Speaker: G.I. Sharygin (MSU, MIPT)

Title: Symmetries of the full symmetric Toda system and Li-Bianchi integrability

Date and time:  11.06.2025, 17:00 (GMT +03:00)

Abstract: The full symmetric Toda system is an integrable Hamiltonian system on the space of symmetric real matrices, similar to the open Toda chain. In this report, I will talk about how to build vector fields that preserve this system. In particular, it follows that this system is integrable in the sense of the Li-Bianchi theorem (that is, it has a solvable algebra of symmetries of maximum dimension).

Video of the talk
https://rutube.ru/video/private/7a03bddb8b8e25ca6c2bbb261532c550/?p=UtuEJV79owNeV2L6a2uh5w

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