprinkled throughout the park is a really good idea overall. The last thing I want to address in my video here is the ticket of a lifetime. This is something else that is a really cool touch, I think. Beginning in February, you're going to be able to enter to win a ticket of a lifetime, which is a ticket that gives you free admission to Cedar Point starting with a 150th anniversary season and last the rest of your life. According to Cedar Point, 150 winners will be chosen throughout the year and each winner will receive a total of four tickets of a lifetime to share with family and friends. Guests can enter to win online, outside the park, and at Cedar Point. This ticket of a lifetime includes admission to Cedar Point, Cedar Point Shores Water Park, free parking, and more. Promotion is not open to residents of New York and Florida. Sorry guys. Anyway, I think this ticket of a lifetime thing is really cool. Like it says, 150 people will be selected apparently and of all of those 150 people, each one of those can pick up to three other people to have a ticket of a lifetime as well. So imagine how awesome that would be. I mean, that would be great. Of course, this is just like a gold pass basically, I guess. It's just a ticket to the Cedar Point property so it's not a platinum pass or anything like that. But I think a lot of people would love to have this. I think it's a great thing that they're doing. I know it's not, you know, a huge addition or anything like that, but still it's cool to see stuff like this. Overall, like I said, I'm really excited about the new additions for 2020. When we heard that they were going to make an announcement on December 11th, I honestly was not expecting a whole lot. We knew that they weren't going to be announcing a new coaster for 2020. That was obvious. I think maybe they could have went a little more all out for the 150th in terms of attractions. I do wish maybe there was like another ride thrown in there or something. Something kind of small, like a good flat ride or something like that. But even still, I think Snake River Expedition looks great. I think they're going to go all out with it. And I really like the smaller additions they're adding as well. The confectionary, the rebuild of the corral, the Mack Bowl place, the parade looks like it's going to be a lot of fun. So overall, I think the 150th season is going to be great for Cedar Point. And of course, we're all going to be looking out all next year for construction and things like that. I think we're going to start seeing some things being moved around and whatnot and some things starting to go on at the park. I wouldn't be too surprised. So we'll be keeping an eye out for that. Let me know in the comments what you guys think about these new additions. I would love to hear your thoughts. Are you disappointed? Do you wish they would have gotten a huge coaster this year? Of course, if you enjoyed this video, be sure to like it. Like my page, CoasterDaddy, on Facebook, and follow me at CoasterDaddyOfficial on Instagram. Thank you all so much for watching. This is CoasterDaddy. Bye.


If you know me, you know, I like to laugh, I like just being joyful, so apokwe happiness, she already had my heart already from the get-go, just from the title of the song. So we're gonna find about her, who she is, where she's been, what she's doing and what she's planning to do and how we can subscribe and do all those wonderful things on her platforms. I'm not getting my friend, but it's almost Friday, I'm just throwing it out there to the universe. At 254 Facebook, Y254 channel on Twitter, hashtag is Thursday Fives. Kama umat fadatwe wikata jweinsai. Oh my gosh, we've had such a full morning to make wana ento ingina beautiful, na grace maingi, alafu aka kuhav na interesting conversation with an organization called LIFT. We had another interview on entertainment and this is our last interview on that particular segment and of the entire show. Mina skia fiti. I hope to mksadiaku changamka this particular morning as we do each and every other morning. Hashtag Thursday Fives, na itroval by the way, or at Kala Mival. Allow me to allow my guest to introduce herself. Hi. Nkwansha kuchotavu na kafein, thank you. Aki batu na kafein, thank you. Thank you so much. From the nails to the shoe game, like, hey, says your papa. And please introduce yourself to the people. I appreciate it. My name is Jos Kyro. I'm your authentic shuwa, energy and press. There is no music from Jos Kyro that you will not dance to. Yeah, I'm a performing artist, a recording artist and I'm also a director in Maiza entertainment. Yes, born and raised in Kenya. Two, five, four. Hey. That is not very easy being in front of the camera and also working behind the scenes. How do you manage to be a director and a performer? Both experiences are very good because what's life without adventure? You get to experience the behind the scene and seeing people bring out their talents and also being in front of the camera and doing your thing. Yes, I enjoy both experiences. You look like you express yourself very well. You have no problem expressing yourself. No. See, I see by the... just standing in front of the camera and just talking. It's not that it's not as easy as it looks. Trust. So I see people like you doing it. I learn to appreciate. Okay, tell us what you have been