报 告 人：Anton Dzhamay 教授
报告题目：Different Hamiltonians for Painlevé equations and their identification using geometry of the space of initial conditions
报告时间：2023年05月26日（周五）下午14：30-16：30
报告地点：静远楼1506会议室
主办单位：数学研究院、数学与统计学院、科学技术研究院
报告人简介：
Anton Dzhamay，美国University of Northern Colorado数学科学学院教授，北京雁栖湖应用数学研究院访问教授，主要研究方向为连续和离散可积系统、离散可积系统的几何理论、Painlevé方程、正交多项式和特殊函数、代数几何、数学物理等。
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.
