2-6 September 2019
Institut de Mathématiques de Bourgogne
Europe/Paris timezone

Monodromy dependence of Painlevé tau functions

2 Sep 2019, 14:30
30m
Amphi Gevrey ()

Amphi Gevrey

Speaker

Oleg Lisovyi (Université de Tours)

Description

In many interesting cases, distribution functions of random matrix theory and correlation functions of integrable models of statistical mechanics and quantum C-field theory are given by tau functions of Painlevé equations. I will discuss an extension of the Jimbo-Miwa-Ueno differential to the space of monodromy data and explain how this construction can be used to compute constant terms in the tau function asymptotics.

Primary author

Oleg Lisovyi (Université de Tours)

Presentation Materials