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Mathematics Colloquium

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Date:  Tuesday, April 14, 2009

Title:  The rate of change of width under flows

Abstract:  I will discuss a geometric invariant, that we call the width, of a manifold and first show how it can be realized as the sum of areas of minimal 2-spheres. When $M$ is a homotopy 3-sphere, the width is loosely speaking the area of the smallest 2-sphere needed to ``pull over'' $M$. Second, we will estimate the rate of change of width under various geometric Flows, including the Ricci flow and mean curvature flow, to prove sharp estimates for extinction times. This is joint work with Toby Colding.


Speaker:  Bill Minicozzi
Institution:  Johns Hopkins University

 

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