The Kudla Program

Thursday, October 15, 2015 - 12:00
427 Thackeray Hall
Speaker Information
Zavosh Amir-Khosravi

Abstract or Additional Information

The research program initiated by Stephen Kudla is aimed at investigating relations between generating series of cycles on Shimura varieties and Fourier expansions of automorphic forms. The areas that play a role include Arakelov intersection theory, harmonic analysis on adelic groups, and moduli spaces of abelian schemes. We will survey some of the special cases that have been have been worked out so far, and give some ideas of what is involved in the proofs. If time permits, we will discuss the historical context.