Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Série WORK-CONF
Domaines math
Date Jeudi 17 Août 2017
Heure 15:30
Institut LPTENS
Salle Room Conf. IV
Nom de l'orateur Yamada
Prenom de l'orateur Yasuhiko
Addresse email de l'orateur
Institution de l'orateur University of Kobe
Titre Geometric aspects of discrete Painlevé equations
Résumé 90 min review talk. The theory of discrete Painlevé equations has made great progress in the last two decades. In this talk, we first study simple examples of discrete Painlevé equations using their autonomous limits as a clue. Then, after recapitulating the basic ideas of Sakai's geometric theory of Painlevé equations, we will give an explicit formulation of the most generic case: the elliptic difference Painlevé equation. Finally, we will derive the isomonodromic description (Lax formulation) based on the geometric method. If time permits we will also discuss the tau functions, special solutions, quantization etc. This talk is mainly based on a review with K.Kajiwara and M.Noumi arXiv:1509.08186.
Numéro de preprint arXiv
Commentaires Workshop on "Exceptional and ubiquitous Painlevé equations for Physics". Please see webpage https://indico.in2p3.fr/event/14720/
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