Monumental Breakthrough in Mathematics [Part 2]

Edward Frenkel is a renowned mathematician, professor of University of California, Berkeley, member of the American Academy of Arts and Sciences, and winner of the Hermann Weyl Prize in Mathematical Physics. In this episode, Edward Frenkel discusses the recent monumental proof in the Langlands program, explaining its significance and how it advances understanding in modern mathematics.

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TIMESTAMPS:
00:00 - Introduction
01:15 - Discoveries in Mathematics
04:31 - Langland’s Program
11:02 - Counting Problem
14:58 - Symmetries of the Unit Disc
26:55 - Part 1 of Edward’s Talk
30:20 - Shimura-Taniyama-Weil Conjecture
40:02 - Quick Recap
42:38 - Langlands Dual Group
51:50 - Rosetta Stone of Math
01:00:10 - Riemann Surfaces
01:10:20 - Proof of the Geometric Langlands Conjecture
01:21:42 - Tribute to Legends
01:26:02 - Langlands Correspondence for Riemann Surface
01:43:30 - Galois Groups
01:53:33 - Other Objects Involved
02:10:40 - Outro / Support TOE

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#science #physics #math #podcast #sciencepodcast #maths

[TheoriesofEverything]

TIMESTAMPS:
00:00 - Introduction
01:15 - Discoveries in Mathematics
04:31 - Langland’s Program
11:02 - Counting Problem
14:58 - Symmetries of the Unit Disc
26:55 - Part 1 of Edward’s Talk
30:20 - Shimura-Taniyama-Weil Conjecture
40:02 - Quick Recap
42:38 - Langlands Dual Group
51:50 - Rosetta Stone of Math
01:00:10 - Riemann Surfaces
01:10:20 - Proof of the Geometric Langlands Conjecture
01:21:42 - Tribute to Legends
01:26:02 - Langlands Correspondence for Riemann Surface
01:43:30 - Galois Groups
01:53:33 - Other Objects Involved
02:10:40 - Outro / Support TOE

[quantumkath]

Edward Frenkel's last appearance on TOE compelled me to read his book Love & Math. Now I understand even more of what he's saying in Part 2.

[Cosmiccuriosity__c]

Need more of Edward on YouTube! Always wins

[LUCASTAVARESCARDOSO]

I believe everyone was eagerly waiting for this part 2. Congrats!

[prathammdupare]

I was studying for my exam tomorrow, and this popped up in my feed, should I study or watch this interesting stuff 😂

[nemethdaniel]

At the 21'th minute, when the guest said "it would diverge like 1+2+3+..." I was like "wait, isn't it just -1/12 "? :D

[oudekraal]

Geometric solutions got my attention and 5 minutes in I feel like a language junkie wanting the next mathematical fix

[bvqyckk]

Unification programs such as Langlands serve to understand the unification concept in complete mathematical depth. Which affects physics, QFT is not a complete and integrated unification theory, for example. But we dream of creating an integrated and complete theory of QG gravity that will depend on our mathematical understanding of the unifying concept.

[Michael-ntme]

...Number, Form and Art....

...
Art
Idea
Logic
Reason
Science
Technology
and
Visioneering
....

up through ...Sense, Reason and Imagination....

[KaliFissure]

Ooh, all the other numbers are intersections.
I've been playing with this on graph paper.
Only primes on the 1 row
All the even numbers in the 2 row since they all have 2 as smaller prime composite.
Then the numbers, which are a prime x 3 etc.
Making a prime identity the imaginary axis

[RSCa]

Is this a re-upload or updates since their last interview?

[giovannironchi]

I wonder which role will infinity-category theory, homotopy theory and the spectral schemes of Lurie have

I only studied Differential graded categories, I know they are used by geometers to enhance triangulated categories

[randomchannel-pxho]

How might geometric langlands correspodence being the same thing as s duality in twisted supersymmettic yang mills be applied to our understanding of real physical systems?

[KineHjeldnes]

are those intervals on the unit disc hypocycloids?

[FilebertCroft]

Great content, as always! I need some advice: My OKX wallet holds some USDT, and I have the seed phrase. (behave today finger ski upon boy assault summer exhaust beauty stereo over). How can I transfer them to Binance?

[KaliFissure]

Isn't that the comb seive method of finding primes?
Harmonic.
All the multiples of numbers AREN'T prime.