# Generating series of arithmetic divisors in unitary Shimura varieties

 Joint IAS/Princeton University Number Theory Seminar Topic: Generating series of arithmetic divisors in unitary Shimura varieties Speaker: Tonghai Yang Affiliation: University of Wisconsin, Madison Date: Thursday, December 3 Time/Room: 4:30pm - 5:30pm/Fine 214, Princeton University

In this talk, I will describe roughly how to define a generating function arithmetic divisors (in Arakelov sense) on a unitary Shimura variety of type $(n-1,1)$. I will then briefly explain why it is modular. If time permits, I will also talk briefly about its application to Gross-Zagier-Zhang type formula and to Colmez conjecture. This is an ongoing joint work with Bruinier, Howard, Kudla and Rapoport.