Hi guys, this is Jason here from the Nathaniel School of Music and in this tutorial, let's learn how to achieve piano hand independence, a very very important thing for all piano players who play any genre. In this tutorial, I'm going to look at contemporary music or more importantly dance music or pop music or EDM music or music which just makes people dance. So what we are trying to achieve is a solid rhythm in one hand while just like what a drummer does, they will always have a pulse or they will have a very very important steady meter. They will be showing off the counting or the counting pattern of the song and the audience also will tend to move their head in the same exact way. For example, if we say 1, 2, 3, 4, 1, 2, that's exactly how the audience's head is moving and if they are not able to do that, how are they going to move to the next level of enjoyment which is dancing. For this lesson, I've taken a very very popular chord progression, you'll find it in that Daft Punk song. So you go, you could even play twice if you'd like, okay, so you could claim that this came from the B Dorian scale or the parent A major scale, right. D minor being the 2 chord of the A major scale, D major being the 4 chord of the A major scale, F sharp minor being the 6 minor of the A major scale and E major being the 5 major of the A major scale. So get used to that chord progression, also muscle in your inversions, something like that depends on how you want to voice it. Just get used to that and in the left hand at the bare minimum be able to play your roots. So the first way I would try to work on independence before we get into all the disco and the dance rhythms is just try and play 4 chords in the right hand or 4 hits of each chord in the right hand with a single held bass note in your left hand. So that means, it's also what I call like a 1 is to 4 ratio. So hold the left hand for 1 and last it for 4, right hand plays 4 times for every one left hand hit, right try to sing along. You'll find that when you sing there may be a little bit of glitch, you may not be able to actually hit it 4 times. So I would encourage you to sing because you're going to work with either people who sing in a band ensemble or you may yourself want to sing and play the piano together. So it's intended for that requirement. So independence is not only hand independence, it's also piano versus voice independence. You should sing and play. You've seen all the great songwriters who play piano, Elton John, Nora Jones, Billy Joel who can sing damn well and play the piano also incredibly well. So you go first work on this really hard 1 is to 4, right. Sing something, anything. You can even sing that Daft Punk song which I may not be allowed to do in this lesson, they may take it down. But you know which song I'm talking about. Just have some fun with the chords playing that 1 is to 4 ratio as I'm saying, right. So now I'm going to introduce you to a pattern which you may have already heard in a lot of songs. I'll just play you the pattern first so you get acquainted one more time, right. So this pattern is a popular clave. In fact, I guess they call it the pop clave or I guess more conventionally or traditionally you can call this the bossa clave or the bossa nova clave. So the way I'm building this pattern or the way the pattern is already built is it's a bar of 4 and you can count it using 16th notes which divide the beat into 4 equal units.  That's what creates that energy and that excitement for people who dance, right. So you go, right.  Sounds quite catchy, right. So let's break it down. 1e and 2e and let's just get line 1. 1e and 2e and rather the first 2 beats 1e and 2e and 3. Stop. 1e and 2e and 3 and 4e and 1e and 2e and just get that first. 1e and 2e and 3 and 4e and then we proceed towards 1e and 2e and 3 and 4e. 1e and 2e and 3 and 4e. 1, 2, 3 and a 4 E and of the 3 and the E of the 4. So you go 1, 2, 3 and then you have to pretty much do this with all the other chords. 1, 2, 3 and a 4 E, 1, 2, 3 and a 4 E and a 1. And there is one thing you are probably observing my left hand. My left hand is not staying idle. For me to actually get this really, really groovy sounding piano pattern, you need to feel the pulse. And some people feel the pulse by moving their head. I would highly recommend that you start by moving your head to the pulse. Doing this may be a bit tough, what I did with my left hand because maybe you have not done it before. So start with the head. Actually I am doing head and my foot. You can see the foot in the video but my foot is also naturally going with the pulse. In some instances you may want to move your whole body with the pulse. Maybe with the left hand snapped now, this could be your next goal. 1, 2, 3, 4, 1. Well you could also try counting it but the practicality of the situation is if you get this going you can automatically place something on the piano. So you could start by just playing the roots of the chords which is B for B minor, D for D major, F sharp for F sharp minor and E for E major. So you go 1, 2, 3, 4, 1, 2, 3, 4. Let's just take one chord B minor. So now some of you may be facing a little bit of a hurdle, you know, trying to get both the hands together. So now what did we do first? We played the bossa clave in the right hand and we tried our best to feel the pulse with our body. Snapped, moved our head, moved our leg. Now work the other way. You've got the pulse here. Just one chord B and now try to voice out or try to sing or try to hum. Do something with your voice, singing the clave.  Here and there you lose your left hand. As I'm talking to you, I also realize that I need to practice this a little bit more. So you go... So you get something vocal and that vocal can help your right hand eventually. Change the chords. Right. So the first operation which you need to do on the piano is to play the clave in the right hand. The clave hits. This is the bossa or the pop clave and the pulse in the left hand playing the roots of the chords, which I've just demonstrated for a bit now. I like my octaves as well. You could bring in some octaves. A lot more thicker. So once you've got the pulse in your left hand, you could also look at a little bit of finger movement that'll also enhance your independence. So you go... I'm still on the pulse but I'm toggling my fingers. Sort of like a bass guitar. Root. Octave. Root. Octave. Root. Boom. Boom. Boom. Boom. Boom. Boom. Boom. Boom. Boom. Boom. Boom. E. Right. So now this is the next level of independence which will be a little trickier. So do it once you've got the pulse. And I'm also playing the last hit of the right hand longer. Sort of like a drummer embellishes with the high hats. You know, they'll open it, close it. So it's just trying to follow a rhythm instrument as best as we can. So left hand doing toggling pulse. What I... I just come up with that name for now. Root octave. Let's just do it with B minor. Now all the chords. B minor. D major. F sharp. E. E. Still on the pulse. This is just both together. Root and octave together. Now they toggle. Toggling. You can go maybe one more step further by playing a chord arpeggio. Very, very slow chord arpeggio or an arpeggio following the pulse. So you could just do one, two, three. So it gives you a lot of harmonic color in the bass end. So something like quite like that. Right. So another thing you could do with your left hand is actually, instead of playing a very close sounding muddy chord, you could play it in spread voicing where you take root five third up the octave. We call this as a tenth interval. Okay. So you can just create a pulse vibe here and our bossa clave pulse in the left hand, but with chord tones. So we've moved from just root and pinky and thumb playing together. Then we toggled it, root and octave and then we did the chord tones, closed voicings or spread voicings, which I quite like and so on and so forth. Right. So now with all of these versions, the pulse was played in our left hand. Why don't we flip this around? This is another nice thing with independence, especially when you're playing contemporary genres. One hand has done the pulse. Now the next hand is going to do the pulse and you may be guessing it. The left hand is now going to take up the role of the bossa clave. So what I'll start off with in the left hand would be like a root octave groove. So you need your root and octave. So you do one and one and two and three and four and one and four and one and two and three and four and right. And now you have to hold your ground in the right hand playing the pulse. Get that pump, pump, pump, pump, pump, pump, pump, pump, pump. Doesn't it feel like a drum groove? Kick drum, root, snare drum, thumb of the left hand. And what is your right hand doing? Something like a hi hat, you know. Right. So we've played the bossa clave in the left hand with a nice you know, root octave groove. Another thing you could do as always, you could take a chord as a very slow kind of arpeggio or play the arpeggio in this case over the bossa clave. Right. So now we did the clave in the left hand, the same clave but with chord tones. Earlier we did root and octave combo. You can also do the left hand with spread voicing chords which on its own just sounds good, isn't it? So that's your clave in the left hand, bossa clave in the left hand with the pulse in the right hand. So let's just recap what all we've done so far guys. We've taken a chord progression B minor, D major, F sharp minor and E major, piece them together and give gives you that daft punk vibe, if you will. Then we looked at playing all of this over a very contemporary, super important to learn rhythm pattern which is the bossa clave used by Cole play, used by everyone. Any artist you'll find will have that. And as I'm saying it always get the pulse while you perform it and we've looked at various ways to kind of play the pulse in one hand and play the clave in the other hand. We started by playing the clave in the right hand. When we played the clave in the right hand, we were just holding the chord tones playing the clave and the left hand did its thing. It started with the pulse, then it toggled with the pulse, then it did a slow arpeggio over the pulse. And then what happened? We flipped the two hands around. The left hand took up the role of the bossa clave by doing root and octave grooves. Then we did triad grooves, spread triad grooves and the right hand held its ground, doing what? Just the chord pulse. Right guys, thanks a ton for watching this lesson. As always, this is Jason here from the Nathaniel School of Music. Do stay tuned to our channel for lots more. You may want to subscribe to our channel if you haven't already. Leave us a comment if you'd like us to teach you something else. Support us on all of our channels, especially Patreon, where you can get all of my handwritten notes for these exercises. Do that if you'd like and keep rocking. Cheers.


