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

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 László Fehér, referred to in the title.