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SUMMARY: Networks of curves evolving by curvature in the plane - Felix Shu
 lze\, UCL
DTSTART:20140520T140000Z
DTEND:20140520T150000Z
UID:TALK52568@talks.cam.ac.uk
CONTACT:37739
DESCRIPTION:The network flow is the evolution of a regular network of embe
 dded curves under curve shortening flow in the plane\, where it is allowed
  that at triple points three curves meet under a 120 degree condition. A n
 etwork is called non-regular if at multiple points more than three embedde
 d curves can meet\, without any angle condition but with distinct unit tan
 gents. Studying the singularity formation under the flow of regular networ
 ks one expects that at the first singular time a non-regular network forms
 . In this talk we will present recent work together with Tom Ilmanen and A
 ndre Neves\, showing that starting from any non-regular initial network th
 ere exists a flow of regular networks. 
LOCATION:MR14
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