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SUMMARY:Regularity of minimal submanifolds and mean curvature flows meetin
 g along a common free boundary - Brian Krummel (UT\, Austin)
DTSTART:20161031T150000Z
DTEND:20161031T160000Z
UID:TALK68915@talks.cam.ac.uk
CONTACT:Prof. Neshan Wickramasekera
DESCRIPTION:We consider the higher regularity of a minimal submanifold $M$
  in\na Riemannian manifold $N$ such that $M$ is the union of\nsubmanifolds
 -with-boundary $M_1\,…\,M_q$ meeting along a common boundary\n$\\Gamma$.
   When $N$ is smooth (real-analytic)\, we show that $M_1\,…\,M_q$ and\n
 $\\Gamma$ are smooth (real-analytic) submanifolds.  This result was\nprev
 iously proven by Kindlerher\, Nirenberg\, and Spruck in the special case\n
 $q = 3$ and codimension one using a partial holograph transformation.  We
 \nextend their result to all $q \\geq 3$ and all codimensions.  We then a
 pply\nthe result to the work of Wickramasekera and Hughes on minimal subma
 nifolds\nand joint work of Schultz and White on network flows.
LOCATION:CMS\, MR13
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