Bay Area Microlocal Analysis Seminar: Nonlinear detection of connections

Seminar | March 13 | 3:20-4:20 p.m. | 384H Stanford

  Building 380, Stanford, CA 94305

 Gabriel Paternain, University of Cambridge

 Department of Mathematics

I will discuss the geometric inverse problem of recovering a connection from the parallel transport along geodesics of a compact Riemannian manifold with strictly convex boundary or along light rays in Minkowski space. This problem is motivated by other geometric inverse problems and is tackled with a range of techniques including energy estimates, regularity results for the transport equation associated with the geodesic flow and microlocal analysis.