Réunion d'été SMC 2026
Saint John, 5 - 8 juin 2026
Conférences plénières
- JULIA GORDON, University of British Columbia
- NIKY KAMRAN, McGill University
A survey of the Calder\'on inverse problem. [PDF]
- NIKY KAMRAN, McGill University
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The Calder\'on inverse problem in geometric analysis asks if the metric of a smooth compact Riemannian manifold with boundary is uniquely determined from the knowledge of the Dirichlet-to-Neumann map, that is the map that assigns to prescribed boundary data the normal derivative of the corresponding solution of the Laplace-Beltrami equation. While the Calder\'on inverse problem is still open in its full generality, there are a number of interesting and at times surprising results that provide either an affirmative answer or counterexamples, depending on which special assumptions are made about the background geometry. The talk will be an introduction to the Calder\'on problem and a survey of some of the main uniqueness and non-uniqueness results.
- JHONEL MORVAN, Université de l'Ontario français