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The non-abelian X-ray transform

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If you have a question about this talk, please contact Valentin Hübner.

I will describe the mathematics that underpins new experiments designed to measure magnetic fields inside materials by shooting them with neutron beams from different directions, like in a CT scan. The problem is packed with some beautiful geometry and analysis, where the star of the show is a matrix in SO(3) obtained by solving a suitable linear ODE along straight lines in the plane. Very little will be needed to formulate and understand the problem: IA Differential Equations and Groups.

This talk is part of the The Archimedeans (CU Mathematical Society) series.

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