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

 An introduction to global unramified geometric Langlands theory

  2022.07.29(星期五),09:00-10:00

  点:Zoom会议:412-019-4771  会议密码:mcm1234

  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.

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