On a classification of non-Abelian Painlevé equations

Abstract: The famous Painlevé equations define the most general special functions and appear ubiquitously in integrable models. Since the latter have been intensively studied in the matrix or, more general, non-Abelian case, examples of non-Abelian Painlevé equations arise.

We will discuss the problem of classifying such equations. This talk is based on a series of papers joint with Vladimir Sokolov and an ongoing project with Vladimir Retakh, Vladimir Rubtsov, and Georgy Sharygin.

mathematical physicsanalysis of PDEsdifferential geometry

Audience: researchers in the topic

( video )

Geometry of differential equations seminar