Theories of Everything with Curt Jaimungal | Geometric Langlands: The Largest Breakthrough in Math in Decades [Part 2] @TheoriesofEverything | Uploaded 1 week ago | Updated 1 hour ago
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.

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 economist.com/toe

Edward Frenkel’s previous lecture on TOE [Part 1]: youtube.com/watch?v=RX1tZv_Nv4Y

Check out Edward Frenkel’s New York Times Bestselling book “Love and Math” which covers a lot of material in this video: amzn.to/4evbBkS

LINKS:
• Edward Frenkel's Part 1 on TOE for the Langlands Program: youtu.be/RX1tZv_Nv4Y
•⁠ Edward Frenkel's Twitter: https://x.com/edfrenkel
•⁠ ⁠Edward Frenkel's Official Website: edwardfrenkel.com
•⁠ Edward Frenkel's YouTube: youtube.com/@edfrenkel
•⁠ Edward Frenkel's Instagram: instagram.com/edfrenkel
•⁠ Edward Frenkel's Linkedin linkedin.com/in/edfrenkel
•⁠ Edward Frenkel’s SoundCloud (DJ Moonstein): soundcloud.com/moonstein
•⁠ ⁠Edward Frenkel's 1st TOE Episode: youtube.com/watch?v=n_oPMcvHbAc
•⁠ Andre Weil’s letter on “Rosetta Stone” of Math: 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” arxiv.org/abs/2311.03743
•⁠ Edward Frenkel’s more technical survey of the Langlands Program with applications to Quantum Physics: arxiv.org/abs/hep-th/0512172
•⁠ Yuri Manin’s book “Mathematics and Physics”: amazon.com/Mathematics-Physics-Progress-Mathematical/dp/1489967842
•⁠ Edward Frenkel’s papers: edwardfrenkel.com/frenkel-biblio.pdf
•⁠ Richard Borcherds on TOE: youtube.com/watch?v=U3pQWkE2KqM
•⁠ Edward Frenkel's book "Love and Math": amzn.to/4evbBkS

TOE'S TOP LINKS:
- Support TOE on Patreon: patreon.com/curtjaimungal (early access to ad-free audio episodes!)
- Listen to TOE on Spotify: open.spotify.com/show/4gL14b92xAErofYQA7bU4e
- Become a YouTube Member Here:
youtube.com/channel/UCdWIQh9DGG6uhJk8eyIFl1w/join
- Join TOE's Newsletter 'TOEmail' at curtjaimungal.org

TIMESTAMPS:
00:00 - Introduction
01:15 - Discoveries in Mathematics
04:31 - Langlands 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: economist.com/toe
- INDEED: Get your jobs more visibility at 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 planetwild.com/r/theoriesofeverything/join or use my code EVERYTHING9 later.

Other Links:
- Twitter: twitter.com/TOEwithCurt
- Discord Invite: discord.com/invite/kBcnfNVwqs
- iTunes: podcasts.apple.com/ca/podcast/better-left-unsaid-with-curt-jaimungal/id1521758802
- Subreddit r/TheoriesOfEverything: reddit.com/r/theoriesofeverything

#science #math #podcast #sciencepodcast #maths