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Explore a mathematics colloquium lecture that delves into recent advancements in mean curvature flow, focusing on significant breakthroughs in understanding singularity formation and mathematical treatment of flow through singularities. Learn about the evolution of mean curvature flow from its physics origins in the 1950s through its mathematical development since the 1970s, with particular emphasis on recent solutions to longstanding conjectures, including the Multiplicity One Conjecture. Join NYU Courant's Bruce Kleiner as he presents joint work with Richard Bamler that has contributed to these mathematical developments in surface evolution and normal velocity field components determined by mean curvature.
Syllabus
Recent progress in mean curvature flow - Bruce Kleiner
Taught by
Stony Brook Mathematics