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

Jordan Ellenberg is a mathematician and author of Shape and How Not to Be Wrong. Please support this podcast by checking out our sponsors: - Secret Sauce: https://wondery.com/shows/secret-sauce/ - ExpressVPN: https://expressvpn.com/lexpod and use code LexPod to get 3 months free - Blinkist: https://blinkist.com/lex and use code LEX to get 25% off premium - Indeed: https://indeed.com/lex to get $75 credit 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: - Twitter: https://twitter.com/lexfridman - LinkedIn: https://www.linkedin.com/in/lexfridman - Facebook: https://www.facebook.com/lexfridman - Instagram: https://www.instagram.com/lexfridman - Medium: https://medium.com/@lexfridman - Reddit: https://reddit.com/r/lexfridman - Support on Patreon: https://www.patreon.com/lexfridman

Lex FridmanhostJordan Ellenbergguest
Jun 13, 20212h 41mWatch on YouTube ↗

CHAPTERS

  1. 0:00 – 1:01

    Introduction

  2. 1:01 – 4:38

    Mathematical thinking

  3. 4:38 – 9:15

    Geometry

  4. 9:15 – 19:46

    Symmetry

  5. 19:46 – 27:26

    Math and science in the Soviet Union

  6. 27:26 – 42:15

    Topology

  7. 42:15 – 46:45

    Do we live in many more than 4 dimensions?

  8. 46:45 – 56:11

    How many holes does a straw have

  9. 56:11 – 1:01:57

    3Blue1Brown

  10. 1:01:57 – 1:10:22

    Will AI ever win a Fields Medal?

  11. 1:10:22 – 1:27:41

    Fermat's last theorem

  12. 1:27:41 – 1:33:25

    Reality cannot be explained simply

  13. 1:33:25 – 1:54:54

    Prime numbers

  14. 1:54:54 – 2:06:46

    John Conway's Game of Life

  15. 2:06:46 – 2:10:03

    Group theory

  16. 2:10:03 – 2:18:05

    Gauge theory

  17. 2:18:05 – 2:28:17

    Grigori Perelman and the Poincare Conjecture

  18. 2:28:17 – 2:35:26

    How to learn math

  19. 2:35:26 – 2:37:31

    Advice for young people

  20. 2:37:31 – 2:41:47

    Meaning of life

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