## On the affine Hecke category

Joint with Leo Patimo. We find a surprisingly beautiful basis of the Hom spaces between indecomposable Soergel bimodules for SL(3) (something that we call "indecomposable light leaves").

Skip to content
# Featured papers and preprints

## Highlighted Papers

##
On the affine Hecke category

##
Gentle introduction to Soergel bimodules I: The basics

##
Light leaves and Lusztig’s conjecture

Joint with Leo Patimo. We find a surprisingly beautiful basis of the Hom spaces between indecomposable Soergel bimodules for SL(3) (something that we call "indecomposable light leaves").

Comments Off on On the affine Hecke category

July 1, 2020

** Sao Paulo Journal of Mathematical Sciences**, 13(2) (2019), 499-538. This paper is the first of a series of introductory papers on the fascinating world of Soergel bimodules. It is combinatorial in nature and should be accessible to a broad audience.

Comments Off on Gentle introduction to Soergel bimodules I: The basics

September 1, 2017

**Advances in Mathematics **(2015) 772-807.
I prove that Lusztig's conjecture reduces to a problem about the light leaves. Using the result in Section 4.3 of this paper Geordie Williamson **disproved Lusztig's conjecture!** The counterexamples grow exponentially in the Coxeter number. Here is Geordie's paper

Comments Off on Light leaves and Lusztig’s conjecture

January 1, 2015