Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Série WORK-CONF
Domaines math
Date Vendredi 18 Août 2017
Heure 11:00
Institut LPTENS
Salle Room Conf. IV
Nom de l'orateur Casale
Prenom de l'orateur Guy
Addresse email de l'orateur
Institution de l'orateur Université de Rennes I
Titre Painlevé equations and differential Galois theories
Résumé 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.
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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