Featured papers and preprints – Nicolás Libedinsky

On the affine Hecke category

Joint with Leo Patimo. We give a complete (and surprisingly simple) description of the affine Hecke category for SL(3) in characteristic zero. More precisely, we calculate the Kazhdan-Lusztig polynomials, give a recursive formula for the projectors defining indecomposable objects and, for each coefficient of a Kazhdan-Lusztig polynomial, we produce a set of morphisms with such a cardinality.

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July 1, 2020

Featured papers and preprints / For Mathematicians / Papers and preprints

Gentle introduction to Soergel bimodules I: The basics

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.

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September 1, 2017

Gentle introduction to Soergel bimodules I: The basics

Featured papers and preprints / For Mathematicians / Papers and preprints

Light leaves and Lusztig’s conjecture

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

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January 1, 2015

Highlighted Papers