Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Série WORK-CONF
Domaines math-ph
Date Mercredi 16 Août 2017
Heure 14:00
Institut LPTENS
Salle Room Conf. IV
Nom de l'orateur Loray
Prenom de l'orateur Frank
Addresse email de l'orateur
Institution de l'orateur Université de Rennes I
Titre Isomonodromic deformations and Painlevé equations
Résumé Introductory review 90 min. We introduce the notion of isomonodromic deformations of linear systems on the Riemann sphere, and explain how Painlevé equations can be derived from them. Although we will mainly talk about the Painlevé VI case, related to fuchsian systems, we will explain how other Painlevé equations arise. We will deduce the Painlevé property from the Riemann-Hilbert correspondence. We will give a geometric description of the space of initial conditions, its symmetries, and how singularities arise.
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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