The rate of change of width under flows


William Minicozzi

Johns Hopkins University

Harvard University

Thursday, November 15, 2007


Talk at 4:30 p.m. in Science Center A (NOTE UNUSUAL PLACE)

Tea at 4:00 p.m. in the Math Lounge


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 to prove sharp estimates for extinction times. This is joint work with Toby Colding.


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Posted: November 6, 2007    URL: