EVENT DETAILS AND ABSTRACT

Title: Intersection theory on Shimura surfaces
Speaker: Professor Ben Howard
Speaker Info: Boston College
Brief Description:
Special Note:
Abstract:

Kudla has proposed a general program to relate arithmetic intersection multiplicities of special cycles on Shimura varieties to Fourier coefficients of Eisenstein series. The lowest dimensional case, in which one intersects two codimension one cycles on the integral model of a Shimura curve, has been completed by Kudla-Rapoport-Yang. I will describe results in a higher dimensional setting: on the integral model of a Shimura surface one can consider the intersection of an embedded Shimura curve with a family of codimension two cycles of complex multiplication points. The intersection numbers of these cycles are related to Fourier coefficients of a Hilbert modular form of half-integral weight.