Jordan Ellenberg: Mathematics of High-Dimensional Shapes and Geometries | Lex Fridman Podcast #190

ℹ️ EPISODE INFO

Released

June 13, 2021

Duration

2h 41m

Channel

Lex Fridman Podcast

Watch on YouTube

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📝 EPISODE DESCRIPTION

Jordan Ellenberg is a mathematician and author of Shape and How Not to Be Wrong. Please support this podcast by checking out our sponsors:

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EPISODE LINKS: Jordan's Website: http://www.jordanellenberg.com Jordan's Twitter: https://twitter.com/JSEllenberg PODCAST INFO: Podcast website: https://lexfridman.com/podcast Apple Podcasts: https://apple.co/2lwqZIr Spotify: https://spoti.fi/2nEwCF8 RSS: https://lexfridman.com/feed/podcast/ Full episodes playlist: https://www.youtube.com/playlist?list=PLrAXtmErZgOdP_8GztsuKi9nrraNbKKp4 Clips playlist: https://www.youtube.com/playlist?list=PLrAXtmErZgOeciFP3CBCIEElOJeitOr41 OUTLINE: 0:00 - Introduction 1:01 - Mathematical thinking 4:38 - Geometry 9:15 - Symmetry 19:46 - Math and science in the Soviet Union 27:26 - Topology 42:15 - Do we live in many more than 4 dimensions? 46:45 - How many holes does a straw have 56:11 - 3Blue1Brown 1:01:57 - Will AI ever win a Fields Medal? 1:10:22 - Fermat's last theorem 1:27:41 - Reality cannot be explained simply 1:33:25 - Prime numbers 1:54:54 - John Conway's Game of Life 2:06:46 - Group theory 2:10:03 - Gauge theory 2:18:05 - Grigori Perelman and the Poincare Conjecture 2:28:17 - How to learn math 2:35:26 - Advice for young people 2:37:31 - Meaning of life SOCIAL:

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🎤 SPEAKERS

• Lex Fridman

  host

• Jordan Ellenberg

  guest

🧾 EPISODE SUMMARY

In this episode of Lex Fridman Podcast, featuring Lex Fridman and Jordan Ellenberg, Jordan Ellenberg: Mathematics of High-Dimensional Shapes and Geometries | Lex Fridman Podcast #190 explores geometry, Symmetry, and Higher Dimensions: Math as Human Exploration Lex Fridman and mathematician Jordan Ellenberg explore how geometry, symmetry, and high-dimensional spaces illuminate both pure mathematics and real-world phenomena. They discuss the relationship between language, visualization, and mathematical thought, using examples from simple shapes, prime numbers, topology, and Poincaré’s work on higher dimensions.

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