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Explore a 47-minute lecture by Thierry Laurens on the focusing Continuum Calogero–Moser (CCM) equation, a completely integrable PDE describing a continuum limit of a particle gas with inverse square potential interactions. Learn about the system's well-posedness in the scaling-critical space L2 below the soliton mass threshold, and discover why solutions above this threshold can blow up in finite time. The talk presents new and existing results about solutions below the soliton mass threshold, based on joint work with Rowan Killip and Monica Visan. This lecture was recorded during the thematic meeting "Dispersive Integrable Equations: Pathfinders in Infinite-Dimensional Hamiltonian Systems" on April 29, 2025, at the Centre International de Rencontres Mathématiques in Marseille, France. Access this and other mathematical talks through CIRM's Audiovisual Mathematics Library, featuring chapter markers, keywords, abstracts, bibliographies, and multi-criteria search functionality.
