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Explore recent findings on singularity formation in the one-dimensional Schrödinger equation with cubic nonlinearity in this hour-long lecture. Delve into the connections between the Schrödinger map and the vortex filament equation, gaining insights into complex mathematical phenomena. Presented by Luis Vega at the Institut des Hautes Etudes Scientifiques (IHES), this talk offers a comprehensive review of cutting-edge research in nonlinear partial differential equations and their applications in mathematical physics.
