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Statut |
Confirmé |
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Série |
WORK-CONF |
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Domaines |
math |
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Date |
Vendredi 18 Août 2017 |
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Heure |
11:00 |
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Institut |
LPTENS |
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Salle |
Room Conf. IV |
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Nom de l'orateur |
Casale |
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Prenom de l'orateur |
Guy |
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Addresse email de l'orateur |
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Institution de l'orateur |
Université de Rennes I |
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Titre |
Painlevé equations and differential Galois theories |
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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. |
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Numéro de preprint arXiv |
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Commentaires |
Workshop on "Exceptional and ubiquitous Painlevé equations for Physics". Please see webpage
https://indico.in2p3.fr/event/14720/ |
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Fichiers attachés |
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