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#190 – Jordan Ellenberg: Mathematics of High-Dimensional Shapes and Geometries
Lex Fridman Podcast
Is There Interesting Insights From Angela Wiles's Proof?
At its heart is an argument of what's called deformation theory, which was in part created by my PhD advisor, Barry Maser. Deformation means moving something just a tiny bit, like an infinitesimal amount. And essentially, their argument comes down to showing that two of those big global spaces are actually the same. The notion of distance is not given to us by God. We could mean a lot of different things by distance. It doesn't have anything to do with it. In this kind of number theory, there was a crazy distance called the periodic distance. There're lots of notions of distance that you could use in the natural language processing community and AI.
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