Samuel Grushevsky

Intersection numbers of divisors on the moduli space of abelian varieties

Abstract: We study the intersection numbers of divisors on the perfect cone toroidal compactification of the moduli space $A_g$ of principally polarized abelian varieties. It seems that most of these intersection numbers are zero, with only those essentially coming from top intersections on $A_k$ for $k\le g$ being non-zero. We discuss the approaches to and partial results in proving this, computing the non-zero numbers, and generalizing to other symmetric domains. This is joint work with C. Erdenberger and K.Hulek.