Friday, November 15, 2013 - 15:30 to 16:30

704 Thackeray Hall

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### Abstract or Additional Information

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 audience.