汇报标题 (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）
汇报人 (Speaker)：Anton Dzhamay 教授（北京雁栖湖利用数学钻研院BIMSA）
汇报功夫 (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
汇报地址 (Place)：校本部GJ303
约请人(Inviter)：张雄师
主办部门：理学院数学系
汇报提要：
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.
