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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 209 - Number Theory
Peter Wear
UCSD
Perfectoid covers of abelian varieties and the weight-monodromy conjecture
Abstract:
The theory of perfectoid spaces was initially developed by Scholze to prove new cases of the weight-monodromy conjecture. He constructed perfectoid covers of toric varieties that allowed him to translate results from characteristic p to characteristic 0. We will give an overview of Scholze's method, then explain how to use an analogous construction for abelian varieties to prove the weight-monodromy conjecture for complete intersections in abelian varieties.
October 31, 2019
2:00 PM
AP&M 7321
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