Séminaire Lotharingien de Combinatoire, 78B.80 (2017), 12 pp.

Katie Gedeon, Nicholas Proudfoot and Benjamin Young

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.

Received: November 14, 2016. Accepted: February 17, 2017. Final version: April 1, 2017.

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