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比利时vs摩洛哥足彩 ,
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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