# Mean curvature flow

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Bruce Kleiner , NYU
Fine Hall 314

A mean curvature flow is an evolving submanifold M_t whose velocity is equal to its mean curvature.  Mean curvature flow is in some respects the most natural evolution equation for a moving submanifold: it is the gradient flow of the area functional, as well as the analog of the heat equation for submanifolds.  The lecture will survey mean curvature flow for a general mathematical audience.