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Presented By: Student Algebraic Geometry Seminar - Department of Mathematics

Hodge-Tate decomposition for abelian varieties with good reduction

Alexander Bauman

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.

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