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Berkeley-Caltech-Stanford Joint Number Theory Seminar

Monday, October 18, 2021
12:30pm to 1:30pm
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On p-adic uniformization of abelian varieties with good reduction
Jackson Morrow, Department of Mathematics, 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.

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