Seminar talk, 22 November 2023

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Speaker: Irina Bobrova

Title: 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.

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