Seminars & Colloquia Calendar

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Geometric Analysis Seminar

Evolution of non-compact hypersurface by inverse mean curvature

Beomjun Choi (Columbia University)

Location:  Hill 705
Date & time: Tuesday, 26 February 2019 at 3:00PM - 4:20PM

Abstract: In this talk, we first introduce the inverse mean curvature flow and some of its well known application, a proof of Riemannian Penrose inequality by Huisken and Ilmanen. Then our main result on the existence and behavior of convex non-compact solution will be discussed.  The key ingredient is a priori interior in time estimate on the inverse mean curvature in terms of the aperture of supporting cone at infinity.

This is a joint work with P. Daskalopoulos and I will also mention the recent work with P.-K. Hung concerning the evolution of singular hypersurfaces.

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