Geometry & Topology Seminar - Beomjun Choi - Evolution of non-compact hypersurface by inverse mean curvature

Description

HH 312

Speaker: Beomjun Choi (University of Toronto)

Title: Evolution of non-compact hypersurface by inverse mean curvature

Abstract: The inverse mean curvature flow has been studied for decades with fruitful application such as the proof of Riemannian Penrose inequality by Huisken-Ilmanen. In this talk, the existence and the asymptotic behavior of convex non-compact flow will be mainly discussed. The key ingredient is an estimate on the inverse mean curvature in terms of the aperture of a supporting cone at infinity, and this gives a regularity of a non-compact solution until it becomes flat. This talk is based on a joint work with P. Daskalopoulos.
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