The non-Abelian X-ray transform

Talk by Gabriel Paternain, University of Cambridge

Thursday, October 21^st, 2021
5 p.m., on Zoom

Gabriel Paternain 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.

Speaker

Gabriel Paternain is a professor of mathematics at the University of Cambridge, UK. His research interests include differential geometry, analysis, dynamical systems, and geometric inverse problems, especially geodesic ray transforms.