Program
Seminar Number Theory
Student No.:40
Time:Mon 15:20-16:55, Oct.08-Jan.14
Instructor:Fu Lei, Xu Bin, Cai Li, Chen Zongbin, Chun-Yin Hui, Wang Haoran, Li Yongxiong, Liu Yu  
Place:Lecture Hall, Jin Chun Yuan West Bldg.
Starting Date:2018-10-8
Ending Date:2019-1-14

2018-10-22

Speaker: Xu Shen (Morningside center, CAS)

Title: p-adic period domains and the Fargues-Rapoport conjecture

Abstract:
In his 1970 ICM report, Grothendieck asked the question to describe the p-adic analogues of Griffiths period domains. In this talk, we will review some constructions for these p-adic period domains, following recent developments in p-adic Hodge theory. We will then explain some ideas in a proof of the Fargues-Rapoport conjecture about the structure of certain p-adic period domains. This is joint work with Miaofen Chen and Laurent Fargues.


2018-10-15

Speaker: Xin Wan (Morningside center, CAS)

Title: Iwasawa theory and BSD formula for GL(2)

Abstract:
We first give an overview of recent results on Iwasawa theory and applications to BSD formulas for elliptic modular forms. Then we explain some ingredients used for the argument.


2018-10-08

Speaker: Xinyi Yuan [U. C. Berkeley & IAS Tsinghua]

Title: Modular heights of Shimura curves

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.