华罗庚青年数学论坛

华罗庚青年数学论坛综合报告:Introduction to mod p Langlands program for GLn

发布时间:2021-10-08
 

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.

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