Speaker : Chol Park (KIAS)
Time : 2017, Nov. 02 Thr, 16:00
Place: 110, N103

Title: Local-global compatibility

Abstract : Let $K$ be a finite extension of $\mathbb{Q}_p$. It is believed that one can attach a smooth $\mathbb{F}_p$-representation of ${\rm GL}_n(K)$ ( or a packet of such representations) to a continuous Galois representation $Gal(\overline{\mathbb{Q}}_p/K)\rightarrow {\rm GL}_n(\mathbb{F}_p)$ in a natural way, that is called mod $p$ Langlands program for ${\rm GL}_n(K)$. In this talk, we will introduce mod $p$ and $p$-adic Langlands programs, and their compatibility with the classical local Langlands correspondence for ${\rm GL}_n$ as well as global Langlands program.