Kazhdan-Lusztig polynomials of matroids: a survey of results and conjectures
Katie Gedeon, Nicholas Proudfoot, Benjamin Young
TL;DR
This survey reviews known results, conjectures, and open problems concerning Kazhdan-Lusztig polynomials of matroids, emphasizing new conjectures about their roots.
Contribution
It introduces new conjectures about the roots of Kazhdan-Lusztig polynomials of matroids, expanding the understanding of their properties.
Findings
Various results on Kazhdan-Lusztig polynomials of matroids
New conjectures about the roots of these polynomials
Identification of open problems in the area
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.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Algebraic structures and combinatorial models · Advanced Algebra and Geometry