报告时间:2025年9月11日 下午14:30开始
报 告 人:Mikhail Shapiro 教授,美国密歇根州立大学
报告地点:9-113
报告题目:Cluster coordinates on Teichmuller space of closed genus 2 surfaces
报告摘要:We construct cluster coordinates on the symplectic groupoid of the unipotent upper-triangular matrices, and then we build a cluster structure on Teichmuller space of closed genus 2 surfaces. This is a joint project with L. Chekhov.
报告人简介:Mikhail Shapiro is a Professor in the Department of Mathematics at the Michigan State University, USA. An internationally recognized expert in cluster algebra, his current research focuses on Poisson properties of commutative and non-commutative cluster structures and cluster integrable systems, including their classification and quantization.
He received his PhD (1992) in mathematics from the Moscow State University under the supervision of V.I. Arnold. Professor Shapiro is a Fellow at the American Mathematical Society.
He has organized several international conferences and workshops and has published in leading journals such as Inventiones Mathematica,Memoires of AMS, Acta Mathematica and others.
Mikhail Shapiro 是美国密歇根州立大学数学系的教授。作为国际公认的聚类代数专家,他目前的研究集中在交换和非交换聚类结构及聚类可积系统的泊松性质,包括它们的分类和量子化。他于1992年在莫斯科国立大学在V.I. Arnold 的指导下获得数学博士学位。Shapiro 教授是美国数学学会的会士。他组织了多次国际会议和研讨会,并在《数学发明》、《AMS纪要》、《数学评论》等领先期刊上发表了多篇论文。