At 18:20 he says the smallest non-cyclic group is order 60, but S3 is non-cyclic and has order 6?

I wonder if these results (e.g. statements around trees and density in terms of global synchronizability) hold true if the natural frequencies are not the same across every dimension, i.e. that w_i != w_j

One of the most interesting conjectures right now, dont know why more people arent talking about this

Great questions from the audience

How do you implement the FT equations at the level of metal when you start machining and assembling the device? The math equations are explanations of the invisible principles not the design and manufacture of the physical parts for which practical engineering skills of size, dimensions, fit, speed, number of parts, shape of parts, strength of materials, interconnections etc count . If I give you a set of equations, you won't get past the first step in actual design and manufacture of a working machine. There's a 99% gap between theory and practical engineering.

Ok

Nonsense

Great thank you❤

For John Conways water based 'computer' (actually more of a logic circuit), google for: This early computer was based on a urinal flush mechanism

Can't stop watching because of intuitive example of how the 2 generating matrices differ. Even though I'm slow the presentation caught my eye.

Why have you stopped making videos?

This is a great video. Modular forms and geodesics are great tools, I have lately been using them in my study of representation theory. Thank you for posting.

amazing presentation, thank you!

45:18 This is advanced mathematics

46:34 must be a floating point error or something why those are "almost integers" in some super computer

It saddens me that some stupid prank channel can garner millions of subscribers showcasing banal idiocy, but high quality pedagogy, is largely ignored. We really can't claim that we don't have exactly the kind of society we deserve.

It would be extremely beneficial to have some way of compiling from popular functional languages like haskel to Excel Lambdas.

3 little blue boys and a brown guy brought me here

you are very intellegent

great

great

What a beautifully clear talk! So nice to see a Fields medalist take the time to give such an accessible talk! Thank you!

Hi, I'm sorry but can I send an exercise of topology.? I couldn't solved it in exam but he will ask me to solve it on Monday

Very interesting!

<3

I have seen this before. Google is misspelling my texts! Now I want to say something. The size of a group depends multiplicatively on its asymmetries. Umbral and monstrous moonshine seem opposites. But 24 = 4! is not the largest number. 5! = 120 is not the largest either, but seems to meet Galois obstructions. Galois theory is wrong! One can see this immediately through Insight theory! There are no Topologic obstructions! The sextic has been solved. There are an infinite number of Lie groups.

This determinant via Gram determinant is used in the statement of the area formula for Lpschitz maps between Euclidean spaces. Currently I am doing a video series on area formula (on KZbin) and in one of my videos I will prove why this determinant is the scaling factor.

1:22:25 This is like the explore-exploit problem for research! also what about e^pi*i, I feel like that was what always what sin wanted to be.

54:40 I liked the old XLM too! 😇

58:55 opened up possibilities of thinking about adding a type system (quickcheck, ...) ...

23:20 " ... and nobody's yet built a ... piece of hardware that's actually better at executing functional programs than compile into ... something that Intel's built ..." -- We have 2021 and that is still the state of affairs. -- Sad.

14:00 Well MS-Excel can hardly be called functional when not treating functions exactly like arguments (it has no support for higher order functions). But maybe that changes now with lambdas? Watching on ... Pure aka side effect free MS Excel indeed is. Well, as long as no VB code runs in the background.

Same presentation by Borchers - kzbin.info/www/bejne/emqTaYtnf6airbs

I hit pay dirt today! Instantly subscribed!

Grouped conglomerations of prime-connection coordination in ONE-INFINITY Quantum-fields Mechanism of AM-FM QM-TIME Communication Completeness/Singularity positioning of logarithmic numberness condensation. I Agree, in absolute principle.

The techniques used for proving the classification of finite simple groups might be useful for proving similar results about Hopf algebras, and possibly some classes of loops that are well behaved enough like e.g. Left Bol loops (Moufang loops were surprisingly little more complicated than groups when it comes to simplicity).

OK cool. So my next dnd adventure is going to feature radiolarians for sure. 😛

Thanks, what a great overview and practical applications! I am in a Programming Quantum Computers study group that targets developers focusing on the programming fundamentals rather than the complex physics behind it. We are learning about computing Fourier Transforms. Several in our group haven't had exposure to them and those of us who have its been years since we covered them in college. This was a great presentation and I'm going to share it with my group. Understanding the application behind the algorithms helps anchor why we are learning something and tremendously improves our ability to grasp the concepts and immediately apply them.

I am not a mathematician nor a physicist but Prof. Richard Borcherds was so clear even I understood this topic. I'm really glad that I have found this video ^^

Excellent talk - thank you for posting this here!! Minimal surfaces is another related & deeply interesting topic - have you had any speakers on this topic I wonder? I must do a full search on your channel (which is superb!!!). Best wishes.

With respect to finding real roots of polynomials using styrofoam and water, couldn’t the negative roots be found by negating the coefficients of the odd terms and using the same method?

That was very interesting. I could not find the book by Lyusternik and Shabat. Is it possible to get a link?

Non-rooted infinite regular binary trees are a lot like 2 or more dimensional negatively curved (hyperbolic) space, especially as the curvature approaches infinity, but either way that is oddly a lot like flat (inf dimensional) hilbert space.

How can we imply this to the forex markets ??

I would like to see a similar study with systems of nested dipoles. Start with three nested dipoles, each dipole consisting of a -e/6 and +e/6 point charge that observe Maxwell's equations. Give them vastly different energy (kinetic plus electromagnetic). My guess is that such a system will synchronize and that will shed light on the accuracy of the Koide formula.

Well presented, thank you. :)

Adam (blue shirt) had some great questions! Thanks, Adam, wherever you may be.

This is great, but my mind kept jumping to Tom Wildenhain’s “On The Turing Completeness of PowerPoint” kzbin.info/www/bejne/q3_NqZhuiM2AY5o

If there is only God, there is only 1 to divide in order to create the means by which Gnosis is gained, yet 1 remains timeless and unchanged, retaining its oneness forever. If we express this in the simplest terms, we can say 1 is divisible by n, where n is any number. This simple expression tells us immediately that, as the value given to n approaches 0, the value of 1/n approaches infinity, and visa versa. 1/n → 0, as n ---> infinity 1/n → infinity, as n -> 0. Zero and infinity have an inverse proportional relationship around unity. The closer you get to one, the more you approach the other, yet one alone is all there is. In this sense, it can be stated that zero and infinity are the same in nature. ("Phil Langdon") 👁✝️👁

1:17:00 time delay - it will lead to solutions of standard wave equation, won't it? Standing harmonic waves in vacuum or on a string are shaped like that only after synchronization of all neighboring elements. I suppose that we can see two types of synchronization, one spreading with speed of information and another one that happens immediately. Example of the second case is the collapse of the wave function for two entangled electrons. It happens at the same time for both due to synchronization.