Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series WORK-CONF
Subjects math-ph
Date Wednesday 16 August 2017
Time 14:00
Institute LPTENS
Seminar Room Room Conf. IV
Speaker's Last Name Loray
Speaker's First Name Frank
Speaker's Email Address
Speaker's Institution Université de Rennes I
Title Isomonodromic deformations and Painlevé equations
Abstract 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.
arXiv Preprint Number
Comments Workshop on "Exceptional and ubiquitous Painlevé equations for Physics". Please see webpage

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