Jean-François LAFONT – Obstructions to Anosov diffeomorphisms Carte non disponible Date/heure Date(s) - 1 juillet 2016 Catégories Pas de Catégories A diffeomorphism f of a closed Riemannian manifold M is Anosov if TM has a splitting as a Whitney sum of two df-invariant subbundles, and df acts expansively on one of the subbundles, and contractively on the other.The only known examples of manifolds supporting an Anosov map are (certain) infranilmanifolds prompting Smale to ask whether manifolds having an Anosov diffeomorphism necessarily have to be infranil. In this talk, I will survey the known obstructions to having an Anosov diffeomorphism. I will also outline some recent work with Andrey Gogolev showing that products of certain aspherical manifolds with nilmanifolds do not support Anosov diffeomorphisms. https://math.osu.edu/people/lafont.1 Jean-François LAFONT [
Jean-François LAFONT – Obstructions to Anosov diffeomorphisms Carte non disponible Date/heure Date(s) - 1 juillet 2016 Catégories Pas de Catégories A diffeomorphism f of a closed Riemannian manifold M is Anosov if TM has a splitting as a Whitney sum of two df-invariant subbundles, and df acts expansively on one of the subbundles, and contractively on the other.The only known examples of manifolds supporting an Anosov map are (certain) infranilmanifolds prompting Smale to ask whether manifolds having an Anosov diffeomorphism necessarily have to be infranil. In this talk, I will survey the known obstructions to having an Anosov diffeomorphism. I will also outline some recent work with Andrey Gogolev showing that products of certain aspherical manifolds with nilmanifolds do not support Anosov diffeomorphisms. https://math.osu.edu/people/lafont.1 Jean-François LAFONT [