SFB-Seminar (Teilprojekt C3)
Prof. Dr. Samuel Grushevsky, Prof. Dr. Gavril Farkas
4.1.2016, 14:00 Uhr – 17:00 Uhr
Moduli of abelian varieties: uniformization
Prof. Dr. Gavril Farkas (Humboldt U)
4.1.2016, 16:00 Uhr – 17:00 Uhr
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.