Orateur
Katie Marsden
(UCLA)
Description
The continuum Calogero-Moser equation has received a significant amount of attention from the mathematical community since Gerard and Lenzmann showed it to be a completely integrable system in 2022. The equation was originally derived on the real line, however attention has recently turned to the equation on the torus. A key feature which is missing in the direct generalization to the torus is the Hamiltonian structure. In this talk we present a Hamiltonian formulation for equation on the torus in a moving frame, and use our results to provide a new proof of global well-posedness in the scaling critical Hardy space. The content of this talk is joint work with Rowan Killip and Monica Visan.