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Speaker:

Marco D'Addezio
Affiliation:

MPIM
Date:

Tue, 02/06/2020 - 14:00 - 15:00
Parent event:

Seminar on Algebra, Geometry and Physics https://bbb.mpim-bonn.mpg.de/b/gae-a7y-hhd

I will present a new result on torsion points of abelian varieties. This is obtained by exploiting both the theory of F-isocrystals and the theory of Tannakian categories. Since I do not assume the audience is familiar with these concepts, during the talk, I will rapidly recall what abelian varieties, F-isocrystals, and Tannakian categories are. In the end, we will see how the original problem can be translated to a problem of representions of certain algebraic groups, called the monodromy groups of the F-isocrystals. This is a joint work with Emiliano Ambrosi.

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