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Episode description
#190 – Jordan Ellenberg: Mathematics of High-Dimensional Shapes and Geometries
Lex Fridman Podcast
Jun 13, 2021
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3 hr 47 min
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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: - Secret Sauce:
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and use code LEX to get 25% off premium - Indeed:
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to get $75 credit EPISODE LINKS: Jordan's Website:
http://www.jordanellenberg.com
Jordan's Twitter:
https://twitter.com/JSEllenberg
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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