QRT映射的几何非自治化与离散Painlevé方程
2024.09.23
投稿：龚惠英部门：理学院浏览次数：
活动信息
报告题目 (Title)：Geometric deautonomization from a QRT map to a discrete Painlevé equation：I, II, III （QRT映射的几何非自治化与离散Painlevé方程）
报告人 (Speaker)：Anton Dzhamay 教授（北京雁栖湖应用数学研究院BIMSA）
报告时间 (Time)：(I): 2024年09月19日 15:40-17:10
(II): 2024年09月20 14:00-16:30
(III): 2024年09月21日 9:00-10:30
报告地点 (Place)：校本部GJ303
邀请人(Inviter)：张大军
主办部门：理学院数学系
报告摘要：
Many examples of discrete Painlevé equations were originally obtained by B. Grammaticos, A. Ramani, and their collaborators, via the application of the singularity confinement criterion to the deautonomizations of QRT mappings. This approach is algebraic. In a 2019 paper with S. Carstea and T. Takenawa we explained an alternative, geometric approach, where a deautonomization of a QRT map is constructed from a choice of a (singular) fiber of the QRT elliptic surface. The goal of my talks would be to give an elementary introduction to this approach for a specific example of a QRT map, using the geometric methods of Sakai theory.
