Speaker:  Georgy Sharygin (Lomonosov MSU)

Date and time:  8.05.2024, 17:00 (GMT +03:00)

Title: Noncommutative discrete integrable systems and recurrencies

Abstract: In the theory of integrable systems it is known that in many cases there are reductions that relate different systems of differential and difference equations; these reductions relate equations of the systems, send the Lax pairs of the systems to each other etc. It turns out that very much similar relations show up in the theory of noncommutative equations, where the algebra of (differentiable) functions is replaced by a noncomutative associative algebra endowed with a derivative (for instance the algebra of matrix-valued functions on a straight line) and discrete functions also take values in the same algebra. The examples include 2-dimensional discrete Toda system, Somos recurrencies, discrete Painleve equations and others. In my talk I will explain the main ideas behind these constructions. Based on a joint work with Irina Bobrova, Vladimir Rubtsov and Vladimir Retakh, arXiv:2311.11124v2.

To access the online seminar please contact  Anna Tolbey bekvaanna@gmail.com