Academics

Functions on commuting stack via Langlands duality

Time:Fri., 10:30 am-11:30 am, Apr. 14, 2023

Venue:Ning Zhai W11

Organizer:Will Donovan, Penghui Li Peng Shan, Changjian Su

Speaker:Penghui Li 李鹏辉 YMSC,Tsinghua University

Abstract 

We explain how to calculate the dg algebra of global functions on commuting stacks using tools from Betti Geometric Langlands. Our main technical results include: a semi-orthogonal decomposition of the cocenter of the affine Hecke category; and the calculation of endomorphisms of a Whittaker sheaf in a diagram organizing parabolic induction of character sheaves. This is a joint work with David Nadler and Zhiwei Yun.


About the speaker 

李鹏辉,清华大学丘成桐数学科学中心助理教授。2011年本科毕业于香港科技大学,2016年博士毕业于美国加州大学伯克利分校,2016-2019 年在奥地利科学技术研究所作博士后研究。研究方向:几何表示论、几何朗兰兹纲领。


个人主页:

https://ymsc.tsinghua.edu.cn/info/1033/2414.htm


DATEApril 14, 2023
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