Sam Grushevsky, Princeton University

Intersection numbers of divisors on the moduli space of abelian varieties

We study the intersection numbers of divisors on toroidal compactifications 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<=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.

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