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Explore a 56-minute lecture by Enno Lenzmann discussing the energy-critical half-wave maps equation (HWM) and its mathematical properties. Learn about recent breakthroughs in proving global well-posedness for rational initial data without size restrictions, along with soliton resolution results in the large-time limit. The talk explains how these proofs leverage the equation's Lax pair structure combined with an explicit flow formula, representing joint work with Patrick Gérard from Paris-Saclay. 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 helpful functionality like chapter markers, keywords, abstracts, bibliographies, and multi-criteria search options.
