The non-Abelian X-ray transform
Gabriel Paternain (University of Cambridge)
11-Jun-2020, 16:00-17:00 (4 years ago)
Abstract: I will discuss the problem of how to reconstruct a matrix-valued potential from the knowledge of its scattering data along geodesics on a compact non-trapping Riemannian manifold with boundary.
The problem arises in new experiments designed to measure magnetic fields inside materials by shooting them with neutron beams from different directions, like in a CT scan.
Towards the end of the lecture I will focus on the recent solutionof the injectivity question on simple surfaces for any matrix Lie group.
Mathematics
Audience: researchers in the topic
International Zoom Inverse Problems Seminar, UC Irvine
Organizers: | Katya Krupchyk*, Knut Solna |
*contact for this listing |
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