Algebra & Combinatorics Seminar

Combinatorics of gamma-positivity

  • Speaker: Zhicong Lin(Shandong University)

  • Time: Oct 10, 2024, 10:00-11:00

  • Location: M1001, College of Science Building,Tencent Meeting 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.