Myself Supriya Apasnoor working as an assistant professor in civil department from Olcane Institute of Technology, Sulapur. Today's class we are going to discuss on building permission. These are the learning outcomes. At the end of this session the learner will be able to impart the knowledge of the building permission and its procedure. These are the documents which are needed for the building permission. First is the application form or the notice. Second the information in the notice. So whatever the information is accompanied in the notice, as per that the attachments has to be done. In that you have the ownership, the title and the area. Second is the plans to be submitted with the application. In this it consists of the key plans, the layout plans and the measurement plans. Next you have the fees and the charges. In that the development charges and the labour charges are come into consideration. The no objection certificate from many department like the railways, smoke nuisance or the defense department etc. Supervision has to be considered which supervision of the engineers or the architect. They will be filling the form in the appendix B1. Next is the drawing sheets and the colouring of the plants. The drawing sheets or the colouring that means the number of the copy of the drawings has to be submitted. At least four copies of the drawings has to be submitted. The signing of the plan and finally you have the qualification and the competency of the architect and the engineer. So this is the building permission and the procedure. So first of all you have to register an architect or an applicant with an application form. It comes into the, it fills the information given in the appendix form A1. The form is needed for the construction purpose whether you want to develop any construction or redevelopment any construction or if you want to carry out any alterations or demolishing of the structure. So this form is necessary to be filled through an architect or an engineer or a supervisor. So it should be submitted to an licensed authority as it is in the prescribed form. And next you have to submit the supporting documents as per the checklist that is defined in the checklist which declaration for the relaxation and the required analysis. So the defined checklist it consists of some of the documents which are mandatory and optional. So the in the mandatory documents you have the tax receipt or if you have any Sathbara extract and also the measurement plan it should be certified one. So these are the mandatory documents. So those documents which are mandatory has to be attached along with the form. So after that your application will be registered if the documents are as per the list. So after the application registration you have the payment. So this is the payment before scrutiny. Scrutiny is nothing but the processing fees. So here the scrutiny level it is the proposal of this. You can see here that it is divided into two levels. So one level of scrutiny is carried out by the assistant town planner and the second the scrutiny is done by the chief officer of the municipal council. So here the assistant town planner it verifies the documents which were uploaded. And next after the verification is successful. So he has to fix the schedule of the site visit date. So he himself goes to the site here you can see that the enter the site visit reports and receive the NOC's from the department. So the engineer or the assistant town planner himself goes to the site and he verifies the drawings over there and he fills in the questionnaire is drafted for the site of the building permission. So whatever the drawings actually he will make a consolidated scrutiny as it is based on the comparison of the layout drawings and the proposal details. So after this he will generate the report, the generation of the report based on the town planner client and the application dates and the site visit reports. So as per that the report will be generated and after the verification after the inspection is over the report hire will be generated. And if the proposal is up to date or after the approval of the site. So the next you have the submission of the proposal. Proposal goes to the CEO that is the chief officer for the rejection or the approval. So here you can see that the approval from this after submission it is the work out is the work is carried forward to the CEO. So the CEO he verifies the documents again whatever the report or whatever the town planner come was reported he just cross checks it once again whether they are up to the mark or not means the report the verification of the reports is done and whatever the remarks were there of the assistant town planner he verifies against. And if the after the re-verification you see that the CEO will check whether the relaxation is a any relaxation or a concession required or whether it a whether any whether to allow any relaxation or the concession for the proposal. So as per that this is carried for further if the relaxation is yes. So here you can see that the front margin and the parking violence it goes to that and then if the relaxation is not allowed you go for he accepts the proposal. So from that after accepting the proposal of the approved plan here you can see that the calculations of the development and the premium charges are there. So the applicant has to be has to pay the development charges development charges and the labor charges before the approval of the plan that is next you have after that you have this hand notification for the payment of the charges. So after the post payment here comes the notification of that. So the client has to go further for the online payment online payment or the RTGS. So after doing the online payment the verification of the payment is again done he verifies the payment of it. And then after the verification of the payment is done successfully the CEO approves the plan and he sign and he digitally sign the sign the building permission certificate. So after the once the CEO signs the application once the CEO signs the building permission certificate the applicant can now finally print the building permission certificate here the which is contained in the appendix D1. So the overall procedure of the building permission procedure right from the application to the certificate to the approval of the plan it takes it takes around 30 days for this procedure. So here you can pause the video for 2 second for 2 minutes. So can you give the answer for this what is scrutiny? So this is the answer for that scrutiny is nothing but the questions are raised over there is the location as per the layout of the town and the country planning department whether it is yes or no and if any remarks are there you have to specify over here and even the verification of the boundaries as per the plan and as on the ground position if tally or not tally and remarks if any you can write over here and the ownership of the approach road and whether you have any trees on the side or next is there are the trees going to be demolished when the construction is going on or is there any proper ventilation or the sanitation on the is there any proper sanitation on the side is the site within the vicinity of the structure identified by the archaeological department. So these are the scrutiny questions asked over there. So here you have you can pause the video for 2 seconds. So just this is a here you can it is a objective. So here the come here comes the question that in the building permission procedure was the documents are verified from the assistant town planner next is you have below the options as first is the application registration second is the schedule of the site visit date third is the online payment and fourth is the none of the above I think you have got the right answer for this the schedule of the site visit date. So you have seen in the last building permission procedure slide that after the documents are verified from the assistant town planner so he himself decides the site visit date. So this is what the answer is. So these are the references thank you.


Thank you very much, and thank you also to the organizer for giving me this opportunity. So, yeah, in my tato you see three words, but in fact what I really like is the resurgence, the middle one. And what I would like to understand and also try to explain today is a kind of idea how resurgence and how much resurgence knows about modularity. And, yeah, so in particular what I was working on, also discussing with Maxime and more recently with Claudia Arella, is studying resurgence of divergent series, which arise from some Q-series, and then trying to understand if the resummation is in a sense related to quantum modularity. And in fact more generally what I would like, what I will propose in my talk today is an attempt to give a general picture where you can expect quantum modularity, so a general resurgence structure from which you maybe can always find quantum modularity. But actually in my main example of this talk we would rather go in the opposite direction. So in a sense the example I will consider, we already know that there is a quantum modular form. And so the question will be more like can this modularity property tell me something about the resurgence structure associated to a certain Q-series. But before going to the example, I would like to start like briefly calling some idea related to resurgence and Borella plus some mobility. So as we have already seen in these workshops several times, very often we deal with divergent series. And in fact what we would like to do is to extract some like analytic function out to something that behaves not really nicely. So in particular a series was typically coefficient growth factorally fast.  And this typically give you a germ of analytic function in this variable zeta. So here you are in what is called the Borell plane, so the zeta plane. You have a finite series of convergence and you may have these cross are the singularity. And so what you start to do is now trying to do the analytic continuation of this function. And the hope is to find like a region when you can actually take this ray that goes through infinity in some direction and where the function is actually analytically but not only that it also must have some nice decay condition. Because if that happen you are allowed to take this Laplace transform and as a result you will get an analytic function, analytic in some half plane related to the direction of theta. And what is the relation between the analytic function you get and the original divergent series is through what is called Gevrea Synthotic. And then I mean this will be an analytic function in this sector but when you start varying this angle actually you will understand how to also extend this analytic function. And every time you will cross one of these singularity, typically this will jump and you will see the stokes phenomena we have also discussed in this talk. But in fact so this is called the like paradigm of Borella plus some ability. But sometimes what I think is interesting to consider is also example in which you actually have an analytic object at the beginning.  