3 papers
math.RT2026
Relative Serre duality for Hecke categories
Quoc P. Ho, Penghui Li
We prove a conjecture of Gorsky, Hogancamp, Mellit, and Nakagane in the Weyl group case. Namely, we show that the left and right adjoints of the parabolic induction functor between…
math.AG2025
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…
math.RT2025
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^\…