Orateur(s)  Spyros Alexakis  Toronto,

Titre  Recovering a Riemannian metric from area data 
Date  31/05/2016 
Horaire  14:00 à 15:00 

Résume  We consider the following geometric inverse problem: Consider a simply connected Riemannian 3manifold (M,𝑔) with boundary. Assume that given any closed loop γ on the boundary, one knows the areas of the corresponding minimal surfaces with boundary γ. Then from this information can one reconstruct the metric 𝑔? We answer this in the affirmative in many cases. We will briefly discuss the relation of this problem with the question of reconstructing a metric from lengths of geodesics, and also with the Calderon problem of reconstructing a metric from the DirichlettoNeumann operator for the corresponding LaplaceBeltrami operator. Joint with T. Balehowsky and A. Nachman. 
Salle  Barre 1525, 5ème étage, salle 02 
Adresse  Campus Pierre et Marie Curie 