The log-concavity of Kazhdan-Lusztig polynomials of uniform matroids
*红叶 解 (天津理工大学)
彪 张 (天津师范大学)
Elias, Proudfoot, and Wakefield conjectured that the Kazhdan-Lusztig polynomial of any matroid is log-concave. Inspired by a computer proof of Moll's log-concavity conjecture given by Kauers and Paule, we use the computer algebra system to prove the conjecture for arbitrary uniform matroid.