»ã±¨±êÌâ (Title)£ºGeometric deautonomization from a QRT map to a discrete Painlev¨¦ equation£ºI, II, III £¨QRTÓ³ÉäµÄ¼¸ºÎ·Ç×ÔÖλ¯ÓëÀëÉ¢Painlev¨¦·½³Ì£©

»ã±¨ÈË (Speaker)£ºAnton Dzhamay ½ÌÊÚ£¨±±¾©ÑãÆܺþÀûÓÃÊýѧ×êÑÐÔºBIMSA£©

»ã±¨¹¦·ò (Time)£º(I): 2024Äê09ÔÂ19ÈÕ 15:40-17:10

         (II): 2024Äê09ÔÂ20 14:00-16:30

         (III): 2024Äê09ÔÂ21ÈÕ 9:00-10:30

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿GJ303

Ô¼ÇëÈË(Inviter)£ºÕÅÐÛʦ

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Many examples of discrete Painlev¨¦ 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.