Generating series of arithmetic divisors in unitary Shimura varieties

Generating series of arithmetic divisors in unitary Shimura varieties

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Tonghai Yang , University of Wisconsin
Fine Hall 214

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.