University of Cambridge > Talks.cam > Geometric Analysis and Partial Differential Equations seminar > Cylindrical Estimates for High Codimension Mean Curvature Flow

Cylindrical Estimates for High Codimension Mean Curvature Flow

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  • UserHuy The Nguyen, Queen Mary University London
  • ClockMonday 15 October 2018, 15:00-16:00
  • HouseCMS, MR13.

If you have a question about this talk, please contact Ivan Moyano.

We study high codimension mean curvature flow of a submanifold of dimension $n$ in Euclidean space $\R^{n+k}, k \geq 2$ subject to a certain quadratic curvature condition. This condition extends the notion of two-convexity for hypersurfaces to high codimension submanifolds. We analyse singularity formation in the mean curvature flow of high codimension by directly proving a pointwise gradient estimate. We then show that near a singularity the surface is quantitatively cylindrical.

This talk is part of the Geometric Analysis and Partial Differential Equations seminar series.

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