Singularities in Mean Curvature Flow

Friday, January 10, 2014 - 15:30
704 Thackeray Hall
Speaker Information
William Minicozzi

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Abstract or Additional Information

Mean curvature flow is a nonlinear geometric flow where a hypersurface evolves to decrease its area as efficiently as possible. Singularities are unavoidable and the point is to understand the possible singularities and the behavior of the flow near a singularity. I will talk about recent joint work with Toby Colding and Tom Ilmanen where we prove strong rigidity and uniqueness theorems for generic singularities in all dimensions.