doing before this video. Okay, before this video, I've been recording audios. And sometimes you want to listen to the audio that you can start with, introduce yourself to the world with. So I think happiness was good timing because most people don't take happiness seriously by the way. You will have a big goal. You shine a bit towards that goal but you will not even celebrate this small part. It's true. Yes. So for me, happiness is most important. Yes. Why is this? I don't think I've ever heard an artist describe their song like that because it's true. Yes. Nata kaii, alafun kusia fi kapa, nata kaii wengine kujo, misahao kwa give thanks for wengini kwa posaii. Yes. I literally, wow, okay. So let me put it like this. Not every recording artist can perform. Yes. So you must feel some kind of energy when you're performing versus when you're recording. What's the difference if someone wants to get into music and is trying to understand where they fit in? Okay, both experiences are good but once you're recording, there's no audience.  But live performance is different or stage performance is different because you have audience and they will react to how you give them your music. So the reason I do energy music is because I need to entertain. Yes. It is important that people feel... Entertain. Yes. Bible. It is short, it is the same Bible. So you have performed in a couple of universities. How has that been? It's a good experience. It's a good balance to do videos with this kind of music and then to do live performance. It's a good balance for someone. It gives you the adventure. It gives you the experience. By the time you get to five, six songs there is no stage you cannot stand and perform. Hey. Your energy must be up here especially to go to places like universities I love one of them for me. Yes, we do campus tours mostly but when they close we try to keep recording but when they are in school we try to find space to entertain. Nako ka audience nikafiti kus aondiwa na tokaku ko happiness So the ones who want to do things they are not really thinking about job amas tu juhi kazi stressangapi was that intentional? It's intentional. Okay. The music is meant for the young mostly. So it's important that they get entertained and I also want to make it clear that when I was doing that performing stage performing I hadn't even released this song and you can see they were enjoying it. I have done the video. I immediately assumed that you did the video first and then you did the... It was actually so much inspiring to see them cheer me up and I don't even have a video so they would ask me where do we get your music from. I couldn't take more than three, four questions and I was like, let me go for it. Wow. I see you had it with dancers at the back. That's going with backup is important. It's going alone. Me, you know performing pier like I said, not even who can record can perform and I've seen it for myself. But when you add a bit of sauce manna sometimes no na DJ kikuja na emcee because it adds some value. Not that the DJ is not good not that she can't do it on her own but it adds a bit of a kick. We have many dancers we have many dancers in the vibe you're just creating that ambience for us. I don't want to be a hashtag flani but black culture if I'm not wrong what does that mean? Does that have a significance to you? Some of my friends who are also artists they have that black child culture thing and so we support each other so you will call me for a show I'll call you for my show that's how it goes. We support each other we are a team we are a team we are a team Some of them are really supportive We support each other who and where and how I want to but I know how to mind my own but it's a wonderful thing wonderful thing to see So how did you put this video together where did the vision come from because I'm sure it took you How did you end up here It looks wonderful by the way Thank you Those things that we know but mean something to someone I might just come and help a bit and someone else will celebrate it but I really ignore because I don't know how far I've gone to help this person if you get inspired you can celebrate that person also if you feel you've achieved something you can use some few friends and celebrities because what motivates you to become big like this level it is going steps by steps and these steps are the ones I'm saying why not be joyful about it So the setting is you and a couple of people living it up outing and it's just you and your people your close people and you're just having a good time that's what I'm reading from this video Alright You've told me you've been doing music before introducing yourself now with this video Is it true that for an artist and a producer to actually make magic I think it's magic Kuna vengetu lazmam klik you might go to another producer who is not aty bad it's just that they don't really understand you or maybe you don't really understand them So is it the klik the understanding important is that true? The chemistry must be there because how the person correct you if you didn't do the right voice if they don't connect with you you can imagine working with a producer who is just there recording what you just give they will not correct you they will not tell you raise that voice Chemistry is important and also it's fun to work with someone you have