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SUMMARY:Loewner curvature - Lind\, J (University of Tennessee)
DTSTART:20150619T103000Z
DTEND:20150619T113000Z
UID:TALK59887@talks.cam.ac.uk
CONTACT:42080
DESCRIPTION:Co-author: Steffen Rohde (University of Washington) \n\n Inspi
 red by the geometric understanding of the SLE trace\, there has been inter
 est in studying how the deterministic Loewner equation encodes geometric p
 roperties of 2-dim sets into the 1-dim data of the driving function. Worki
 ng in this vein\, we define a new notion of curvature\, called Loewner cur
 vature\, so-named because it captures key behavior of the trace curve of t
 he Loewner equation. The Loewner curvature is defined for (nice enough) cu
 rves that begin at a marked boundary point of a Jordan domain and grow tow
 ards a second marked boundary point. We show that if this curvature is sma
 ll\, then the curve must remain a simple curve.\n
LOCATION:Seminar Room 1\, Newton Institute
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