L-invariant and local-global compatibility
主 题: L-invariant and local-global compatibility
报告人: Yuancao Zhang (AMSS)
时 间: 2015-01-21 14:00-15:00
地 点: QuanZhai 29（数学中心活动）
In this talk， we will discuss a recent result about local global compatibility of special series in completed cohomologies of Shimura curves by Yiwen Ding. We will first give the definition of $L$-invariants both in Galois side by Fontaine and in the automorphic side by Schraen, then introduce the completed cohomologies of Shimura curves, and prove the compatibility using early works of Breuil, Emerton and an observation of Ding.