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SUMMARY:The weighted X-ray transform and applications - Hanming Zhou
DTSTART:20161128T150000Z
DTEND:20161128T160000Z
UID:TALK69337@talks.cam.ac.uk
CONTACT:Prof. Mihalis Dafermos
DESCRIPTION:In this talk\, we consider the inverse problem of determining 
 a (vector valued) function and 1-form from their integrals with a (matrix)
  weight along geodesics on a manifold with strictly convex boundary. We sh
 ow unique determination\, modulo some natural obstructions\, for manifolds
  admitting strictly convex functions in dimension three and higher and for
  generic ones in arbitrary dimension. We also apply our results to study s
 ome non-linear inverse problems arising naturally in geometry and mathemat
 ical physics. \n\nPart of the talk is based on a joint work with G. P. Pat
 ernain\, M. Salo and G. Uhlmann.
LOCATION:CMS\, MR13
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