Work

Universal monodromic tilting sheaves

Year: 2025

Type: article

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.

Source: Representation Theory of the American Mathematical Society

DOI: 10.1090/ert/705

Author: Jeremy Taylor

Institution: University of California, Los Angeles

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funder: National Science Foundation

Award: RTG: Number Theory and Arithmetic Geometry at Berkeley