And it may happen that the asymptotic is a divergent series. This is for instance the example of the gamma function that Maxime presented or more general for exponentially integral this is what happened. And so the idea is okay now I got something divergent. I can try to apply again my paradigm of Borella plus some ability. But so I will get another analytic object somewhere and are these two things equal or somehow how do, how are they related in some way. And in fact what you know prior is just that they have the same asymptotic but this somehow is not enough. And we have a good result which is the vanilla theorem which actually tells us okay yes these are going to be the same if you have a good control on the asymptotic. But more generally what you should do is first kind of relax the definition of the Laplace transform you want to consider. And in fact in the example that we will see today this is not really enough. So in a sense if you start with, if you have at the beginning an object which is quite nice maybe not exactly analytic but in a sense more regular and you start computing asymptotic and doing this procedure you will not get back exactly the same object. You have to modify it in some way. And maybe I should also say that another example in which you can instead close the diagram are in a sense exponentially integral but also solution of linear ODE. But okay so this is kind of the true paradigm that we may consider and where does the resurgence come from? Precisely in a way you can relax this definition of the Laplace transform. So here is like the definition of resurgence function as David also explained us today. So I'm not going to read it all and explain what I really need is if you want the first line so a function now I'm in the Boral plane it's resurgent if it can be endlessly analytically continued. And in fact dealing with the fact that you want to end this analytic you can end this analytic function. In a sense it tells you that you can allow more general set of singularity so in a sense the set of singularity can also be dense but because as David was explaining yesterday in fact they live on different sheet of your human surface. And moreover what is important to me is that the Boral plane in a sense knows all the information meaning that if your goal is always to find some analytic object behind your divergent series once you apply the Boral transform if you get something which is resurgent it means that you can study the Boral plane with the tool developed by a call and this already contains all the information so it will tell you how your analytic function will jump and it will be defined on the original H bar plane and this is how these alien calculus and also media Laplace resummation or all this version in a sense of Laplace transform are more powerful and very well defined to work when you have a resurgent function. So my point is really if you have a resurgent function essentially really what you have it's a great knowledge of the Boral plane and all this machinery helps you somehow to avoid all the conditions that you need in order to take the usual Laplace transform you can actually deal with much more general object. If you hide the nozzle of Laplace transform, what is HET? HET is the Boral transform Ah yes sorry, before it was G, thanks. Okay, so let me give again an example of what is called a simple resurgent function again Maxime already gave this and it appears several times this week so if you consider a singular point of your initial germ G this has a simple resurgent structure if it has the following behaviour so in particular you may have a simple pole and then you have a log, time and other germs and maybe a plus a monomorphic function and this structure is quite interesting because in fact the idea is at the beginning you have your finite rays of convergence you find a singularity if at the singularity your germs behave like that now here you can start playing with this other object with this other germ and so you can start to study the singularity of this phi HET and if you find another point this will give access to a different region of the Boral plane and you can continue studying all these germs and in fact if your function is resurgent in a sense it's like that all these germs know each other so for instance if you only have a finite number of singularity as in the case of ordinary differential equation you can consider for example the IRI equation and you will have only two of these germs and if you once you have found the first one you expand, you find the other one and that's it and if you consider the second one and you expand again you will get back the original one so there is really a very nice structure but in fact what is important here is that all the ingredients you need to reconstruct your analytic object are already there and in particular are this constant CNS as well as this germ and why I say that? because if you now want to go back to the original H bar plane you are going to take some Laplace transform and in a sense these will give you just a constant but here you will see that this log will give you this constant as well as this germ so this is like the information that also Marcos Marino was considering speaking about the resurgent structure so since this is the important information that we need let me just recall the definition that Marcos was saying so a resurgent structure for me will be a collection of singularity, this set omega a collection of germs and the Stokes constant and for Marcos the only difference was that he puts together like the collection of germs with the singularity so in a sense it's just one function and I'd like to keep them separate because in a sense I am kind of implicitly assuming some normalization condition so in particular I always want this to be integer and now I'm going to introduce a sort of proposal for a different type of resurgent structure what I will call a modular resurgent structure so essentially I specify the data of the resurgent structure in the following way so I would like to have a tower of singularity here you have an example, it's horizontal and not vertical but the point is that all these points like are separated by some integer m and you may have infinitely many all the germs are one so in a sense it's a quite simple resurgent structure I mean even simple than the one of before because either you have only log singularity or actually only simple pole and finally I would like to have that my Stokes constant gives me an L function when I write them in this way so I do not specify which type of L function I mean there are many, usually it's maybe directly L function RTL function I leave it on purpose a bit vague because we will see an example we can have both and so far let's leave it in this way why this is a nice definition is well because in fact you can construct an example in which this happened to be the case so in which you have this modular resurgent structure and here you have an example so for instance imagine that you consider an L function of the type you like and also you consider a set of points like a tower or okay as I was writing before and then you construct your divergent power series so BGV1 means that this coefficient have to grow factorally fast and you assume that the coefficient actually look like that so up to a constant you have a factorial growth and then you put this sum okay now the claim is that if you consider the Borel transform of this divergent series it has a modular resurgent structure and what does it mean? it means that the Stokes constant will be exactly this SK and the position of the singularity will be exactly this ROK so how do you check this? in this case it's really simple you consider the Borel transform meaning you divide it by this factorial and this gives you an N and you change the variable and then the only things you have to think a little bit about is you want to exchange these two summations so actually this is also an infinite summation in this case you can actually do because thanks to the Geveret property you know that this is going to be something convergent so if you permute the true sum then you will get the geometric in this case actually you will get a log up to some correction so you can recognize here exactly the same simple resurgent structure I was discussing before so you don't have any other function here so that's it in a sense you only have this log singularity you see that the position of the singularity is exactly the ROK because it's where this is as a singularity and the Stokes constant are precisely written in front of it up to some normalization this is a normal function it's just because I would get a zeta divided by ROK and so I just put maybe this is just a constant I think I think it's just a constant yes yes okay so this is an example actually you can do also something slightly different so in a sense you can replace this factorial with maybe a gamma shifted by some positive rational number so if you again you do the same game now you assume that your coefficient look like that ah yes I would say one means that the coefficient cn grows factorally fast so maybe a to the n n factorial for the n large and yeah okay so even if you consider something slightly different you will get again a modular resurgent structure and you do exactly the same computation the only difference here is that you don't have any log you actually have some square root or like different type of singularity and so you can still see that the singular points are ROK and about this constant here to see that they are exactly this as k you have to like compute the monodromy so you just do a loop around the singularity and in fact they will be up to some maybe different slightly different constant again multiple of sk so even in this case we can say that the stokes constant are always exactly the coefficient of this function so we have these two examples but why we should care about this modular resurgent structure so in fact they appear in this context but even more what I would like to prove and this is a sort of general claim is that if you consider a divergent power series with rational coefficient which is jevre1 and with borol transform admit here I am adding simple modular resurgent structure and by simple I mean that I have only simple pole or log singularity then taking some generalized Laplace transform so meaning that I take this integral but on purpose I do not specify the path here then it defines some quantum modular form so in particular if you take f tau to be this generalized Laplace transform but now where h bar becomes 2 pi i tau this is a quantum modular form meaning that if you define it for tau rational you have this type of transform so f of tau plus 1 goes in something like that this m should be related to the distance I have in my tower of singularity and then for some SL2Z transformation you would expect that if you take the difference of this and this other function what is here this h gamma tau which is usually called the co-cycle is going to be defined over r smooth but real analytic except a finite set of points typically the pre-image of infinity or maybe even you have to remove maybe even 0 so the idea is here again it's not really precise and in fact I should say that in the example of yesterday in William talk what he was actually he has a theorem in which this path here it's the one that give you the median Laplacere summation so it actually in his example he have a tower of singularity somewhere there and the path he was considering was something like this but I think as we will see in the example later on it doesn't look always the case to have this simple path here so the other remark I want to make is that I think almost I mean at least in the example we consider it's not enough to take the usual Laplace transform where the usual Laplace transform now my tower of singularity usually is here so the usual Laplace transform would be maybe integrating over there this is typically not enough ok so are there any question about that what is the weight in your weight one and indeed I think that in the example instead of William of you and your collaborator it should be fractional weight and I should also be related to the fact that the coefficient has a different growth so you don't have simple singularity but I guess you will always have this fractional power if I remember correctly this bad at series actually has