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From almost purity to functional analysis

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Speaker: 
Peter Scholze
Affiliation: 
Universität Bonn/MPIM
Date: 
Wed, 2019-08-07 14:30 - 15:45
Location: 
MPIM Lecture Hall
Parent event: 
Special colloquium

Faltings' almost purity theorem asserts that, in p-adic geometry, things become simpler when passing to certain highly ramified, largely non-geometric, coverings. The coverings in question are somewhat akin to covering an interval by a Cantor set. I will show how embracing this idea has led us (with Dustin Clausen) to recast the basic notions of topology, leading to a better setup in which to do algebra with topological groups.

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