Academy of Mathematics and Systems Science, CAS Colloquia & Seminars | Speaker: | Prof. Shanwen Wang,Renmin University of China | Inviter: | | Title: | Completed cohomology of modular curves and its factorization | Time & Venue: | 2021.06.22 09:30-11:00 MCM110 & Zoom (Zoom ID: 4663562952 Password: mcm1234) | 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. | | | |