Langlands parametrization for covering groups I
组织者
邓太旺
, Bin Xu
, 余君
演讲者
Yifei Zhao
时间
2023年03月27日 16:30 至 18:00
地点
1108
线上
Zoom 293 812 9202
(BIMSA)
摘要
The Langlands program posits that automorphic forms associated to a reductive group are parametrized by Galois representations valued in its dual group. Around ten years ago, Weissman-Gan-Gao proposed an extension of the Langlands program which puts covering groups (such as the metaplectic group) under the same framework. In this minicourse, I will explain how to systematically study such covering groups using étale cohomology. Among other things, I will explain an extension of V. Lafforgue’s spectral decomposition theorem to genuine cusp forms.
演讲者介绍
Yifei Zhao is a postdoc at the University of Münster. He obtained his PhD in 2020 under the direction of Dennis Gaitsgory.