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Sjoerd de Vries: Abelian varieties over finite fields

Tid: Fr 2021-11-05 kl 13.15 - 14.15

Plats: Kräftriket, House 5, Room 32

Medverkande: Sjoerd de Vries (Stockholms Universitet)

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Abstract

We will give a down-to-earth introduction to algebraic geometry over finite fields, with a particular focus on abelian varieties. Abelian varieties have many interesting properties, some of which we will discuss. In particular, we will focus on their endomorphism rings and introduce the notion of an isogeny, which will lead to a beautiful classification of isogeny classes of abelian varieties over finite fields. Time permitting, we will explain the relationship between this classification theorem and the Weil conjectures.