Speaker: Prof. Shanwen Wang（Renmin University of China）

Time: 9:30-11:00am  June 22, 2021(Tuesday)

Place: MCM110 & Zoom (Zoom ID: 4663562952   Password: mcm1234)

Title: Completed cohomology of modular curves and its factorization

Abstract: In this talk, we will explain a refinement of Emerton's factorization of completed cohomology of modular curves, which is determined by the factorization at the classical points. The main ingredient is the q-expansion of the elements of the completed cohomology. This is a part of the joint work with Pierre Colmez on the factorization of Beilinson-Kato system.