Hecke categories, idempotents, and commuting stacks
Geometric Topology
2024-12-10 v2 Algebraic Geometry
Representation Theory
Abstract
We formulate a connection between a topological and a geometric category. The former is the idempotent completion of the (horizontal) trace of the affine Hecke category, while the latter is the equivariant derived category of the (semi-nilpotent) commuting stack. This provides a more precise and improved version of our proposal in [13].
Keywords
Cite
@article{arxiv.2406.05215,
title = {Hecke categories, idempotents, and commuting stacks},
author = {Eugene Gorsky and Andrei Neguţ},
journal= {arXiv preprint arXiv:2406.05215},
year = {2024}
}