A Liouville-Type Theorem for Cylindrical Cones
Time: 2023-03-29
Published By: Wenqiong Li
Speaker(s): Nick Edelen (University of Notre Dame)
Time: 09:00-10:00 March 29, 2023
Venue: Online
Abstract: It was shown by Hardt-Simon and Wang that any minimizing hypercone fits into a foliation of minimizing hypersurfaces which, apart from the cone itself, are all smooth radial graphs asymptotic to the cone. When the cone has an isolated singularity Hardt-Simon additionally showed the foliation is unique, in the sense that any complete area-minimizing hypersurface lying to one side of the cone must be a leaf of the foliation. In this talk we show a similar uniqueness for the foliation associated to minimizing cylindrical hypercones of the form $C = C_0 \times R^k$, when $C_0$ is smooth, strictly-minimizing, and strictly stable. This is joint work with Gábor Székelyhidi.
Speaker: Nick Edelen is currently an Assistant Professor at University of Notre Dame. He obtained his PhD at Stanford University, advised by Simon Brendle and coadvised by Brian White. He is interesting in minimal surfaces and mean curvature flow.
Zoom: https://us06web.zoom.us/j/84168856498?pwd=QUpjUWp4VHEzR0w4ZnAwUnk0Zk9sQT09
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Passcode: 612062
