# On p-adic uniformization of abelian varieties with good reduction

## Location

Zoom

Monday, October 18, 2021 12:30 PM

Jackson Morrow (UC Berkeley)

Investigating the p-adic integration map constructed by J.-M. Fontaine during the 90's, which is the main tool for proving the Hodge--Tate decomposition of the Tate module of an abelian variety over a p-adic field, we realized that the group of p-adic points of the above-named abelian variety, satisfying certain hypothesis, has a type of p-adic uniformization which was not remarked before. This is joint work with A. Iovita and A. Zaharescu