【报告摘要】The Eulerian polynomials are fundamental objects in enumerative combinatorics, as they encode the distribution of ascents and descents over permutations. Over the years, numerous refinements and generalizations have been introduced. Gamma–positivity is a property that polynomials with symmetric coefficients may have, which directly implies their unimodality. In this talk, I will survey some results obtained in recent years for refinements of this property for various q-Eulerian polynomials and problems that remain open.

【报告人简介】曾江，温州大学教授，法国里昂第一大学荣休教授，博士生导师。长期从事代数组合学、计数组合学、排列统计、连分式理论，以及经典与q-正交多项式组合理论的研究。1988年获法国斯特拉斯堡大学数学博士学位，1989 年至1990 年为普林斯顿高等研究院成员。1990 年至2025 年，先后任教于法国斯特拉斯堡大学和里昂第一大学，历任副教授、教授。2024 年入选国家高层次人才计划。