Eulerian-Type Polynomials and Stirling Permutations 【2024.10.14 16:00-17:00, N202】 |
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2024-9-30 Colloquia Seminars Speaker | 叶永南教授, 温州大学 | Title | Eulerian-Type Polynomials and Stirling Permutations | Time | 10月14日16:00-17:00 | Venue | N202 | Abstract | This presentation provides a comprehensive overview of recent developments in enumerative combinatorics, with a particular focus on the interplay between polynomial properties and combinatorial structures. The discussion will be approached from four perspectives: Differential Equations, Differential Operators, Combinatorial Models, and Algebraic Structures. We will delve into multivariate Eulerian polynomials, exploring their e-positivity, and extend this discussion to various enumerative polynomials linked to Stirling permutations, including ascent-plateau polynomials, left ascent-plateau polynomials, and flag ascent-plateau polynomials. Through the use of a specialized coding method, we uncover symmetries and equidistribution results among these polynomials. Furthermore, we demonstrate that many of these polynomials satisfy David-Barton-type identities, offering new insights into their structural and algebraic properties. | Affiliation | 叶永南,现为温州大学特聘教授。1985年在美国纽约州立大学获博士学位。1987年任中研院数学所副研究员,1991年1月晋升为研究员。曾任加拿大魁北克大学信息与数学系研究学者,麻省理工学院、加州大学柏克莱分校统计系和澳洲Monash大学经济系访问学者;台北数学推动中心主任, 中研院数学所副所长。学术研究除数学外, 还涉及物理、化学、统计、经济等多个领域。曾多次获得杰出研究奖, 杰出研究计划奖, 杰出特约研究员,浙江省海外高层次人才引进计划-创新人才长期项目。组合图论国际顶级杂志JCTA曾出版专门文章介绍由叶永南研究员名字命名的领域Yeh-species, 目前此方向的研究仍然在不断深入。发表国际高质量论文100余篇,曾多次应邀在重要的国际学术会议上作大会报告。 | |
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