# Stefano Marseglia: Isomorphism classes of abelian varieties over finite field

**Time: **
Wed 2020-03-04 11.00 - 12.00

**Lecturer: **
Stefano Marseglia, Utrecht

**Location: **
Kräftriket, house 5, room 31

### Abstract

There are well known equivalence between the category of abelian varieties over a finite field and the category of finitely generated free abelian groups with a Frobenius-like endomorphism. In this talk we will give an effective version of such equivalences which under certain assumptions on the isogeny class will allow us to compute the isomorphism classes of the abelian varieties with extra structures they carry, like polarizations, automorphism groups and period matries.