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#190 – Jordan Ellenberg: Mathematics of High-Dimensional Shapes and Geometries

#190 – Jordan Ellenberg: Mathematics of High-Dimensional Shapes and Geometries

Lex Fridman Podcast vor 5 Jahren

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.

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2:47:26

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:

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SUPPORT & CONNECT:

– Check out the sponsors above, it’s the best way to support this
podcast

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– 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