Theories of Everything with Curt Jaimungal
| Rethinking the Foundations of Physics | Neil Turok @TheoriesofEverything | Uploaded 3 hours ago | Updated 3 hours ago
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Rethinking the Foundations of Physics | Neil Turok @TheoriesofEverything
![Geometric Langlands: The Largest Breakthrough in Math in Decades [Part 2]](https://i.ytimg.com/vi/0AC-Ol1z5vI/hqdefault.jpg "Geometric Langlands: The Largest Breakthrough in Math in Decades [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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Edward Frenkel’s previous lecture on TOE [Part 1]: https://www.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: https://amzn.to/4evbBkS
LINKS:
• Edward Frenkels Part 1 on TOE for the Langlands Program: https://youtu.be/RX1tZv_Nv4Y
• Edward Frenkels Twitter: https://x.com/edfrenkel
• Edward Frenkels Official Website: https://edwardfrenkel.com
• Edward Frenkels YouTube: https://youtube.com/@edfrenkel
• Edward Frenkels Instagram: https://www.instagram.com/edfrenkel
• Edward Frenkels Linkedin https://www.linkedin.com/in/edfrenkel/
• Edward Frenkel’s SoundCloud (DJ Moonstein): https://soundcloud.com/moonstein
• Edward Frenkels 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
• Edward Frenkel’s more technical survey of the Langlands Program with applications to Quantum Physics: https://arxiv.org/abs/hep-th/0512172
• 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
• Richard Borcherds on TOE: https://www.youtube.com/watch?v=U3pQWkE2KqM
• Edward Frenkels book Love and Math: https://amzn.to/4evbBkS
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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
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