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.
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• 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
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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
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