中科院数学与系统科学研究院
数学研究所
学术报告会
报告人：Prof. Tonghai Yang(University of Wisconsin)
题 目：Modularity of arithmetical theta functions and Colmez conjecture
时 间：2016.06.28（星期二），16 :00-17:00
地 点：晨兴数学中心610室
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.
