June 13, 2021
#190 – Jordan Ellenberg: Mathematics of High-Dimensional Shapes and Geometries
Lex Fridman PodcastAbout this episode
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/ YouTube Full Episodes: https://youtube.com/lexfridman YouTube Clips: https://youtube.com/lexclips SUPPORT & CONNECT: – Check out the sponsors above, it’s the best way to support this podcast – Support on Patreon: https://www.patreon.com/lexfridman – Twitter: https://twitter.com/lexfridman – Instagram: https://www.instagram.com/lexfridman – LinkedIn: https://www.linkedin.com/in/lexfridman – Facebook: https://www.facebook.com/lexfridman – Medium: https://medium.com/@lexfridman OUTLINE: Here’s the timestamps for the episode. On some podcast players you should be able to click the timestamp to jump to that time. (00:00) – Introduction (06:44) – Mathematical thinking (10:21) – Geometry (14:58) – Symmetry (25:29) – Math and science in the Soviet Union (33:09) – Topology (47:57) – Do we live in many more than 4 dimensions? (52:28) – How many holes does a straw have (1:01:53) – 3Blue1Brown (1:07:40) – Will AI ever win a Fields Medal? (1:16:05) – Fermat’s last theorem (1:33:23) – Reality cannot be explained simply (1:39:08) – Prime numbers (2:00:37) – John Conway’s Game of Life (2:12:29) – Group theory (2:15:45) – Gauge theory (2:23:47) – Grigori Perelman and the Poincare Conjecture (2:33:59) – How to learn math (2:41:08) – Advice for young people (2:43:13) – Meaning of life