报告题目 (Title)：Different Hamiltonians for Painlevé Equations and their identification using geometry of the space of initial conditions （Painlevé方程的不同哈密尔顿量及其分类）
报告人 (Speaker)：Anton Dzhamay 教授（北科罗拉多大学）
报告时间 (Time)：2023年04月23日 13:30-15:30
报告地点 (Place)：校本部F309
邀请人(Inviter)：张大军 教授
主办部门：理学院数学系
报告摘要：
It is well-known that differential Painlevé equations can be written in a Hamiltonian form. However, a coordinate form of such representation is far from unique – there are many very different Hamiltonians that result in the same differential Painlevé equation. In this paper we describe a systematic procedure of finding changes of coordinates transforming different Hamiltonian systems into some canonical form. Our approach is based on the Okamoto-Sakai’s geometric approach to Painlevé equations. We explain this approach mainly using the differential P-IV equation as an example, but the procedure is general and can be easily adapted to other Painlevé equations as well.
