中科院数学与系统科学研究院

数学研究所

中科院华罗庚数学重点实验室

华罗庚青年数学论坛

综合报告

报告人： 钱子诚 博士（University of Toronto）

题  目：Introduction to mod p Langlands program for GLn

时  间：2021.10.08（星期五），09:00-10:00

地  点：数学院南楼N204腾讯会议：338 799 985

摘  要：In this talk, we first introduce the conjectural mod p Langlands correspondence for GLn, which should satisfy the so called mod p local-global compatibility. In particular, given a p adic field K, we expect that the GLn(K) action on a certain space of mod p Hecke eigenforms determines the local mod p Galois representation attached to this Hecke system. We end this talk by discussing some recent results towards this direction.