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数学学科离散数学研究所学术报告(刘丽 曲阜师范大学)

发布者:付慧娟   发布时间:2020-10-12  浏览次数:98

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报告题目:Distribution properties of some combinatorial polynomials

报 告 人:刘丽 曲阜师范大学 教授

报告时间:2020年10月13日 14:30

报告地点:腾讯会议ID: 578 763 522

摘要:There are many interesting distribution properties, such as the unimodality, the -positivity and the spiral property. In this talk, we give the -positivity of some combinatorial polynomials related to the Eulerian polynomials. In particular, let  denote the set of the involutions of the hyperoctahedral group , and let  denote the number of descents of the permutation . We settle a problem of Moustakas [Graphs and Combin. 35(2019) 1077-1090] which states thatis -positive for . On the other hand, we present the spiral property of cyclic derangement polynomials.


报告人简介:刘丽,教授,博士生导师,霍英东青年教师奖获得者。主要从事组合数学中不等式、实零点性及矩阵全正性问题的研究,所取得成果得到图灵奖获得者D.E. Knuth等知名学者的正面引用和较高评价。共主持项目10项,其中国家级3项,省部级7项。

邀请人:严慧芳