Seminar talk, 4 March 2020

Speaker: Ian Marshall

Title: Action-Angle Duality for a Poisson-Lie Deformation of the Trigonometric $\mathrm {BC} _{n}$ Sutherland System

Abstract:
The property of action-angle duality was first brought to light in a systematic way by Ruijsenaars. The method of Hamiltonian reduction reveals a natural mechanism for how such a phenomenon can arise. I will give a general overview of this and present as a special case the new result, obtained together with Laszlo Feher, referred to in the title.

References:
https://doi.org/10.1007/s00023-019-00782-7