Speaker: Vladimir Sokolov (MIPT, Moscow)

Title:  About linear deformations of matrix multiplication

Date and time:  25.02.2026, 17:00 (GMT +03:00)

Abstract: Two Lie algebras defined on the same vector space are called compatible if any linear combination of the corresponding brackets defines a Lie algebra. Compatible brackets have several important applications in the theory of integrable systems. A more rigid structure is a compatible family of associative algebras. Let one of the associative algebras be Mat(n). The problem of describing associative algebras compatible with it is considered. An algebraic structure is given, the representations of which describe such algebras. A wide class of examples generated by affine Dynkin diagrams of types A,D, and E is constructed.

The report will be held in Russian, the slides of the report will be in English, and any comments in English will be provided upon request.

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