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 ************************************* 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. --------------------------------------------------------- Technion Math Net-2 (TECHMATH2) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: <ostrover@post.tau.ac.il>