Topic: Algebraic Cycles on Picard Moduli Spaces of Abelian Varieties

Speaker: Michael Rapoport

Affiliation: University of Bonn

Date & Time: Thursday November 11th, 2010, 2:15pm - 3:15pm

Location: West Bldg. Lecture Hall

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 behavior 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.