Colloquium: Gabriel Paternain (University of Cambridge)

Title:  Nonlinear detection of connections
Location: South Hall 6635
Abstract: 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.
  • colloquium
  • Geometry