XXXVIII Workshop on Geometric Methods in Physics 30.06-6.07.2019
VIII School on Geometry and Physics 24-28.06.2019

Laszlo Feher

Spin Ruijsenaars–Schneider–Sutherland models from Hamiltonian reduction

We shall report our recent results on spin generalizations of the classical
integrable many–body models of Sutherland and Ruijsenaars–Schneider type.
Our models are obtained via Hamiltonian reductions of free systems on cotangent bundles of Lie groups and their Poisson–Lie analogues. In some cases these two sources lead to the same reduced equations of motion and to a pair of compatible Poisson brackets. The talk will be based on the papers [1,2] and ongoing research.

[1] L. Feher, Poisson–Lie analogues of spin Sutherland models,
arXiv:1809.01529 [math-ph]

[2] L. Feher, Bi–Hamiltonian structure of a dynamical system introduced by Braden and Hone, arXiv:1901.03558 [math-ph]

Event sponsored by:
of Bialystok
University of Bialystok

Webpage by: Tomasz GolinskiTomasz Golinski