Intro

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 Herman 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.

SPONSOR (THE ECONOMIST): As a listener of TOE you can get a special 20% off discount to The Economist and all it has to offer! Visit https://www.economist.com/toe

Check out Edward Frenkel's New York Times Bestselling book "Love and Math" at https://amzn.to/4gPAVn1.

Also, please consider following Edward on Linkedin at https://www.linkedin.com/in/edfrenkel/

LINKS:

•⁠ Edward Frenkel's Twitter: https://x.com/edfrenkel

•⁠ ⁠Edward Frenkel's Official Website: https://edwardfrenkel.com

•⁠ Edward Frenkel's YouTube: https://youtube.com/@edfrenkel

•⁠ Edward Frenkel's Instagram: https://www.instagram.com/edfrenkel

•⁠ Edward Frenkel’s SoundCloud (DJ Moonstein): https://soundcloud.com/moonstein

•⁠ ⁠Edward Frenkel's 1st TOE Episode: https://www.youtube.com/watch?v=n_oPMcvHbAc

•⁠ Andre Weil’s letter on “Rosetta Stone” of Math: https://www.ams.org/notices/200503/fea-weil.pdf

•⁠ ⁠"Proof of the Geometric Langlands Conjecture" (Papers): https://people.mpim-bonn.mpg.de/gaitsgde/GLC/

•⁠ Etingof-Frenkel-Kazhdan, “A general framework for the Analytic Langlands Correspondence” https://arxiv.org/abs/2311.03743

•⁠ Yuri Manin’s book “Mathematics and Physics”: https://www.amazon.com/Mathematics-Physics-Progress-Mathematical/dp/1489967842

•⁠ Edward Frenkel’s papers: https://edwardfrenkel.com/frenkel-biblio.pdf

•⁠ Edward Frenkel’s previous lecture on TOE (Part 1): https://www.youtube.com/watch?v=RX1tZv_Nv4Y

•⁠ Mathematics and Physics (book): https://www.amazon.com/Mathematics-Physics-Progress-English-Russian/dp/3764330279

•⁠ Richard Borcherds on TOE: https://www.youtube.com/watch?v=U3pQWkE2KqM

TOE'S TOP LINKS:

- Support TOE on Patreon: https://patreon.com/curtjaimungal (early access to ad-free audio episodes!)

- Listen to TOE on Spotify: https://open.spotify.com/show/4gL14b92xAErofYQA7bU4e

- Become a YouTube Member Here:

https://www.youtube.com/channel/UCdWIQh9DGG6uhJk8eyIFl1w/join

- Join TOE's Newsletter 'TOEmail' at https://www.curtjaimungal.org

TIMESTAMPS:

00:00 - Edward’s Previous Appearance on TOE

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

SPONSORS (please check them out to support TOE):

- THE ECONOMIST: As a listener of TOE, you can now enjoy full digital access to The Economist. Get a 20% off discount by visiting: https://www.economist.com/toe

- INDEED: Get your jobs more visibility at https://indeed.com/theories ($75 credit to book your job visibility)

- HELLOFRESH: For FREE breakfast for life go to https://www.HelloFresh.com/freetheoriesofeverything

- PLANET WILD: Want to restore the planet's ecosystems and see your impact in monthly videos? The first 150 people to join Planet Wild will get the first month for free at https://planetwild.com/r/theoriesofeverything/join or use my code EVERYTHING9 later.

Other Links:

- Twitter: https://twitter.com/TOEwithCurt

- Discord Invite: https://discord.com/invite/kBcnfNVwqs

- iTunes: https://podcasts.apple.com/ca/podcast/better-left-unsaid-with-curt-jaimungal/id1521758802

- Subreddit r/TheoriesOfEverything: https://reddit.com/r/theoriesofeverything

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

Learn more about your ad choices. Visit megaphone.fm/adchoices