Functions on the commuting stack via Langlands duality
数学专题报告
报告题目(Title)：Functions on the commuting stack via Langlands duality
报告人(Speaker)：李鹏辉（清华大学）
地点(Place)：后主楼1223
时间(Time)：2023年12月21日 16:00-16:50
邀请人(Inviter)：肖杰
报告摘要
We calculate the dg algebra of global functions on commuting stacks of complex reductive groups using tools from Betti Geometric Langlands. In particular, we prove that the ring of invariant functions on the commuting scheme is reduced. 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. It is a joint work with David Nadler and Zhiwei Yun.
