Speaker: Dmitry Talalaev (MSU, YarGU)
Date and time: 25.11.2020, 17:00 (GMT +03:00)
Title: Full Toda system, quantization and geometry
Abstract: The full Toda system is a generalization of the open chain to the space of complete symmetric matrices. This system is related to the geometry of the flag varieties and cluster algebras. This report will focus on the generating function of the Deift Hamiltonians, interpretation of this system in the context of the Adler-Kostant-Symes reduction scheme, quantization of the system using the Gaudin model quantization, description of invariant subspaces of the classical system, and discussion of a similar problem in the quantum case.
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