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： 陈麟 博士（Institute for advanced study）
题 目：An introduction to global unramified geometric Langlands theory
时 间：2022.07.29（星期五），09:00-10:00
地 点：Zoom会议：412-019-4771 会议密码：mcm1234
摘 要：If one replaces the number fields appearing in the (number theoretic) Langlands correspondence by function fields, then the studied objects have algebro-geometric incarnations. This motivates the so-called geometric Langlands theory where people use geometric methods (such as sheaf theory) to study various Langlands phenomenon. I will introduce the main conjecture in the global unramified version of this theory, which relates automorphic sheaves (i.e. sheaves on the moduli stack of G-torsors on a curve X) to \check{G}-local systems on X.