报告题目：Compatibility of generalized Eulerian polynomials

报告人：杨立波教授（南开大学教授、博士生导师）

摘要：In the study of the real-rootedness of the independence polynomials of clawfree graphs, Chudnovsky and Seymour introduced the method of compatible polynomials, which turned out to be a very powerful tool for the study of real-rootedness. In this talk, I will talk about recent progress of some conjectures on the real-rootedness of various Eulerian polynomials. Special emphasis will be given to Brenti's type D Eulerian polynomials and Dilks-Petersen-Stembridge's type D affine Eulerian polynomials. The last part of the talk will provide an alternative approach to the real-rootedness of Eulerian polynomials via the Hermite--Biehler theorem.

报告时间：2018年6月8日（周五）上午 10：00-11：00

报告地点：金沙集团wwW3354CC三楼专家接待室

报告人简介：杨立波，国家自然科学基金委优秀青年科学基金项目资助者，教育部新世纪优秀人才；现任南开大学组合数学中心副主任，于1999年获得南开大学理学博士学位。主要从事代数组合学方面的研究，在对称函数理论和单峰型理论方面做出多项重要成果，现已在Trans.Amer. Math. Soc., J. Combin. Theory Ser. A, Adv. in Appl. Math., J. Alge. Combin.等权威数学杂志上发表论文20余篇。主持完成国家自然科学基金多项，参与完成973项目子课题和国家自然科学基金重点项目各1项。