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Monumental Breakthrough in Mathematics (Part 2) | Edward Frenkel
Theories of Everything with Curt Jaimungal
Oct 02, 2024
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2 hr 20 min
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Episode description
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
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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 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:
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Monumental Breakthrough in Mathematics (Part 2) | Edward Frenkel | Theories of Everything with Curt Jaimungal podcast - Listen or read transcript on Metacast
