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Hodge-Tate decomposition for abelian varieties with good reduction

Alex Bauman
Wednesday, September 17, 2025
2:30-3:30 PM
3088 East Hall Map
The Hodge-Tate decomposition for an abelian variety is a p-adic analogue of the Hodge decomposition of a complex algebraic variety which allows us to relate the étale cohomology of a variety to its Hodge cohomology groups. In this talk, we sketch a proof of this decomposition for H^1 of an abelian variety over a p-adic field with good reduction. The only prerequisites are the basic facts about p-adic fields and abelian varieties.
Building: East Hall
Event Type: Lecture / Discussion
Tags: Mathematics, Number Theory
Source: Happening @ Michigan from Student Number Theory Seminar - Department of Mathematics, Department of Mathematics