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SUMMARY:The lens rigidity problem in 2 dimension - Spyros Alexakis (Toront
 o)
DTSTART:20241118T140000Z
DTEND:20241118T150000Z
UID:TALK224191@talks.cam.ac.uk
CONTACT:Dr Greg Taujanskas
DESCRIPTION:We will discuss the geometric inverse problem of finding a\nRi
 emannian metric on a manifold-with boundary\, from knowledge of the\nlens 
 map: Assume we know the exit point and length for any geodesic\nthat is sh
 ot into a manifold from its boundary in any direction\, can we\nreconstruc
 t the metric? Can local metric reconstruction be performed\nfrom local len
 s data? If the whole metric cannot be reconstructed\, how\nmuch of it can?
  Is the reconstruction stable? We present recent work on\nthese questions\
 , for 2-dimensional metrics.  Some brief discussion the\nrelation of this 
 work with wave inverse problems will also be provided.\nJoint work with Ma
 tti Lassas.
LOCATION:MR13
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