SFB-Seminar (Teilprojekt C3)
Prof. Dr. Samuel Grushevsky, Prof. Dr. Gavril Farkas
5.1.2016, 15:00 Uhr – 18:00 Uhr
Moduli of abelian varieties: homology and compactifications
Prof. Dr. Samuel Grushevsky (Stony Brook University)
5.1.2016, 15:30 Uhr – 16:30 Uhr
Complex abelian varieties are algebraic complex tori that appear in various problems of geometric and arithmetic nature. Thus classifying abelian varieties is a natural problem. In this talk we will survey the knowledge of the geometry of the moduli space of abelian varieties, including geometrically defined subvarieties, homology classes, intersection rings. These questions will naturally lead us to study compactifications of the moduli spaces, and we will discuss the stable and tautological homology for these moduli spaces.