Tsinghua Icon Number Theory Group at Tsinghua University

p-adic iteration of Gauss-Manin connection and triple product p-adic L-functions

Time: Thu, 25 Apr 2019, 13:30-15:05

Place: First conference room at Jinchunyuan West Building (近春园西楼)

Speaker: Yangyu Fan (Morningside Center of Mathematics, CAS)

Abstract:

In this talk, we will explain Andreatta-Iovita’s work on the p-adic iteration of Gauss-Manin connections in the space of nearly overconvergent elliptic modular forms (of unbounded order) and its application to the construction of triple product p-adic L-functions. If time permits, we will explain how to generalize these results to rational Shimura curves.