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Geometric Analysis Seminar

Approximation of Mean Curvature Flow with Generic Singularities by Smooth Flows with Surgery

Joshua Daniels-Holgate (Warwick)

Location:  zoom
Date & time: Tuesday, 21 September 2021 at 2:50PM - 3:50PM

Abstract: We construct smooth flows with surgery that approximate weak mean curvature flows with only spherical and neck-pinch singularities. This is achieved by combining the recent work of Choi-Haslhofer-Hershkovits, and Choi-Haslhofer-Hershkovits-White, establishing canonical neighbourhoods of such singularities, with suitable barriers to flows with surgery. A limiting argument is then used to control these approximating flows. We demonstrate an application of this surgery flow by improving the entropy bound on the low-entropy Schoenflies conjecture.

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