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Penn Mathematics Colloquium

Wednesday, March 28, 2018 - 3:30pm

Lu Wang

University of Wisconsin


University of Pennsylvania


Tea before the talk at 3pm in the math lounge, 4th floor DRL

Mean curvature flow is the gradient flow of the volume functional of hypersurfaces. Starting from any closed hypersurfaces, the flow will develops singularities in finite time. To understand generic properties of singularities formation, Colding and Minicozzi introduced a notion of entropy of hypersurfaces, which is given by the supremum over all Gaussian integrals with varying centers and scales. In this talk, I will show that the topology and geometry of closed hypersurfaces with small entropy are simple. This is joint work with J. Bernstein.