PDE Seminar Abstracts

Geometric Inverse Problems and Magnetic Flows

Gareth Ainsworth
Melbourne
Monday 22 September 2014, 3-4pm (Note the unusual time!), Carslaw Room 829 (AGR)

Abstract

Geometric inverse problems typically associate to a Riemannian manifold some partial data, and then ask under what conditions the full data can be recovered. In this talk we will introduce magnetic flows, a generalization of the geodesic flow on the unit tangent bundle, and discuss various related geometric inverse problems which have received considerable attention over the last decade. In particular, we will focus on the magnetic ray transform and the tensor tomography problem.