Title: Modular heights of Shimura curves
Speaker: Xinyi Yuan (UC Berkeley)
Time: 2019-7-17, 16:00-17:30
Place: MCM;610
Abstract: In this talk, I will introduce a formula expressing the modular height of a quaternionic Shimura curve over a totally real field in terms of the logarithmic derivative at 2 of the Dedekind zeta function of the totally real field. This generalized a formula of Kudla-Rapoport-Yang. The proof of the formula is inspired by the previous work of Yuan-Zhang-Zhang on the Gross-Zagier formula.