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SUMMARY:Cylindrical Estimates for High Codimension Mean Curvature Flow - H
 uy The Nguyen\, Queen Mary University London
DTSTART:20181015T140000Z
DTEND:20181015T150000Z
UID:TALK112219@talks.cam.ac.uk
CONTACT:Ivan Moyano
DESCRIPTION: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 o
 f two-convexity for hypersurfaces to high codimension submanifolds. We ana
 lyse 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.
LOCATION:CMS\, MR13
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