Universal monodromic tilting sheaves
Representation Theory
2025-08-13 v7
Abstract
We construct the universal monodromic big tilting sheaf on base affine space and calculate its endomorphisms. By formal completion, we recover Soergel's pro-unipotent Endomorphismensatz with arbitrary field coefficients. We give a Soergel bimodules description of the universal monodromic Hecke category and deduce a conjecture of Eberhardt that uncompletes Koszul duality.
Cite
@article{arxiv.2305.03033,
title = {Universal monodromic tilting sheaves},
author = {Jeremy Taylor},
journal= {arXiv preprint arXiv:2305.03033},
year = {2025}
}