4 Dicembre, 2015 14:00

Seminario Matematico e Fisico di Milano

What are abelian varieties of dimension six?

Gavril Farkas, Humboldt Universitat Berlin

Sala di rappresentanza, Dipartimento di Matematica, Università degli Studi, Via C. Saldini 50

It is classically known that the general principally polarized abelian variety of dimension at most five is a Prym variety. This reduces the study of abelian varieties of small dimension to the beautifully
concrete and rich theory of algebraic curves.
I will discuss decisive recent progress on finding a structure theorem for
principally polarized abelian varieties of dimension six, and the implications this uniformization result has on the geometry of their
moduli space.