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math.RT2023
Derived categories of character sheaves II: canonical induction/restriction functors
Penghui Li
We give a combinatorial description of the dg category of character sheaves on a complex reductive group , extending results of [Li] for simply-connected. We also explicitly…
math.RT2023
Graded character sheaves, HOMFLY-PT homology, and Hilbert schemes of points on
Quoc P. Ho, Penghui Li
Using a geometric argument building on our new theory of graded sheaves, we compute the categorical trace and Drinfel'd center of the (graded) finite Hecke category $\mathsf{H}_W^\…
math.RT2023★ 1 cited
Functions on the commuting stack via Langlands duality
Penghui Li, David Nadler, Zhiwei Yun
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…