also the Borrel transform that you wrote down yesterday has maybe a square root singularity if I remember correctly yeah that's right so yeah I would indeed maybe one speculation one further speculation can be that in the case you have a square root type of singularity you will get fractional weight but in that case maybe the counter will be precisely this thing so you will always do the many other summation maybe for fractional weight I guess it could be reasonable that you always get this many other summation and I have another example in which you have the fractional singularity and indeed the many other summation is what works well ok so maybe now I will go on with the example and so my main example is like the one I was discussing with Maxime and in this case we have we know that there is a quantum and modular form so here I just try to recall some of the results we are knowing before due to these people and so first we start with the Q series so actually in this case we have two Q series sigma Q and sigma star Q where do they come from actually was Andrews that considered them related to some venatoric problem like counting partition but I will just look at the two expression you have on the right hand side so in particular these are well defined and convergent inside the unique disk but most importantly they also make sense when you consider Q at root of unity and in particular they are actually related by this expression you have this equality and then what Cohen did was actually to consider to define some coefficient Tk as the following coefficient so the coefficient of these Q series and of the other one with the sigma star and what he proved is actually if you consider now the sum of all these coefficient divided by k to the s of an artinal function which is defined in this way okay so we start in a sense like we start seeing some of the ingredients we may need later for our to build our resurgent function but in fact most interesting that here in his paper about quantum modular form he defined a function f defined for Q equal to Tk in particular f can be defined equally as this series with the sigma or with the sigma star because of the previous equality and what he proved and here I add Maxime because he realized there was some mistake and so there was an absolute value missing in the original paper so it proved that this function satisfies this true relation in particular the second one means that if you take the difference between this and this function this e to the 2 pi i24 f tau this co-cycle it's real analytic it's smooth and real analytic outside these two points and I mean this is something that one can easily check from the definition of this Q series this part here in Zagir paper was proved using mass form but you also using the property of the L function over there in particular the functional equation that this satisfies and what he does is like to write these h tau in terms as an integral of some mass form so it's purely analytic it's purely analytic proof and now okay that's nice but what we do now it's time to introduce the divergent series so what we consider is now a formal power series which look like the f tau of Zagir but now where tau is h bar yes tau is h bar divided by 2 pi i or maybe h bar is 2 pi i tau actually even more general so now h bar is just a complex parameter but this is just to make the parallel use definition and if you expand these like we just add an h bar over there but okay if you expand this numerically you see that the coefficient are rational and moreover that they grow factorally fast so actually from now on also the conjecture that you will see it means that everything was check numerically with a very good precision but unfortunately we don't have a closed formula for this coefficient so the first thing that we check numerically is this type of relation so the coefficient here grows factorally fast and you will see this tk the same as before here is coefficient and divided by this rho k so now these as you may expect if you believe the conjecture will be the position of the singularity and these the soaks constant and you can immediately see that they are like in a tower like that it's a bit fast for me you define the formula series by extracting the Taylor series from that series of functions but as a series of functions does it converge somewhere? nowhere no no no it's we just put this in the computer and we start extracting the coefficient and you see that they grow like this I mean if you want here you can first put like an asymptotic like for large n they look like this when I was looking above this cn I mean it's just rewriting this formula so if you just it's adequately convergent it's a formally convergent series each of these formula series is a function and I'm asking whether there is anything analytic I mean do they make sense as a series of functions somewhere? no I mean you need disk but here on the boundary you need disk inside you need disk it's okay so you are extracting the asymptotic extension somehow okay okay so if we now assume that the coefficient are exactly of this form we can compute to Laplace transform in particular in the vertical direction and in the vertical and the lower direction you will and this will define for you true analytic function one in the upper half plane and the other one in the lower half plane and in fact if you compute the discontinuity so you can understand how they jump across this ray and what you will see it's just a computing residue so in particular like on the right you will get exactly the singularity that you have on the right and if you do the other way around you will see the negative one and these are actually also the trans series type of expression that we have seen many times this week so in particular you have all the exponential with the position of the singularity divided by h bar and these are the coefficient sorry rho k was k pi this pi square k over 12 yeah and moreover if you look at this series actually they more or less look like what the series that you find the coefficient tk and in fact you can rewrite them but in terms of q tilde series where q tilde is e to the minus 2 pi i tau sorry divided by tau so if you just specify h bar to be so if you use this change of coordinate sorry this transformation h bar equal to 2 pi i tau you get the back this q tilde series and the q tilde series also appeared in guk of toky yesterday and you will see them later on so in a sense you have this type of transformation when the stocks constant are in a sense and actually the discontinuity can be actually packed in a q tilde series which is again kind of related to the original series sigma and now the second conjure so we have this Laplace transform the question now is is it true that my f tau is equal to this Laplace transform when h bar is equal to 2 pi i tau and let's first look when h bar is actually 2 pi i over n so again this is check numerically and what we have is that 1 over n f of 1 over n depending of whether you take positive or negative look like the Laplace transform in one direction or in the other but there is a correction and what is a 0 is 0 is simply e to the exponential so e to the 0 of x is e to pi i x so it's not exactly the same there is something more and Now you may wonder well what if instead of 1 over n maybe I just put tau because at the end of the day I want my f of tau for tau rational. And if you do that actually again numerically you see that they do not match. So if you replace everywhere 1 over n by tau and you start testing this equality you will see that are something completely different. So it seems only this written in this way it's only valid for 1 over n and you will see in a while also why it's true. In a sense this is related to the quantum modularity of f tau. So okay it's kind of strange and so let's try to look better of what quantum modularity is selling as though. So in fact we have the following, so we can actually simply compute this, check this expression over there. So in particular remember that the cycle was defined in this way. You take the difference on the two. And now if you do that again you can check numerically by now I will tell you also how do you obtain this. You have that disco cycle for tau like bigger than minus one half and not zero has this expression and what does it mean now maybe I should. What is E1? E1 is just a way to rewrite the Laplace transform. So it's just integral from zero to plus infinity exponential of minus 2 pi t dt t plus ax. So just a way to rewrite the Laplace transform but this is somehow related to the exponential integral function. Okay so you have this expression but what is interesting in our sense how do you prove it if you believe the previous conjecture and the idea is the following. You first look at this expression for h but with tau equal to one over n. So you rewrite exactly the same thing putting a set of tau one over n and then you use the previous expression for f tau written in terms of one over n. You will get exactly what is written there with tau replaced by one over n but in fact the surprise at least to me is that if you now use tau whatever rational number now this is correctly numerically looks numerically correct. So in a sense I use a conjecture that only is true for one over n in a sense but if I go back to tau that's worked nicely. And okay in fact even more you can actually playing a bit with this formula again numerically check and obtain the following expression. So now this look in a sense much nicer and in particular what I learned from this formula is that my tau f tau is kind of Laplace transform here plus and minus is just because tau can be positive or negative so I put either plus or minus depending on the sign of tau but you have this extra thing here which in a sense come from there. And what is nicer is also that everything here comes from the previous conjecture the one with f of one over n but in fact you can also assume this to be your main conjecture and if you replace tau with one over n you will get back the previous one. So in a sense this term here will correspond to what before was the terms with a knot the other correction so maybe I should just move okay here before for one over n you had this is zero so this exponential of 2 pi i times n factor and the reason why it was not working in this way is because in fact if you put back any rational the formula became different and what I mean and to fit it in my previous kind of statement attempt I do not I mean I would like to write it as a Laplace transform maybe generalize with a different counter but the point is that I don't see why the right hand side can be something like that like with a media resummation type of thing so maybe it is maybe I have to do something slightly different I mean I don't know yet so far this formula it's telling me that I have this this extra correction but it really comes from the quantum modularity because it's like the different of the I mean yeah it comes from the definition of the cycle in a sense okay so if there are no question about this example I will go on with the other two yes f was defined using my series so the sigma q so f of tau was q or maybe just write e to the 2 pi i tau divided by 24 times the series sigma q with q is e to the 2 pi i tau and yeah sigma q was a series involved the pocummer q pocummer yeah you didn't roll but one can this the version series is rational coefficients that you make in the bargain actually appears in one of this formula it's not a very simple one-dimensional formula which I introduced yes yes one of the simple yes dialogue what I'm developing with some power of law square of law yeah indeed I mean the reason why we got to this example it was because we were simplifying one of the ones the formula Maxine gave in his