Status  Confirmed 
Seminar Series  WORKCONF 
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 https://indico.in2p3.fr/event/14720/ 
Attachments 
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