Monumental Breakthrough in Mathematics (Part 2) | Edward Frenkel
10/02/24 • 140 min
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:
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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):
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Subreddit r/TheoriesOfEverything: https://reddit.com/r/theoriesofeverything
#science #physics #math #podcast #sciencepodcast #maths
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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
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Previous Episode
20th Century’s Greatest Living Scientist | Sir Roger Penrose
Sir Roger Penrose is a renowned physicist and mathematician known for pioneering the theory of twistors and his contributions to differential geometry, which have significantly impacted our understanding of space-time. Roger's work has been instrumental in advancing theories related to general relativity and quantum mechanics, including the Penrose-Hawking singularity theorems.
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Join TOE's Newsletter 'TOEmail' at https://www.curtjaimungal.org
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
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TIMESTAMPS:
00:00 - Intro
01:22 - Cosmology and Twister Theory
15:00 - “Most Significant Thought I Had”
20:45 - “Twister Are Inherently Chiral”
25:34 - Extra Dimensions
27:02 - Algebraic and Differential Geometry
37:57 - Alexander Grothendieck
40:36 - Gravity and Quantum Mechanics
43:00 - Collapse of the Wave Function
53:04 - Gravitational Fields and the Wave Function
01:11:02 - Free Will
01:14:03 - Is the Universe Discrete or Continuous?
01:16:35 - Ai’s Capabilities
01:19:09 - Many Worlds Theory
01:20:38 - Idealism
01:21:35 - CCC
01:23:31 - Roger’s Legacy
01:33:25 - Outro / Support TOE
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 #penrose #quantumphysics #theoreticalphysics
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Next Episode
Fall Asleep to Physics Theories 10 Hours ★︎ World's Top Theoretical Physicists ★︎ Sleep Playlist
Fall Asleep to Theoretical Physics Theories
SPONSOR: 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
CHAPTERS:
Roger Penrose - Collapse of the Wave Function
Stephen Wolfram - Observer Theory
Brian Greene - Faster Than Light Travel and Wormholes
Sean Carroll - Crisis in Physics
Lee Smolin - Thick Time
Neil Turok - Fields and Particles
Garrett Lisi - Unification, Spinors, Fermions
Roger Penrose - Cosmology and Twistor Theory
Jonathan Oppenehim - Observation Causes a Collapse
Wolfram/Hoffman - Entropy
Ivette Fuentes - Current Developments in Physics
Jonathan Oppenheim - Quantum Mechanics and Quantizing Gravity
Ivette Fuentes - Quantum Theory and Relativity
Carlo Rovelli - Quantum Mechanics
Cumrun Vafa - Swampland (String Theory)
Sean Carroll - Big Bang, Boltzman, Holography
Cumrun Vafa - Swampland (Continued)
Tim Palmer - General Relativity and Quantum Mechanics
