English

Parity sheaves and the Hecke category

Representation Theory 2018-01-04 v1 Algebraic Geometry

Abstract

The Hecke category is emerging as a fundamental object in representation theory. We give a motivated introduction to this category in both its geometric (via parity sheaves) and diagrammatic (generators and relations) incarnations. We also discuss the p-canonical basis and Koszul duality for the Hecke category.

Keywords

Cite

@article{arxiv.1801.00896,
  title  = {Parity sheaves and the Hecke category},
  author = {Geordie Williamson},
  journal= {arXiv preprint arXiv:1801.00896},
  year   = {2018}
}

Comments

ICM report

R2 v1 2026-06-22T23:35:07.555Z