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Nash won the Nobel prize in Economics for his 2-page proof of Nash equilibrium, among the slightest of his achievements. Nash’s truly staggering contributions were in his embedding theorems, according to Gromov “one of the main achievements of mathematics of the twentieth century”. In this excellent talk, Cédric Villani gives an accessible guide to these theorems for mere mortals. Villani is a Fields medal winner, a French politician, and a character, all of which adds to the talk.

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