Printable PDF
Department of Mathematics,
University of California San Diego

****************************

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

****************************