Tel Aviv University    Colloquium
 
Hello everyone,
 
The next colloquium talk will be held on:
 
Monday, 4/3/2012, 12:15, Schreiber 006, Tel Aviv University.
 
Speaker: Gabriel Paternain (University of Cambridge)
 
Title: Geodesic ray transforms and geometric inverse problems.
 
The abstract is given below. Tea and coffee at 12:00, same room.
 
Hope to see you there. For information about future colloquia, see
 <http://www.math.tau.ac.il/~ostrover/colloquium/colloq2012.html>
 
Yours,
Yaron
 
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Abstract: In this talk I will discuss recent progress in
the analysis of geodesic ray transforms and their relevance
for the solution of some geometric inverse problems
on Riemannian manifolds. The standard X-ray transform, where one
integrates a function along straight lines is a well-studied object
(and the basis of several medical imaging techniques), but I will
consider more general transforms in which we integrate tensor fields
along geodesics of a certain Riemannian metric.
These transforms arise naturally as linearizations of important
geometric inverse problems like the boundary rigidity problem
in which one tries to determine a Riemannian metric from the
knowledge of its boundary distance function. The talk is based on
joint work with Mikko Salo and Gunther Uhlmann.
 
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Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from:  <ostrover@post.tau.ac.il>