The non-abelian X-ray transform
- ๐ค Speaker: Prof. Gabriel Paternain (University of Cambridge)
- ๐ Date & Time: Friday 28 February 2020, 19:00 - 20:00
- ๐ Venue: MR2, Centre for Mathematical Sciences
Abstract
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.
Series This talk is part of the The Archimedeans (CU Mathematical Society) series.
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Prof. Gabriel Paternain (University of Cambridge)
Friday 28 February 2020, 19:00-20:00