Séance Séminaire

Séminaire Gaston Darboux

Enlargeability, foliations and positive scalar curvature

I will review the results of Lichnerowicz, Connes, and Gromov-Lawson which relate geometry and characteristic numbers to the existence and non-existence of metrics of positive scalar curvature. If time permits, I will show that a spin foliation with Hausdorff homotopy groupoid of an enlargeable manifold admits no metric of positive scalar curvature. This is joint work with Moulay Benameur.