Neil Turok - Singularity (Black Hole vs. Big Bang)
Stephen Wolfram - Beliefs Dictate Laws of Physics
Neil Turok - Unification, Spacetime, Time
Tim Palmer - Infinity
Wolfram/Hoffman - Ruliad and Consciousness
Fay Dowker - Causal Set Theory
Jonathan Gorard - Constructor Theory
Chiara Marletto - Constructor Theory
Peter Woit - Twistor Theory
Lawrence Krauss - Quantum Fluctuations
Tim Palmer and Tim Maudlin - Quantum Mechanics & Bell's Theorem
Stephon Alexander - Autodidactic Universe
Thomas Campbell - Theory of Everything
Bernardo and Sabine - Superdeterminism
Sabine - Superdeterminism and Bell’s Inequality
Salvatore Pais - Superforce / Plank Force
Chris Langan - CTMU
Tim Maudlin - Superdeterminism and Retrocausality
Links to Main Episodes:
Penrose: https://youtu.be/sGm505TFMbU?list=PLZ7ikzmc6zlMhlVNkx2c8_6CKqiimjgvy
Garrett: https://youtu.be/z7ulJmfFvd8?list=PLZ7ikzmc6zlMhlVNkx2c8_6CKqiimjgvy
Oppenheim: https://youtu.be/6Z_p3viqW1g?list=PLZ7ikzmc6zlMhlVNkx2c8_6CKqiimjgvy
Ivvette: https://youtu.be/cUj2TcZSlZc?list=PLZ7ikzmc6zlMhlVNkx2c8_6CKqiimjgvy
Carroll: https://youtu.be/9AoRxtYZrZo?list=PLZ7ikzmc6zlMhlVNkx2c8_6CKqiimjgvy
Cumrun: https://youtu.be/kUHOoMX4Bqw?list=PLZ7ikzmc6zlMhlVNkx2c8_6CKqiimjgvy
Turok: https://youtu.be/-gwhqmPqRl4?list=PLZ7ikzmc6zlMhlVNkx2c8_6CKqiimjgvy
Tim Palmer: https://youtu.be/vlklA6jsS8A?list=PLZ7ikzmc6zlMhlVNkx2c8_6CKqiimjgvy
Hoffman/Wolfram: https://youtu.be/1m7bXNH8gEM?list=PLZ7ikzmc6zlMhlVNkx2c8_6CKqiimjgvy
Fay Dowker: https://youtu.be/PgYHEPCLVas?list=PLZ7ikzmc6zlMhlVNkx2c8_6CKqiimjgvy
Neil Turok First Episode: https://youtu.be/ZUp9x44N3uE?list=PLZ7ikzmc6zlMhlVNkx2c8_6CKqiimjgvy
Gorard: https://youtu.be/ioXwL-c1RXQ?list=PLZ7ikzmc6zlMhlVNkx2c8_6CKqiimjgvy
Wolfram: https://youtu.be/0YRlQQw0d-4?list=PLZ7ikzmc6zlMhlVNkx2c8_6CKqiimjgvy
Lee Smolin: https://youtu.be/uOKOodQXjhc?list=PLZ7ikzmc6zlMhlVNkx2c8_6CKqiimjgvy
Chiara: https://youtu.be/40CB12cj_aM?list=PLZ7ikzmc6zlMhlVNkx2c8_6CKqiimjgvy
Peter Woit: https://youtu.be/9z3JYb_g2Qs?list=PLZ7ikzmc6zlMhlVNkx2c8_6CKqiimjgvy
Krauss: https://youtu.be/g12qyToQ4gI?list=PLZ7ikzmc6zlMhlVNkx2c8_6CKqiimjgvy
Maudlin/Palmer: https://youtu.be/883R3JlZHXE
Stephon Alexander: https://youtu.be/VETxb96a3qk?list=PLZ7ikzmc6zlMhlVNkx2c8_6CKqiimjgvy
Campbell: https://youtu.be/kko-hVA-8IU?list=PLZ7ikzmc6zlMhlVNkx2c8_6CKqiimjgvy
Bernardo and Sabine: https://youtu.be/kJmBmopxc1k?list=PLZ7ikzmc6zlMhlVNkx2c8_6CKqiimjgvy
Brian Greene: https://youtu.be/O2EtTE9Czzo?list=PLZ7ikzmc6zlMhlVNkx2c8_6CKqiimjgvy
Sabine: https://youtu.be/walaNM7KiYA?list=PLZ7ikzmc6zlMhlVNkx2c8_6CKqiimjgvy
Salvatore Pais: https://youtu.be/5E6QyAhTB3o?list=PLZ7ikzmc6zlMhlVNkx2c8_6CKqiimjgvy
Chris Langan: https://youtu.be/N-bRM1kYuNA?list=PLZ7ikzmc6zlMhlVNkx2c8_6CKqiimjgvy
Tim Maudlin: https://youtu.be/fU1bs5o3nss?list=PLZ7ikzmc6zlMhlVNkx2c8_6CKqiimjgvy
Support TOE on Patreon: https://patreon.com/curtjaimungal (early access to ad-free audio episodes!)
#science #sleep
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