The Geometric Langlands Correspondence. Edward Frenkel is a renowned mathematician and professor at the University of California, Berkeley, known for his work in representation theory, algebraic geometry, and mathematical physics. Edward is also the author of the bestselling book “Love and Math: The Heart of Hidden Reality”, which bridges the gap between mathematics and the broader public.
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Listen on Spotify: https://open.spotify.com/show/4gL14b92xAErofYQA7bU4e
LINKS:
- Edward Frenkel'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 (free PDF with hyperlinks): Langlands Correspondence for Loop Groups 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
- Lucas Cardoso's Website: https://lucas-cardoso.weebly.com
- Edward Frenkel's 1st TOE Episode: https://www.youtube.com/watch?v=n_oPMcvHbAc
- "Proof of the Geometric Langlands Conjecture" (Paper): https://people.mpim-bonn.mpg.de/gaitsgde/GLC/
- Frenkel-Witten Paper: https://arxiv.org/abs/0710.5939
- Frenkel-Langlands-Ngo Paper: https://arxiv.org/abs/1003.4578
Timestamps:
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 TOE
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