Title: Geodesic X-ray Transforms and Boundary Rigidity

Date: 10/24/2019

Time: 4:10 PM - 5:00 PM

Place: C304 Wells Hall

This talk will introduce the problem of injectivity and
inversion of geodesic X-ray transforms in various geometric settings. The
associated nonlinear boundary rigidity problem, which consists of
determining a Riemannian metric on a compact manifold-with-boundary from
the lengths of its geodesics joining boundary points, will also be
discussed. Classical results and recent progess will be described,
including current research on the analogous questions in the setting of
asymptotically hyperbolic manifolds.