8 citations · 14 across the 10 of their papers we have counts for
11 papers
Tao-Travkin equivalence revisited
Penghui Li, David Nadler, Yakov Varshavsky +1
We give a simpler proof of the theorem of J.~Tao and R.~Travkin saying that (the neutral block of) the affine Hecke category is the monoidal colimit of finite Hecke categories. The…
Quantum Speed Limit and Optimal Evolution Time in Driven-dissipative Systems
Sarfraj Fency, Riddhi Chatterjee, Rangeet Bhattacharyya
Quantum Speed Limit (QSL) is a lower bound on the evolution time of a closed quantum system to evolve from one state to another, as shown by Mandelstam and Tamm. For…
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…
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^\…
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…
Revisiting mixed geometry
Quoc P. Ho, Penghui Li
We provide a uniform construction of "mixed versions" or "graded lifts" in the sense of Beilinson-Ginzburg-Soergel which works for arbitrary Artin stacks. In particular, we obtain…
Eisenstein series via factorization homology of Hecke categories
Quoc P. Ho, Penghui Li
Motivated by spectral gluing patterns in the Betti Langlands program, we show that for any reductive group , a parabolic subgroup , and a topological surface , the (enhanc…
The Jordan--Chevalley decomposition for -bundles on elliptic curves
Dragoş Frăţilă, Sam Gunningham, Penghui Li
We study the moduli stack of degree semistable -bundles on an irreducible curve of arithmetic genus , where is a connected reductive group. Our main result descri…
A colimit of traces of reflection groups
Penghui Li
Li-Nadler proposed a conjecture about traces of Hecke categories, which implies the semistable part of the Betti Geometric Langlands Conjecture of Ben-Zvi-Nadler in genus 1. We pro…
Derived categories of character sheaves
Penghui Li
We give a block decomposition of the dg category of character sheaves on a simple and simply-connected complex reductive group , similar to the one in generalized Springer corre…
Uniformization of semistable bundles on elliptic curves
Penghui Li, David Nadler
Let be a connected reductive complex algebraic group, and a complex elliptic curve. Let denote the connected component of the trivial bundle in the stack of semistabl…