BIMSA > Automorphic Theory Seminar Langlands parametrization for covering groups II
Langlands parametrization for covering groups II
Organizers
Tai Wang Deng , Bin Xu , Jun Yu
Speaker
Yifei Zhao
Time
Thursday, March 30, 2023 4:30 PM - 6:00 PM
Venue
1108
Online
Zoom 293 812 9202 (BIMSA)
Abstract
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.
Speaker Intro
Yifei Zhao is a postdoc at the University of Münster. He obtained his PhD in 2020 under the direction of Dennis Gaitsgory.