Kazhdan-Lusztig polynomials of matroids: a survey of results and   conjectures
  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. 
Katie Gedeon, Nicholas Proudfoot, Benjamin Young
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