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Combinatorics of gamma-positivity

  • 演讲者:林志聪(山东大学)

  • 时间:2024-10-10 10:00-11:00

  • 地点:理学院大楼M1001,腾讯会议 ID: 801 251 648

Abstract

Gamma-positivity implies unimodality for palindromic polynomials. The idea behind it stems from work of Foata, Schutzenberger and Strehl on the Eulerian polynomials. I will present my work on this theme from the view point of permutation statistics, from q-Eulerian polynomials to Gessel’s gamma-positivity conjecture, to our recent exciting connections found between multiset Eulerian polynomials and weakly increasing trees, as well as some of my favorite conjectures.