last talk okay so let's go with the other example which okay yes it's the concept it's a gear powers in Q series okay so again here a bit a quick recap of again this is also an example in which we know there is a quantum modular for so the idea is you Maxime actually consider first this Q series now this time this is not convergent either in the unique disk or either inside or outside the unique disk and but it makes it is well-defined at when Q it's ideal to unity because essentially the series terminate and what the gear notice actually proved is what he called the strange identity in his paper about vasili of invariant so the statement here is that these Q series is actually equal to something which is on the right hand side but the right hand side now is a convergent series in the unit disk so what does this thing mean is that if you take the radial limit on the right hand side you will get something convergent to these power series and okay here the coefficient on the right hand side are given by this character here so this guy and is written over there so this is our Q series and in fact what the gear also proved is that if you define again F from Q to C in the following way so you just add a Q to the 1 over 24 and you always use this definition for the Q then these F tau satisfy again the following relation so this is the simplest one if you just put if you just translate tau you said tau plus one in this formula this is more interesting now here the co-cycle is defined by taking F of tau and then you have here something that you see it's fractional I mean it has this fractional power F of minus 1 over tau and it's as it should be real analytic except except the origin where this is a problem as a problem okay so as you may guess now this will be an example this is an example when you have a non-integer weight yes but H actually it's defined over C over R sorry you'll see okay and so now the question is where again this is fine but let's look for something divergent our divergent parents power series which was actually considered first by costing anger of Alidis so as we did before these series you just replace 2 pi I tau by a generic complex H bar parameter again these as rational coefficient but this in this case we are happier because the coefficient as a closed formula and this was already proved in the paper by Zagie and so what Karouf Ali this and constant did was okay let's compute the Boral transform of these function here the of these divergent series and the first thing then they prove is that the Boral transform as this expression so in particular you see it has fractional power singularity and you also see the position of the singularity which will be at this K square pi square over 6 and if you compute the discontinuity what you get is the following expression so okay here there is an H bar with some fractional power but in fact these will be the stokes constant okay and okay is just what was before so this is another example of my of what I was defining modular resurgence structure because the singularity are all real and actually real positive so you have your tower of singularity and these K times K K I didn't said before but this is related to the dead in Kinecta function. What is XI? What is XI? Kinecta. Kinecta sorry yes it's it's this one yes okay and in particular if I if you so okay let me just in fact you can actually rewrite this coefficient and you can see the gamma appearing so this gamma of n plus 3 half as well as here and again from the two formula as I was just saying you see where are the singularity and what are the stokes constant so it's again an example as I was saying and in this case you know where there is a quantum modular form but in fact what the I mean the main interesting us I mean what is really interesting in the story is that now if you take what is called the Mediar summation you will get it back exactly your F tau and this is non-umeric nothing everything is precise and here I just rewrite so if you want these some on the right on the left hand side is this Mediar summation which is exactly of the type William was saying yes it was considering yesterday so you have these two paths and another way to think of it is that you as William was saying you take the path which is downstairs you move it above and doing that you will collect all the residue from the singularity so in this example you see that in fact is the media resummation that works as also yesterday was claiming William was claim but yeah I have this a special that is somehow it's related to the fact that you have this fractional modular form I think that for integer may be different the the function that you have to consider I don't know but okay yeah so this is a kind of this was the other example and again everything is exact so you don't have really to do any numerics or nothing and maybe the other comment I should say that in order to prove these they actually also use the strange identity of the gear so once you have the strange identity and more or less what was in the previous slide you can actually realize that this is equal to f tau so yeah in that case actually you also use the strange identity which in general maybe we don't have okay so now if there are no question about the example I will go on to the last one which is a one which is the one in progress also with Claudia so actually what I'm going to present in this last example is an example in which we don't have now a quantum modular form on the nose so we don't know whether there will be or not but we will see that we have this modular resurgence structure and so what we are trying to do with Claudia is to construct the quantum modular form okay so where does this and actually this example come from from something that has nothing to do maybe with the series we see this week with knots invariance and so on so Claudia in in her paper consider this trace of quantum mechanical operator and here I'm just looking on the example of local p2 so exactly the example that Pierre Rique were discussing before so what she computed is this expression where you have a bunch of q series and also q tilde series okay and in particular so already from there you can consider these are well-defined both as Q and Q tilde series but in fact in order to get these divergent series she considered two limits the limit at one Q tilde going to one or Q Q or Q tilde going to one and she get two divergent series in the parameter h bar and here I have to say that I keep using my convention H bar equal to 2 pi I tau but in fact in our paper the convention is likely different and this because H bar it's a physical parameter so it's reasonable to have it like parameterizing a different way with respect to tau so I just change it in this way because then we will see more clearly like the parallel with my convention as before my definition as before but okay if you look at the paper is slightly different and so these also mean that somehow my H bar is not anymore the physical parameter and these two limit that we have here again actually have a physical meaning and they corresponds to two different points on the modular space of the local club you know okay but so now we just look at the Q at the divergent series which has which are inside of this exponential sorry so we have three equalities with trace of rule the first is the function is defined this way and yes and the last two the limit is asymptotic expansion yes that's true yeah so they're not equalities I know sorry so asymptotic expansion as H bar times 2 0 or infinity exactly yes okay and I mean this case is nice because again we have closed formula for the coefficient coming from the the book cover so yeah everything is exact okay so now here I just put all I mean many of the result that Claudia proved and only the one that in a sense I need so we consider this divergent series this is a one at zero so this is why I have this G naught this is the Bernoulli polynomial number and this is the Bernoulli polynomial computed at yes they are a bit too close yeah okay so this singularity in this case lies on these four pi square k and the stocks constant satisfy I mean gives you an L function which in this case is this product of the Riemann Zeta and the Dirichlet L series associated to this character shifted by one okay and in particular she also proved that locally at close to each singularity the Borel transformer has the following expression so in particular is a simple resurgence structure you see that you have no other correction and the singularity are exactly at this Rokei and the stocks constant as I said are the SK as in particular you say that Borel transformer is an analytic function and Rokei are all for singularity okay and moreover so okay in particular this is a resurgent resurgent but modular resurgent structure and moreover what she observed is that you can have you can rewrite the coefficient in the following way so exactly the way I was writing at the beginning this is what she called the exact larger the relation and this comes from the fact that you don't have other series attached to the log so since you have only this one this became an exact larger the relation otherwise you may have got more coefficient and computing the discontinuity now this Rokei you have them only on one on the real axis on the positive real axis so if you compute the discontinuity the discontinuity you will get the same type of trans series expansion where you have the constant and the Rokei divided by each bar but you see again that this is kind of proportional to the Q tilde a Q tilde series and what is this Q tilde series is actually part of what we have at the very beginning so they initially the trace as true QC oops here yes as true Q series you get exactly this one over there and there is the log because the series I'm considering has a log I took the log of the original one so you have this nice expression and for the other series the one at infinity it's kind of the same so again you have this nice exact expression for the coefficient and the Borel singularity are this point over there and the Stokes constant again satisfy kind of the same relation in I mean it more or less the same function but shifted you have just L of s and the Riemann zeta at s plus 1 and locally again you see simple singularity no other term and yeah Stokes constant and S k and Rokei so in particular you have again an example of these modular resurgent structure and thanks to the fact that you don't have any other series you have this exact larger the relation which now okay you have this gamma of 2n minus 1 but still like integer and if you compute the discontinuity you get this log so the this log where you have the other two Q series because now we are at infinity and so we see the Q series ah sorry here there is a type I think shouldn't be divided by h bar but multiplied by h bar because it's the one at infinity that's okay and so now I mean it's still kind of in progress to figure it out what is the quantum modular form in this case so if there is a quantum modular form and the expectation is that it should be related with this difference of logarithm so that this this difference of logarithm should satisfy the same type of transformation I was writing before but again it's not in this case it's not clear whether the medium Borelli summation will produce the the L function you want so yeah kind of open so far okay so yeah I think I'm gonna finish maybe a little bit earlier but it's fine so some are rising okay not yet the point I want to make is I want to make is that we have introduced a bit naively this modular resurgent structure but I think that it seems promising at least in some example and even thinking about William talk more generally to produce some quantum modular form so in thinking about the