https://www.dpmms.cam.ac.uk/~gpp24/
Thu, June 11, 2020, 9:00-10:00 am PST via Zoom
Title: The non-Abelian X-ray transform
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.