报告题目 (Title):二项式-斯特林-欧拉多项式(The Binomial-Stirling-Eulerian Polynomials)
报告人 (Speaker): 林志聪 教授(山东大学)
报告时间 (Time):2023年11月10日 (周五) 9:30
报告地点:F309
邀请人(Inviter):王晓霞
报告摘要:We introduce the binomial-Stirling-Eulerian polynomials, which encompass binomial coefficients, Eulerian numbers and two Stirling statistics: the left-to-right minima and the right-to-left minima. We investigate the $\gamma$-positivity of these polynomials from both the algebraic and the combinatorial aspects. These results extend the symmetric Eulerian identity found by Chung, Graham and Knuth, and the $\gamma$-positivity of the binomial-Eulerian polynomials first demonstrated by Postnikov, Reiner and Williams.
This talk is based on joint work with Kathy Q. Ji.