报告时间:2025年9月11日 上午9:30开始
报 告 人:Alexander Veselov教授,英国拉夫堡大学
报告地点:9-113
报告题目:Period-1 dressing chain and Masur-Veech volumes
报告摘要: We study the formal series solutions of the simplest delay periodic reduction of the Darboux dressing chain (known also as delay Painleve-I equation) and introduce a new (Bernoulli-Catalan) family of polynomials. Using the results of Di Yang, Don Zagier and Youjin Zhang, we show that their coefficients are essentially the Masur-Veech volumes of the moduli spaces of meromorphic quadratic differentials. The talk is based on a joint work with John Gibbons and Alex Stokes.
报告人简介:
Alexander P. Veselov is Professor of Mathematics and Head of the Geometry and Mathematical Physics research group at Loughborough University, UK. He belongs to the famous school of Sergei P. Novikov and received PhD (1982) and DSc (1991) in geometry and topology from Moscow State University.
Alexander Veselov is well-known internationally by his influential work in integrable systems, geometry and representation theory published in the leading academic journals including Annals of Mathematics, Advances in Mathematics and Communications in Mathematical Physics. He is a member of the Editorial Boards of the journals Mathematical Physics, Analysis and Geometry; Regular and Chaotic Dynamics; SIGMA (Symmetry, Integrability and Geometry: Methods and Applications).
Alexander P. Veselov 是英国拉夫堡大学数学教授和几何与数学物理研究组负责人。他属于著名的Sergei P. Novikov 学派,并于1982年和1991年在莫斯科国立大学获得几何和拓扑学的博士学位和科学博士学位。Veselov教授因其在可积系统、几何和表示理论方面的影响力工作而在国际上享有盛誉,相关研究成果发表在包括《数学年刊》、《数学进展》和《数学物理通讯》等顶级学术期刊上。他是《数学物理》、《分析与几何》、《规则与混沌动态》和《SIGMA(对称性、可积性与几何:方法与应用)》等期刊的编委会成员。