Modular heights of Shimura curves
Time: Mon, 8 Oct 2018, 15:20-16:55
Place: Lecture Hall, 3rd floor, Jin Chun Yuan West Building
Speaker: Xinyi Yuan (U. C. Berkeley & IAS Tsinghua)
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. The proof of the formula is inspired by the previous work of Yuan-Zhang-Zhang on the Gross-Zagier formula.