example of conceiving to the gear and William it seems that these general generalized Laplace transform should actually be the media Laplace resumption because this is the theorem that we have in some example but I think for what I call simple modular resurgent function so the one when you have either simple poor or log it may be different so it may not work exactly as in the previous class and yeah okay of course I mean this is kind of maybe naive approach but I it seems that in a sense all these quantum modular property can be already encoded at the level of the resurgent structure of the divergence series so we have seen examples so far where maybe one expect quantum modularity also for other reason like if you have this not invariant there are very good conjecturing which okay that sell you that there must be some quantum modularity and this is what William your David and collaborator were approved but from my point of view it seems that also resurgence amount knows of that so even like it's just something which you which is encoded at the level of the series and the point is how to it's understanding which type of Laplace transform you have to consider to extract the information so to really get the quantum modularity and that's what I want to say thank you very much other questions maybe your last example of this crisis are they related to the series which appeared in the previous talk to Perica a good question I don't know I don't know if it's exactly the same for he has these expression for when you want to apply WKB but I don't think it's they find it in the same way maybe you you can comment cloudy as well but yeah this is this trace comes from inverting the operator that comes from quantizing the miracle which he was showing supposed to be killed by the operator defined by the one yes yes I think the series are like slightly different different facts in one like the trace of these operators was the other one was about like the one I was considering was that the WKB solution of so yeah I think probably there should be some clear to me is that the order for point it's either each bar zero or infinity no I mean in the terms of the much less base of P2 is that generic so when you take each bar going to infinity that corresponds to the control the expansion and take each bar going to zero inside you're looking at a large radius but the modules of P2 is kept arbitrary this I mean these are points in modular space I understand but you're talking about each bar I'm talking about the complex modules so the mirror of the two isn't the queue isn't related to the queue I guess what before was that the tower some in the T in Terek talk or something like that okay so then okay maybe maybe we can do it yes may question you have some L function associated to this quantum model reform do you have some conductor if this comes from some out about geometry or some some motive no I don't think so in the example considered by maybe we I'm also the one of conservators that year you see that it is a directly a function but like in the example of Cal that you have this product the other one you have an art in L function so I don't know whether all this thing can yeah I don't have like a general picture for which algebraic geometry should correspond or motive yeah okay no more questions let's thank the speaker again


Daily Tech News show is made possible by its listeners. Thanks to all of you, including Bjorn Andre, Jeff Wilkes, and Father Kadan. Coming up on DTNS, will E3 be more like packs in the future? Plus, Sony pulls movies that people fade for and pulls discs from collectible bundles. This is the Daily Tech News for Friday, July 8th, 2022 in Los Angeles. I'm Tom Merritt. So, Deep in Dogtown, St. Louis. I'm Patrick Norton. I'm the show's producer, Roger Chang. And we are very happy to have TV host and streamer, Tricia Hershberger back on the show. There, you get the applause. We're going to talk about E3. We're going to talk about Sony, but let's start with a few tech things you should know. In early April, Microsoft began blocking VBA macros on downloaded office documents by default as a security precaution. A company said it's going to roll back that decision, citing feedback from customers. Microsoft did not initially announce the rollback, but confirmed the change after customers noticed a change in the default behavior. My stuff is broken. SpaceX announced Starlink Maritime, a satellite internet service for Watercraft offering up to 350 megabits per second down. Customers need to purchase dual terminals, a fancy set of antennas for $10,000 as a one-time cost, with a monthly service at $5,000 a month. Coverage at launch is limited to coastal waters in North America, Europe, Australia, New Zealand, Brazil, and Chile. While that surely sounds painfully expensive, SpaceX has a case study that points out that moving to Starlink from traditional very small aperture satellite internet service for their drone ships dropped their monthly internet tab from $165,000 a month to a mere $50,000 a month while increasing what they call fleet throughput by 5,900%. Seriously, from very limited personal experience, traditional high-speed satellites in obscure areas or out on the ocean is insanely emotionally traumatizingly painfully expensive. It's one of those compared to what you were paying. It sounds cheap. We like to keep you up to date on fast-growing services. You might not hear about anywhere else, but you might hear about down the road. And because you listen here, you already know about them. Universal Music Group signed a deal to make its catalog available to UMDUNDO, M-D-U-N-D-O. It's the fast-growing music service with about 20 million users as of the end of June, mostly in Nigeria, but also expanding across Kenya, Ghana, and Tanzania. Universal Music Group is behind some of the biggest labels on the continent, so it's a good get for UMDUNDO. Def Jam Africa, Blue Note Africa, and Motown Gospel Africa will be joining the platform, among others. Nice. Netflix is sponsored with, excuse me, Netflix has partnered with Sennheiser to replace Borneau stereo audio with Sennheiser's Ambio 2 channel spatial audio system, at least on some of its original programming, most notably Stranger Things Season 4. Just search for spatial audio and you'll find a list of Netflix titles that include the feature. Netflix already offered spatial audio on supported Apple products, but this is supposed to run on anything from cheap TV speakers to your cell phone, headphones, tablets, laptops, you get the idea. I've had a good 10, 20 minutes puttering with it, and I can safely report it is the old psychoacoustically tweaked stereo sound to make it more bigger and enveloping. Big props to Sennheiser, by the way, for giving re-reporting mixers the ability to tweak this in the production process. I'm looking at you, poorly rendered spatial audio and classic albums from certain music sites that make me go, why did you do this to this innocent album? So what you're saying is what Sennheiser doing is very spatial. The Wall Street Journal sources say Google has offered to place the part of its business that auctions and places ads into a separate company, but still under the alphabet umbrella. Remember, Google's part of alphabet as is Waymo and a bunch of other companies, they just take all the ad tech and make it its own alphabet company, right? That solves the problem, right? The US Department of Justice has been investigating Google for abusing its position as both a broker and auctioneer of the ads. Usually those are separate parts of the process. There was no information about whether this part of Google's proposal would be acceptable to the DOJ or not. All right, you laugh, but you never know until you ask. Let's talk a little bit more about what's going on with Sony and movies right now. And I'm not talking about Sony Pictures in this case. We're talking about PlayStation. Last year in August, sorry, bit of an internet lag there. Last year in August 31st, Sony stopped offering TV shows and movies on its PlayStation Store. And at the time, it wrote that users can still access moving TV content they have purchased through PlayStation Store for on-demand playback on the PS4, PS5 and mobile devices. It's okay. We're just not selling any new stuff. It didn't exactly say for how long though. And as of August 31st, this year, customers in Germany and Austria at least will no longer be able to view your previously purchased studio canal content we removed from your video library. Variety reports that's about 314 titles in Germany and 137 in Austria. Most importantly, for a lot of people, that's going to include both Paddington movies and the children wept and some Lionsgate films like John Wick and Hunger Games and the teens and older people wept. We have not heard whether any refunds would be offered. I hope in Sony's case, they make it good on this because this is just not nice. This is the exception that proves the rule. Everybody talks about being afraid that this will happen. It almost never happens, but this is the worst case scenario of I paid for a thing and now I can't use it anymore. The reason this doesn't usually happen is when companies do close down, like Flickster did, for instance. Flickster, not Quikster, that was Netflix. Flickster was a TV movie rental service, a sales service. They migrated you to another service. Target had its own service. They migrated you to another service and Sony didn't do that.  My guess here is that there is a deal with Studio Canal that expired and Studio Canal said, well, if you are not continuing to make us money, we're not going to renew that deal. Yeah, that definitely tracks. Like you guys were saying, this is the age-old argument to buy physical media. Why would you buy physical media? I know a lot of us are digital only. I'm mostly digital only because I have tons of DVDs and Blu-rays that just take up space on my shelf. Now, if you collect those, that is like a niche thing that a lot of people go for. But the argument to collect those, even if that's not your specific collector style, is that when something like this happens, you're not SOL, so to speak. I feel awful for those folks in Germany and Austria right now that paid for, owned these movies, but don't actually own them. It's a good reminder when you buy things on a digital service, what are you actually buying? You mean you're buying into the service and if the service is no longer there, then neither are your purchased items. I think if you look at music, what we're seeing with music is people have gotten over the fear of not being able to own because so much is available, so much of the time. We're not there with video. We don't feel secure yet that like, well, if I want to watch something, it'll be somewhere, right? Because most stuff is somewhere, but it's also not everywhere, whereas music is pretty much everywhere, right? You can find it. Most things are also on title, Spotify, Apple Music, whereas in video, it's, well, if it's on Netflix, it's not on Disney Plus. It's not on the other thing, so it's more complicated. I don't think it's necessary for everyone to switch to physical media right away. This is just bad policy from Sony and they should have done better by their customers from the moment they ended this last year. I'm just going to quietly ignore the large stack of Blu-rays and CDs that occupy storage in this basement. I don't know. You are absolutely correct, Tom, that this is the nightmare scenario that almost never happens. As Trish points out, most people are living the streaming lifestyle. I also feel like the options have narrowed so much that the players that are remaining to buy content online, if you look at Apple, Google, these are huge companies that this is practically a side-sell for their primary businesses. I think they'll be able to keep this supported, but it's always a little nerve-wracking, especially if you can't do things like migrate titles to movies anywhere, which you still can't do with a bunch of titles included. That would have been the other thing. If Sony was part of movies anywhere, then you would just open a Voodoo account before Sony closed down, port most of your stuff over, although some exceptions, including Lionsgate, weren't part of movies anywhere. That's another point. I was about to point that out. Yeah, it's so close. I was going to ask, is movies anywhere generally regarded as the most ubiquitous of the movie streaming services at this point? It's the only cross-service platform. If you're going to participate in buying movies online, which again, I think a lot of fewer people are doing that than they used to because they just decide to stream stuff off of whatever service they happen to be using rather than owning them, but movies anywhere is the way to go. It's your only thing. There was another one called Ultraviolet that went away. Your category management is movies anywhere. They just need to get everyone in the store, so to speak. Well, similar story here, but with a different spin. God of War Ragnarok now scheduled for release on November 9th for PS4 and PS5 and is with most big game releases these days. There are special collectors editions that feature all kinds of cool extras in there. For instance, the Yotnar edition includes a Mjolnir replica, Thor's Hammer, a Knowledge Keeper's Shrine that looks really cool, a 7-inch vinyl record that has the music from the game by Barry McCrary.  