Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series WORK-CONF
Subjects math
Date Friday 18 August 2017
Time 11:00
Institute LPTENS
Seminar Room Room Conf. IV
Speaker's Last Name Casale
Speaker's First Name Guy
Speaker's Email Address
Speaker's Institution Université de Rennes I
Title Painlevé equations and differential Galois theories
Abstract Paul Painlevé claimed that «irreducibility» of his equations is a consequence of the computation of their «rationality groups» as defined by Jules Drach in 1898. These objects were correctly defined by H. Umemura in 1996 and by B. Malgrange in 2001. In this lecture we will present the definition of the Malgrange groupoid on some examples. Then we will explain how to compute it for second order differential equations and we will use it to prove a weak «irreducibility property» for Painlevé equations.
arXiv Preprint Number
Comments Workshop on "Exceptional and ubiquitous Painlevé equations for Physics". Please see webpage

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