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Topological uniqueness of self-expanders of small entropy

Differential Geometry & Geometric Analysis Seminar

Topological uniqueness of self-expanders of small entropy

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Lu Wang, University of Wisconsin-Madison/IAS
Fine Hall 314

For a fixed regular cone in Euclidean space with small entropy we show that all smooth self-expanding solutions of the mean curvature flow that are asymptotic to the cone are in the same isotopy class. We will also discuss some applications of this uniqueness result. This is joint with Jacob Bernstein.

 

Joint with IAS