Seminar 11.06.2025: G.I. Sharygin (MSU, MIPT)

Описание

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

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).

Автор

Центр интегрируемых систем