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