Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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What are abelian varieties of dimension six?

Gavril Farkas

created by tortorella on 06 Dec 2015

9 dec 2015 -- 12:00

Sala Conferenze Tricerri, DiMaI "Dini", Università di Firenze

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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.

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