Speaker: D. Talalaev (MSU,YarSU)

Title:  RE-algebras, Gelfand-Retakh quasi-determinants, and quantization of the complete Toda system

Date and time:  30.10.2024, 17:00 (GMT +03:00)

Abstract: In 1991, Gelfand and Retakh proposed the technique of quasi-determinants, generalizing the long-known concept of Schur complement, at the same time they described the commutative subalgebra in RTT algebra using some quasi-determinants. In my report, I will talk about a similar construction in the case of the reflection equation algebras (RE-algebras), using an alternative family of quasi-determinants, which is apparently indicates the alternative structure of the RE-algebra as a quantum homogeneous space over the quantum group. The resulting family is, among other things, a quantization of the complete Toda system for the case of a RE-algebra.

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