In the past decades there appeared several examples of families of finite-dimensional dynamical systems being completely integrable in the Liouville sense. In the present talk I would describe one of such systems possessing many of the characteristic features of this set while having a particularly natural formulation (at least for my sake). I'll provide the description of this system and show the origins of the Liouville integrability in this case. The talk is based on the joint work with S.Tabachnikov, D.Fuchs and I.Izmestiev.
The talk will be via Zoom at: https://utoronto.zoom.us/j/99576627828