Kazhdan-Lusztig polynomials of matroids: a survey of results and conjectures

Abstract

We report on various results, conjectures, and open problems related to Kazhdan-Lusztig polynomials of matroids. We focus on conjectures about the roots of these polynomials, all of which appear here for the first time.

11 pages, 1 figure; accepted to Proceedings of FPSAC 2017

Cited by in corpus (7)

• The inverse Kazhdan-Lusztig polynomial of a matroid
• Valuative invariants for large classes of matroids
• Stressed hyperplanes and Kazhdan-Lusztig gamma-positivity for matroids
• Matroid relaxations and Kazhdan-Lusztig non-degeneracy
• Kazhdan-Lusztig polynomials of braid matroids
• Equivariant Kazhdan-Lusztig polynomials of thagomizer matroids
• On matroid modularity and the coefficients of the inverse Kazhdan-Lusztig polynomial of a matroid