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Monodromy dependence and connection formulae for isomonodromic tau functions

Le : 18/10/2016 15h30
Par : Oleg Lisovyi, Université de Tours
Lieu : I 001
Lien web :
Résumé : I will discuss an extension of the Jimbo-Miwa-Ueno differential 1-form to a form closed on the full space of extended monodromy data of systems of linear ordinary differential equations with rational coefficients. This extension is based on the results of M. Bertola generalizing a previous construction by B. Malgrange. I will show how this 1-form can be used to obtain connection formulae for tau functions of Painlevé equations which would include explicit computation of the relevant constant factors.