The Hodge theory of the Hecke category
Representation Theory
2016-10-21 v1 Algebraic Geometry
Combinatorics
Abstract
Ideas from Hodge theory have found important applications in representation theory. We give a survey of joint work with Ben Elias which uncovers Hodge theoretic structure in the Hecke category ("Soergel bimodules"). We also outline similarities and differences to other combinatorial Hodge theories.
Keywords
Cite
@article{arxiv.1610.06246,
title = {The Hodge theory of the Hecke category},
author = {Geordie Williamson},
journal= {arXiv preprint arXiv:1610.06246},
year = {2016}
}
Comments
20 pages, ECM 2016 lecture