|GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS SEMINAR|
|Topic:||Algebraic Cycles on Picarad Moduli Spaces of Abelian Varieties|
|Affiliation:||University of Bonn|
|Date:||Thursday, November 11|
|Time/Room:||2:15pm - 3:15pm/S-101|
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.