报告题目 (Title)：Geometry of Painlevé equations: (1,2)
(Painlevé方程的几何:1,2)
报告人 (Speaker)：Anton DZhamay 教授（北科罗拉多大学）
报告时间 (Time)：2021年11月23日(周二) 11:00-13:00
报告地点 (Place)：腾讯会议ID：320 724 494
邀请人(Inviter)：张大军
报告摘要：In this mini-course we would present some beautiful geometric ideas underlying the theory of Painlevé equations, both differential and discrete. We explain the idea behind the construction, due to K. Okamoto, of the space of initial conditions of a differential Painlevé equation, and how understandign the geometry of this space can help us understand its symmetries (Bäcklund transformations). We also explain the appearance of discrete Painlevé equations as particular combinations of such symmetries that admit a structure of a discrete dynamical systems. We then generalize these ides to explain the full classification scheme of Painlevé equations, due to H. Sakai.