It does not, however, include the game disc. Neither version of the collector's edition. They have two. There's Yotnar and just the collector's edition. Neither of them include the game disc. You get a digital download code, so you get the game, but it's a code, a code that you cannot use until the box with the code in it physically arrives in your hands, so you're not going to be preloading. You can still buy a disc of Thor Ragnarok or God of War Ragnarok if you want, but that is separate. That's the standard of the launch editions of the game. The launch edition comes with some free DLC, but these don't include any of the physical objects that the collector's edition do. Now, Sony has done this before. They previously omitted the disc in the collector's edition of Horizon Forbidden West, but they did sell a special edition with a steel book and a mini art book. Mass Effect Legendary Edition also offered a legendary cash bundle that didn't even include a copy of the game at all, physical or digital, but there were other versions of with collectibles that did. It's no secret that growing number of gamers don't buy discs. Ars Technica notes that in its retail spot check, they estimate about 25% of the people who bought a PS5 opted for the one without a Blu-ray drive, so offering collector's editions with a download code isn't odd. Ubisoft has done that a lot, but not offering an option that has a disc kind of seems like it might be an emerging trend. Tricia, is this just the way of things? I mean, honestly, since the latest gen console releases, both PlayStation and Xbox have offered a digital-only option, I wonder if this is a way to not make the folks who've purchased the digital-only console feel excluded?  I don't know. That was my only thought in reading this. I think it's very funny to get a steel case without a disc. That seems strange. But that being said, I purchased the Horizon Forbidden West Special Edition. I have the steel case and I just used the download code. And when I got it, it didn't strike me as weird at that time. Now, when we're talking about it here, I'm like, oh yeah, that is strange. But it made me think, what about when I got Horizon Forbidden West Special Edition didn't feel weird then? I guess we're all just so used to digital game codes. At this point, or especially if you come from PC gaming, you're very used to Steam codes. I don't know. Patrick, what are your thoughts? No, there's like no console gaming. The closest thing we have to a console, the house is a play date. So, you know, part of me was like, that's right, people still get games on. You know, Captain, I have 300 Blu-rays is like, oh yes, video games are still sold on discs. Isn't that fascinating? How quaint. Because everything in our house all came off of, you know, Steam or one of the other platforms. Yeah, part of me was like, Tom and I were talking about this earlier, part of me is like, this is, and then part of me was like, it is really weird. I think you know, on the head, the whole point of a steel case is to have a disc inside of it and to have a steel case without a disc is just peculiar. You know, I'm also wondering when there's going to be the first sort of special edition cassette to go along with the seven inch vinyl option since I've been, oh yeah, it's coming because I've been seeing more and more people releasing cassette versions, you know, and I've even found a place that claims to be doing eight tracks, new eight tracks, and I'm trying to figure out where they're sourcing those because I thought nobody in the world was still making them.  Yeah, it's not weird to me that they would offer a collector's edition with a download code. There's a bunch of music acts that I follow that do that when they put their concert stuff out on Blu-ray. They'll offer you a version that's just the download code, but you still get all the books and pictures and stuff and liner notes that go along with it. So, I get that. What I don't get is not offering you the version with the disc, right? Why not also have one for the person who either uses the discs to play or even just wants to have the disc as an artifact, right, as a thing to have in their collection. Some people are like that. They just want to have the physical thing. Yeah, I mean, is this a move by Sony to them kind of communicating to us that they think that the physical media is on its way out? I don't know. I wonder if that's having a permanent copy of this. So tired. I wonder if it's that or if they just don't want to pay to do the production run. Obviously, they're making discs because they're selling the standard edition, but they don't have to make as many. I don't know. Yeah, it's just peculiar. Maybe nobody, maybe somebody forgot. Maybe it got through all the layers of people that have to sign up on this.  We forgot that school to be one with the CD in the steel case. Wasn't that supposed to happen? Well, now they've forgot for three franchise special editions in a row, you know? Yeah. Yeah. Or maybe maybe you could, well, I mean, you can buy it as an add-on, right? You can buy the standard edition, take the CD and put it in your steel case, I suppose to go with your code. So it's just a little extra money. Yeah. And so you didn't worry about preload when you've gotten the digital code shipped to you before, Trisha. It sounds like that wasn't a big deal. No, I try to plan it for the day that I'm going to stream the game or something like that when I have access to it. And generally, I will either wake up really early in the morning because I'm excited and just get it that morning. So before my stream starts, I know I have plenty of time to download it. Preload is always nice, but for me, it's not a necessity. That a big deal. Well, folks, hopefully these are of interest to you. That's why we talk about this stuff. But we're always interested in what you would like to hear us talk about on the show. In fact, a couple of these stories today and the quick ones at the top came from our subreddit. So get in there and submit stuff and vote at DailyTechNewsShow.Reddit.com. The Entertainment Software Association, which puts on E3, when E3 happens, announced Thursday that E3 will happen in the second week of June next year in person and online from the Los Angeles Convention Center as is supposed to happen in the world. All will be back to normal. The ESA also said it will, quote, feature in-person consumer components, which is what ReadPop is kind of famous for. And I bring that up because ESA is partnering with ReadPop, which puts on PAX, New York Comic-Con, Star Wars Celebration, among other things. ReadPop also runs gaming websites like Eurogamer, Rock Paper Shotgun, and GamesIndustry.biz. E3 has been so many things to us over the years from a small thing in a hotel one year suddenly to the largest video game show in the world at times. Do we think that ReadPop can help them reach their final form? Is this the end game for E3? Can't you think of any other horrible gaming metaphors for this, Trish? It's a third, yeah, third form on the bus battle. I don't know. I'm failing on your gaming metaphors, but I honestly really do hope that ReadPop can build E3 into something special again, whether it's just nostalgia or my fan fervor. E3 is something that holds a special place in my heart, and I think that it's very possible that the time of E3 as it once was has now gone by, now that we see a lot of virtual keynotes at events like this. But there is something still very special about a PAX, about a Star Wars celebration. That's all of these gaming fans and enthusiasts gathering together to celebrate their love of video games. And so if ESA is trying to transform E3 from an industry-only event to a fan event or an industry and fan event hybrid, as we've seen it in some past years, I have hope that ReadPop could do it. I mean, PAX is probably one of the best enthusiast events as far as catering to the consumers and not just the industry that I've ever been to. Again, Star Wars Celebration is very like that as well as New York Comic Con. So fingers crossed that that could happen. You know, as someone that has worked in games journalism over the years and has gone simply just to cosplay and be a fan of video games, I would love to see an in-person event come back and be really special. Now, if it is going to be all digital keynotes from here on out and that fan component that even hands-on component, if that's missing, I do think E3 might be dead in the water. What do you think, Patrick? You know, it's funny because I read this, then I read this again, and then all I could think of was there were two gentlemen. I had to fly recently and I routed through, I don't know, Phoenix or Vegas, but a couple of guys got on the plane, were on their way home from Star Wars Celebration. These are two guys in their 30s and they spent the first 25 minutes of the flight telling basically the grandma sitting in between them about this convention. When you talk to people about Star Wars Celebration or you talk to people about PAX, it's just a giant fire hose of stoke. People love it. It's amazing. It's this incredible experience. It taps into all this stuff that they love to do. It's inclusive. It goes on and on and on and on and on. If anybody can make E3 this extraordinary experience, I would think ReadPop is. Either that or ReadPop has just managed to associate itself with extraordinary events that it just happens. You know what I mean? If the problem is the management and not the event, then I feel like E3 has got a really good shot with ReadPop because the stuff they put on is just beloved. Yeah, they've got amazing track record and I could see someone somewhere saying, well, imagine if PAX had the industry built into it already. Not that PAX doesn't have the industry, right? But they've had to go bring the industry to it. E3 already has the industry there. It's going to still show up even with all of the uncertainties over the past few years with COVID and everything. The industry is going to show up at E3. If ReadPop can plug that into the consumer base, I mean, I could imagine a scenario where virtual keynotes still happen, but