The anti-spherical Hecke categories for Hermitian symmetric pairs

Abstract

We calculate the p-Kazhdan–Lusztig polynomials for Hermitian symmetric pairs and prove that the corresponding anti-spherical Hecke categories are standard Koszul. We prove that the combinatorial invariance conjecture can be lifted to the level of graded Morita equivalences between subquotients of these Hecke categories