chemistry with It takes the work out of work makes it easy Yes So there's a lot more than just being we live in a generation where none of you I assume this is your first ever audio your first ever video usha below mga kwa tv next in the photoshoot next thing to turn up kwa nani akina diamond and whoever it is kwa kwa kwa kwa kwa kwa kwa kwa kwa kwa I want you to help future artists because there's always someone coming up who wants to do what you're doing that it's not an overnight thing just like anything else we have to respect the process how can you speak with someone like that First of all most artists they get into the public if you're doing music and you're getting small or big pay try to invest in your line of music and then after some time the contract is over can you be able to move to the next step as an artist when you are in there receiving the money have some financial management guidance because these people they receive money and the next thing you hear someone is not able to go to the next step because they mismanaged themselves so please also take care because a future is also waiting for you yes it's your wise because there's also that again if you just didn't catch the previous interview I was bringing the fact that May is mental health awareness so at a 2 tuke and 2 apofinances sometimes when you see people on TV when you see them looking a certain way you know what you're doing with yourself but that might lead someone to think maybe either you are in a place you're not to say what I'm trying to phrase it accordingly doe kuji kupe presha kamam tu none of this is just you as an artist but you as a person could be very different maybe at a upendi ku you know you're not very social because you can be social as a brand but in yourself you'd like to keep it to yourself or something like that so doe ever have presha to balance you as a person and you as the brand and if you do how do you get through it okay personally just kairu and the brains behind just kairu they're very supportive of me so if I'm supposed to perform somewhere the people that are behind me my managers, my peers so closely and we sit down in a meeting before we go somewhere it's easy for me when I have a supportive team I think I work easily because the people behind me are very supportive is that something you worked on before introducing yourself as an artist did you make sure? it's taken time because I started writing music when I was when we the Kenya got the COVID period that COVID period was the one that inspired me because most of us were forced to stay home it was over 8 months so 8 months sitting at home you will up your creativity game yeah I like that it had that effect on you for others it kind of led to some type of downhill spiral or some type of depression I'm glad it works the opposite for you okay is it hard being female in this industry? it's not hard it depends on yourself your main goal and it would be sad if your happiness and success are supposed to rely on how people will think about you or how people will react towards you as a lady it's not easy to be a lady in the entertainment industry but I think if you are set your goal is to perform and to entertain and if you have a talent you go for it then I don't think what people say or what people think of you should affect you yeah it feels a bit of the same thing waspende kwenkiliae with my personal thing but if I can relate because it takes a lot of discipline there's a time all media personalities who are female we know what you're doing behind this we don't all have to be doing the same thing friendly it just takes discipline and focus if you know what you want to do and you know how you want to do it he doesn't need to do he's only zeyno sasa he's only avas I really appreciate you coming how can we find you on social media you'll find me on social media as Jos JOS K, Y, R or Cairo on all platforms including YouTube and also you can stream my music in all other platforms I don't know what to say any last remarks and we're doing the whole subscribe and notification thing today imagine like 50 of us just decide right now and then another 50 will watch YouTube like another 100 will come to the streets and perform and then another 50 will watch and it's free subscribe means for free hashtag is there's the vibes any last remarks first of all I think it's important as we view the videos on YouTube for all the artists or the comedians the people we want to support as Kenyan and you view and then you subscribe because subscribing is free like she said it's free and also I'd like to say hi to my family and my team from the managers from the assistant you rock and you support me and I appreciate yeah me kwa patiangu nimeshama liza kusubscribe that is JOSKYRO K Y R O JOSKYRO na urodi ukshato hengine because clearly uko kari buku to sumo this industry is not ready for you is it I'm working on a project I hope by June beginning of June like 7 I'll have another video on all right all the best JOSKYRO thank you for coming and I think we have to call it a day or rather a morning it has no other problem it's just that for some reason it has to end at whitefifon facebook white254channel on twitter white254 underscore channel on the gram hashtag is Thursday Vibes keshondokila kitu keshondokila kitu keshondokila kitu keshondokila kitu keshondokila bye bye