you can experience them at E3 in the hall and get hands on with the games even if the presentation isn't actually in the hall and people still be pretty happy with that. Yeah, I think that would be the hybrid way to do it moving forward. And then of course, now we also have EA's Summer of Play and Summer Games Fast and all of these other E3-like events taking place at the same time, vying for that E3-type mantle, if you will. Who's going to be the next E3? And so I think it's a little sad for ESA that they're vying for their own title of who's going to be the next E3. But as a fan and as someone who does work in gaming journalism from time to time, I'm just sitting back with my popcorn anxiously awaiting what comes next. You're ReadPopcorn. My ReadPopcorn! Yeah, I mean, Tokyo Game Show is not a bad model for that kind of hybrid event, so it can certainly be done. I look forward to seeing what they come up with. I don't know, maybe they'll partner with Keely or something crazy like that. I'm not, you know, you'd ever know. There's thinking outside of the box yet to be done. Speaking of thinking outside the box, right now solar energy is about 3% of the global supply and when a solar panel goes dead, it pretty much becomes trash. It can be sold as crushed glass or something like that, but it's not really effectively recycled. You might want to hold onto those dead solar panels then because Norwegian energy industry analyst Reichstad believes the economics of recycling solar panels is about to change. It estimates the value of recyclable materials from solar panels may grow from the 170 million dollars it is now. It's not nothing, but it's not a lot considering the number of panels. To 2.7 billion by 2030, and there's three reasons for that expectation. One, solar panels are becoming more affordable to install and therefore more people are installing them, which is raising the demand for new panels. Two, the materials to make those new panels are becoming more in demand because they're making more panels and the handful of countries that mine and process the materials needed are coming under closer scrutiny and sometimes outright sanctions as in the case of some solar products made in China. So there's a tightening of supply of the materials, not the least of which is logistics and supply chain issues that are affecting everything. And three, it's becoming easier and cheaper to extract valuable materials from older panels. Used to be you couldn't really get the silver and polysilicon out. They're making progress on being able to do that as well as many of the other materials in there. So it looks like we may be able to take those old solar panels that have like a 25-year lifespan, which right now that means some of the earliest installations from the early 2000s are reaching the end of their life and possibly extract the materials to create new solar panels out of them. I like this. It's been kind of crazy watching the recycling. A few years ago, I fixed it. Kyle kind of started tracing some devices, kind of from turning them in for e-cycling to where they ended up. And the terrifying thing is, okay, some stuff ended up in landfills, despite the fact it was supposed to be recycled. Some stuff ends up in streets, in open flames, basically being melted down for whatever metals they can get off the board. The rest of it kind of gets pitched. And it's kind of extraordinary to watch, especially as the availability on some of these rare earths gets squirrelier and squirrelier or more complicated or more expensive or just the fact that we're running out. Hopefully, this continues to grow as an option because otherwise you get into that science fiction trope where you're mining landfills in your urban dystopia, searching for capacitors or bits and pieces. Some kind of walley situation. Yeah. Nothing to sci-fi dystopia dramatic, but anything that keeps stuff out of landfills is a good thing as far as I'm concerned. Yeah. Pat, when you were reading that, did you happen to read if there were certain e-cycling services that had a better track record than others? There are. I've found out that, in a lot of cases, it's just gotten so much better in the last few years. And there's a sort of a, the best thing to do, I could say, is kind of go to iFixit and see where they recommend. But most of the major places you can recycle stuff now, I feel comfortable in saying in most of the major places you can recycle stuff now are much better about it. But I do not have the latest information on who the best place is to take stuff to is. Cool. I will do some research. And if you know some places, you can email us feedback at dailytechnewshow.com. Let's check the mail bag now. Jeff wrote in and pointed out that on yesterday's show, DTNES 4311, Patrick and myself contemplated the value of a meta account versus a Facebook account in relation to Quest headsets. The news was that they're dropping the requirement of a Facebook account and implementing meta accounts in August. And I was pointing out that there's not a lot of difference between those two because Facebook's, you know, still owned by meta and meta still owns all your data either way. Jeff writes, a lot of people are contemplating whether there's a difference, but for me, there's an important difference. When my son received a Quest 2 headset, I had to use my Facebook account to set it up. So he was immediately linked with my social graph, which doesn't include anyone less than three times his age. It also linked the friends he games with, all of whom are less than a third my age, to my Facebook account. Having a separate meta account means that I can finally separate him and his gaming social graph from my Facebook social graph by creating his own account. It also means that I can now consider getting a second headset so that we can game together since previously doing so would have involved me creating another Facebook account, which not only would have violated their terms of use, but been a heavy hammered approach to the small issue of wanting to game with my son. That is such a good point. That is such a good use case example because I do think a lot of us are talking about it of who owns all your data, but when it comes to the practical everyday applications of using these devices, that's a really solid use case. Yeah, I don't, when my son's old enough to use a VR headset, I don't want all of his little gaming friends attached to my Facebook. Right. But they'll be charming. Well, and this is a lot of times when people say like, why do you need an account for children? And the answer is maybe you don't need a Facebook account for children, but you might want to play games with your children on the Quest, in which case you need an account for them to play because that's the way they set up the Quest, unfortunately. And to be fair, when we say for children, the Quest is recommended for ages 13 and up. So not little, little children, but for teenagers. Yeah. And you might not want them to have their own Facebook account yet. Also, I think from a marketing standpoint, there are people who think, oh, I don't want a Facebook account. I left Facebook ages ago, but meta, is this a new thing? Yeah. Yeah, we touched on that yesterday. We might have just sort of assumed it more than talked about it, but that's the part of it where I'm like, it really is just a brand change in that respect.  It's not called Facebook now and not look too much farther into it, which, you know, good, good for them, I guess. I mean, there's a lot of people who are pro Instagram, but anti Facebook. Oh, sure. I am one of them. I'm not anti Facebook, but I don't use Facebook. I don't like using Facebook and I rarely log into it, but I use Instagram all the time because I don't have a moral objection to the company. I just, I just like one product over the other, you know. What experience? Well, let's thank Patrick Norton for being with us for two days in a row. Thank you, Patrick, for stepping in. It was great to have you, man. Thanks for having me. It was great to be here. As always, tweet at Patrick Norton or head over to A.B. Excel or search for A.B. Excel and your favorite podcatcher to hear Robert and I, and by the way, how to recycle end-of-life electronics. iFixit.com slash wiki slash e-dash waste is a place to go to find out where to get rid of your stuff in a certified and smart manner. So hopefully that helps everybody out. And there's a link in the show notes for you, Trish. Trisha Hershberger, thank you so much for bringing your sunshine into the show. As always, it's a pleasure to have you back. Where can folks find out what you've got going on online? Thank you so much for having me, Tom. This is always so fun. If people want to follow what I'm up to online, I stream on Twitch, twitch.tv slash Trisha Hershberger, or you can follow me on all the socials at that girl Trish with no I in the girl. So that GRL, Trish. And I do the tech and gaming hosty things for variety of different outlets. So if you watch Amazon Live, if you watch Twitch Gaming, if you watch IGN, if you watch Crown Channel, you'll see my face pop up in those places from time to time. But yeah, my home base at that girl Trish or twitch.tv slash Trisha Hershberger. And thank you so much for having me. Thank you. And thanks to our brand new boss who made the show possible. We couldn't have had Trish or Patrick here without the help of our patrons, including the newest patron, Johnny Homecoming. Thank you, Johnny, for supporting the show yesterday.  Could be you tomorrow, patreon.com slash DTNS. There's also a longer version of the show called Good Day Internet that starts right now for patrons available at patreon.com slash DTNS. We're live 4 p.m. Eastern twenty hundred UTC find out more daily tech news show dot com slash live and we'll be back Monday with Nika Monford from snob OS is our guest talk to you then this week's episodes of Daily Tech News show were created by the following people host producer and writer Tom Merritt host producer and writer Sarah Lane executive producer and Booker Roger Chang producer writer and host Rich Strapolino video producer and Twitch producer Joe Coontz technical producer Anthony Lemos Spanish language host writer and producer Dan Campos news host writer and producer Jen Cutter science correspondent Dr. Nikki Ackerman's social media producer and moderator Zoe Deterding our mods beatmaster W's goddess one bio cow Captain Kipper gadget virtuoso Steve Guadirama Paul Reese Matthew J Stevens and JD Galloway modern video hosting by Dan Christensen video feed by Sean way music and art provided by Martin Bell Dan Looters Mustafa a a cast and Len Peralta a cast ad support from Tatiana Matias Patreon support from Dylan Harari contributions for this week's show came from Shannon Morse Scott Johnson and Patrick Norton and our guest on this week's show was Trisha Hershberger thanks to all the patrons who make the show possible this show is part of the frog pants network get more at frogpants.com Diamond Club hopes you have enjoyed this program


Yes, I'm going to start with my brother. Oh, OK. OK. What's your warm-up about here? What's that? Your warm-up about me? Yes, I locked up yesterday. I just want to thank you for not scurrying. You're one of the generals coming. Yeah.  They're all talking about work, though.  Yeah. Good Friday? Yeah. I couldn't take it if I was any better. I couldn't take it if I was any better. You good? Yeah. Yeah. Yeah. Yeah. You tell them how to make it happen. Where to go? When to get ready? You can sit on the ground. That's right. Every once in a while, you got reminded of that.  You're like, OK, see if you can take off that. All right. Have a good day. Thank you, sir. Get to work. I'll do it. Thank you. Oh, yeah. Thank your family. Turn around. Turn around. Help.