Title: Modularity of arithmetical theta functions and Colmez conjecture
Speaker: Prof. Tonghai Yang (University of Wisconsin)
Time: 2016-6-28, 16:00-17:00
Place: 610
Abstract: This is a joint work with Bruinier, Howard, Kudla, and Rapoport in progress. In the talk, I will briefly describe a generating function of arithmatic divisors on Shimura variety of unitary type (n-1, 1)---arithmatic theta function, and explain why it is a modular form (if time permits). I will also briefly explain how to use the modularrity to prove some cases of the Colmez conjecture (CM type of unitary type (n-1, 1)). I might emphasize one over the other.
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