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Number Theory Seminar

Thursday, November 14, 2019
4:00pm to 5:00pm
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Linde Hall 387
Perfectoid covers of abelian varieties and the weight-monodromy conjecture
Peter Wear, Department of Mathematics, UC San Diego,

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.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].