Geometria Analityczna i Algebraiczna

Organizers: Sławomir Cynk, Piotr Tworzewski
Usual time and place: poniedziałek, 12:15-13:45, sala 0006
event-date: 28.03.2011
Speaker: Matthias Shuett (Hannower)
Title of the talk: Shimura varieties for abelian fourfolds with an automorphism of order five
Abstract: I will report on joint work with Bert van Geemen concerning moduli of principally polarised abelian fourfolds with an automorphism of order five. This moduli problem gives rise to a compact Shimura curve and a Shimura surface. I will explain a new technique to exhibit explicit projective models for them. The Shimura varieties possess a rich arithmetic structure that will be described in detail.