Mean Curvature Flow from Conical Singularities

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• Joshua Daniels-Holgate (Queen Mary University of London)
• Thursday 06 February 2025, 16:00-18:00
• MR12.

If you have a question about this talk, please contact Paul Minter.

We discuss some regularity results for mean curvature flow from smooth hypersurfaces with conical singularities. We then discuss how to use these results to tackle the conical singularity resolution conjecture of Ilmanen, demonstrating a non-uniqueness dichotomy: a closed flow encountering a conical singularity ‘fattens’ if and only if the asymptotic cone also fattens.

This talk is part of the Geometric Analysis Seminar series.

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• MR12

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