Pure Maths Colloquium: Recovering a connection from parallel transport along geodesics
12 October 2015 16:00 in CM221
I will discuss the geometric inverse problem of recovering a unitary connection from the parallel transport along geodesics of a compact Riemannian manifold of negative curvature and strictly convex boundary. The solution to this problem is based on a range of techniques, including energy estimates and regularity results for the transport equation associated with the geodesic flow. The talk is aimed at a general audience and will put emphasis on the key ideas involved.
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