Mean curvature flow
Mean curvature flow

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.