Algebraic Cycles on Picarad Moduli Spaces of Abelian Varieties

GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS SEMINAR
Topic:Algebraic Cycles on Picarad Moduli Spaces of Abelian Varieties
Speaker:Michael Rapoport
Affiliation:University of Bonn
Date:Thursday, November 11
Time/Room:2:15pm - 3:15pm/S-101
Video Link:https://video.ias.edu/galois/rapoport

Picard moduli spaces parametrize principally polarized abelian varieties with complex multiplication by the ring of integers in an imaginary-quadratic field. The loci where the abelian varieties split off an elliptic curve in a controlled way are divisors on this moduli space. We study the intersection behaviour of these divisors and prove in the non-degenerate case a relation between their intersection numbers and Fourier coefficients of the derivative at s=0 of a certain incoherent Eisenstein series for the unitary group. This is joint work with Kudla.