16.30 Friday 4 October 2019
A survey of the anisotropic Calderon problem
The anisotropic Calderon problem is an inverse problem of a differential geometric nature which consists in recovering, up to some natural gauge equivalences, the metric of a compact Riemannian manifold with boundary from the knowledge of the Dirichlet-to-Neumann map for the Laplacian, at fixed energy. The Calderon problem has been the object of a significant amount of research activity in geometric analysis since it was first formulated by Calderon in 1980, and is still open in its most general form. After giving a motivated introduction to the problem, we shall review its current status and present some recently obtained counter-examples to uniqueness. These involve an unexpected mixture of conformal geometry and classical analysis.
The talk will take place in the Salle des Profs at 16:30. Coffee, tea and biscuits will be served in the foyer by the Salle des Profs, from 16:00. The Salle des Profs is on the 9th floor of building NO, of the Campus de la Plaine. Maps of the campus and directions are available here.
4 October 2019