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Huy The Nguyen, Queen Mary University London
Monday 15 October 2018, 15:00-16:00
Cylindrical Estimates for High Codimension Mean Curvature Flow
- đ¤ Speaker: Huy The Nguyen, Queen Mary University London
- đ Date & Time: Monday 15 October 2018, 15:00 - 16:00
- đ Venue: CMS, MR13
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Ivan Moyano
Abstract
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.
Series This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.
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