Edward Frenkel: The Math Proof No One Could Explain Until Now

Edward Frenkel: The Math Proof No One Could Explain Until Now

Edward Frenkel, a leading mathematician at UC Berkeley, explains the Langlands program, its ties to physics, and the search for a single unifying formula. He also shares his personal journey from representation theory to making math accessible to the public.- 00:00 - Intro- 02:14 - Edward’s Background- 07:04 - Robert Langlands- 15:01 - Physics vs. Mathematics- 34:14 - Unification in Math- 45:48 - What Does Math Actually Describe?- 01:02:57 - Langlands Program- 01:22:08 - Counting Problem- 01:25:55 - Harmonic Analysis- 01:33:58 - “One Formula Rules Them All”- 01:51:58 - The Shimura-Taniyama-Weil Conjecture- 01:55:55 - Original Langlands Program- 02:01:22 - A Twist: Langlands Dual Group- 02:01:55 - Rosetta Stone of Math- 02:11:33 - The Pleasure Comes From The Illusion- 02:14:28 - Support TOESPONSORS:- Patreon: https://patreon.com/curtjaimungal (early access to ad-free audio episodes!)- Crypto: https://tinyurl.com/cryptoTOE- PayPal: https://tinyurl.com/paypalTOE- TOE Merch: https://tinyurl.com/TOEmerchRESOURCES:- YouTube Episode Link: https://youtu.be/RX1tZv_Nv4Y- Become a YouTube Member Here: https://www.youtube.com/channel/UCdWIQh9DGG6uhJk8eyIFl1w/join- Join TOEmail at https://www.curtjaimungal.org- Edward Frenke's book "Love & Math": https://amzn.to/4dB1URv- Edward Frenkel's book “Langlands Correspondence for Loop Groups”*: https://amzn.to/3Am99xX- Edward Frenkel's ebook (PDF with hyperlinks)*: https://math.berkeley.edu/~frenkel/loop.pdf- Edward Frenkel's Official Website*: https://edwardfrenkel.com- Edward Frenkel's Twitter*: https://twitter.com/edfrenkel- Edward Frenkel's YouTube*: https://www.youtube.com/edfrenkel- Edward Frenkel's Instagram*: https://www.instagram.com/edfrenkel- Instagram: https://www.instagram.com/theoriesofeverythingpod- TikTok: https://www.tiktok.com/@theoriesofeverything_- 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- Pandora: https://pdora.co/33b9lfP- Spotify: https://open.spotify.com/show/4gL14b92xAErofYQA7bU4e- Subreddit r/TheoriesOfEverything: https://reddit.com/r/theoriesofeverything Theories of Everything with Curt Jaimungal features long-form, technically detailed interviews with leading researchers in physics, mathematics, consciousness, and philosophy, exploring topics at the level of active research. For academics, graduate students, and anyone seeking depth beyond popular science. SPONSOR: I subscribe to The Economist for their science and tech coverage. As a TOE listener, get 35% off! No other podcast has this: https://economist.com/TOE FOLLOW: Substack | Spotify | YouTube | Twitter Learn more about your ad choices. Visit megaphone.fm/adchoices Learn more about your ad choices. Visit megaphone.fm/adchoices

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Curt Jaimungal: Consciousness, Irreducibility, and the Local to Global

Curt Jaimungal: Consciousness, Irreducibility, and the Local to Global

Why can't local agreement scale to global truth? At the Mind at Large consciousness conference, hosted by the Center for Process Studies, I make the case using sheaf theory and physics — breaking down...

22 Apr 1h

George Ellis: Hawking's Co-Author on Why Reductionism Is Dead

George Ellis: Hawking's Co-Author on Why Reductionism Is Dead

SPONSORS: - Sign up for Claude today at https://Claude.ai/theoriesofeverything and checkout Claude Pro — which includes access to all of the features mentioned in today's episode - Go to https://short...

20 Apr 1h 35min

Aephraim Steinberg: The Physicist Who Measured Negative Time

Aephraim Steinberg: The Physicist Who Measured Negative Time

SPONSORS: - Go to https://expressvpn.com/theoriesofeverythingyt to find out how you can get up to 4 extra months thanks to our sponsor, ExpressVPN - Accelerate your efficiency. Sign up for your one-do...

13 Apr 2h 27min

Curt Jaimungal: Why You Are Brighter Than You Think

Curt Jaimungal: Why You Are Brighter Than You Think

SPONSORS: - Go to https://shortform.com/toe for a free trial and an exclusive $50 OFF on your annual subscription - I subscribe to The Economist for their science and tech coverage. As a TOE listener,...

10 Apr 15min

Curt Jaimungal: What Is Infinity, Actually?

Curt Jaimungal: What Is Infinity, Actually?

For much of history, many mathematicians—following thinkers like Aristotle—viewed infinity as a never-ending process rather than a completed object. In the late 19th century, Georg Cantor revolutioniz...

7 Apr 17min

Emily Riehl Makes Infinity Categories Elementary

Emily Riehl Makes Infinity Categories Elementary

Emily Riehl, one of the world’s leading category theorists, shares her vision for making infinity category theory something undergrads can actually learn. In this talk, she breaks down how rethinking ...

6 Apr 2h 49min

Renato Renner: Quantum Mechanics Contains Its Own Contradictions

Renato Renner: Quantum Mechanics Contains Its Own Contradictions

Renato Renner (ETH Zurich) proves quantum mechanics contains logical contradictions that undermine its foundations.Quantum theory may be the most successful theory in history — and Renato Renner has p...

30 Mars 3h 26min

Jenny Wagner: What If We've Been Wrong About Dark Matter For Decades?

Jenny Wagner: What If We've Been Wrong About Dark Matter For Decades?

Jenny Wagner examines the inverse problem: how to map dark matter without assuming what it is.What if 85% of the universe's matter isn't missing — it's just that our models were never clean enough to ...

26 Mars 2h 38min

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