题目：Eulerian polynomials and interlacing sequences

报告人：杨立波 （南开大学组合数学中心）

Abstract：

It is well known that the classical Eulerian polynomials have only real zeros. These polynomials are not only of interest in combinatorics, but also of significance in geometry. There are many interesting generalizations of Eulerian polynomials. In this talk we will report recent progress on the real-rootedness of various Eulerian polynomials, including the type  Eulerian polynomials, the affine type D Eulerian polynomials, and the binomial Eulerian polynomials. Our approach will follow Br?nden's characterization of matrices preserving interlacing properties of nonnegative polynomial sequences.

时间：5月21日（周二）下午15:00

地点：565net必赢客户端本部教二楼 513教室

联系人：辛国策

欢迎全体师生积极参加！