Séminaires : Séminaire d'Analyse et Géométrie

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There is a well known connection between curvature and isoperimetric inequalities on smooth Riemannian manifolds, motivated in particular by the presence of a Ricci curvature term in the second variation formula for the area of hypersurfaces. The goal of this talk will be to review some recent developments around this classical topic and to illustrate the role of geometric analysis on non smooth metric measure spaces