Painlevé equations – different facets of non-commutativity

Abstract: I propose an overview my results on different «non–commutative aspects» Painlevé equations and some related systems. I shall describe various non–commutative models associated with different Painlevé and corresponding toolbox and resulted properties and applications. Our methodology includes Gelfand–Retakh quasidetrminant technics for Painlevé II and IV, isomonodrtomy representations for the matrix Takasaki Hamiltonian Calogero–Painlevé systems and some analogues of Ruijsenaars duality.

mathematical physics

Audience: researchers in the topic

Seminar-Type Workshop on Noncommutative Integrable Systems