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SUMMARY:Exponential maps in Kahler geometry - David Witt Nystrom (Universi
 ty of Cambridge)
DTSTART:20131204T141500Z
DTEND:20131204T151500Z
UID:TALK46587@talks.cam.ac.uk
CONTACT:Dr. J Ross
DESCRIPTION:I will discuss some joint work with Julius Ross. We consider a
  compact complex submanifold Y inside a Kahler manifold X. By proving loca
 l regularity for certain solutions to the complex Homogeneous Monge-Ampere
  equation we construct a canonical exponential map from a neighbourhood of
  Y in its normal bundle to a neighbourhood of Y in X. This map has some in
 teresting properties relating to the Kahler structure of X which in genera
 l are not shared by the more classical exponential map coming from geodeis
 ic flows. On a Riemann surface we have a physical interpretation in terms 
 of the Hele-Shaw flow.
LOCATION:MR 13\, CMS
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