Séminaire - Janvier
Le séminaire aura lieu un mercredi par mois de 14h à 15h à l'Institut Henri Poincaré à Paris. Pour télécharger l'affiche du mois: janvier.pdf.
- 16/01/2019 - Federico Rodriguez-Hertz (Penn State University) - salle 421
Titre:
Classification of Anosov actions and first cohomology
Resumé: In
the late 60’s and early 70’s it was conjectured
that Anosov diffeomorphisms have an algebraic origin, indeed that
Anosov diffeomorphisms are topologically conjugated to algebraic
automorphisms of infranilmanifolds. In this direction, J. Franks and A.
Manning showed that if the underlying manifold is an infranilmanifold
the Anosov diffeomorphism is topologically conjugated to an algebraic
one. When the acting group is higher rank, strong rigidity results are
expected and it is conjectured that actions of higher rank lattices
with an Anosov element should be on infranilmanifolds and smoothly
equivalent to algebraic. In this talk I will discuss some recent
advances in this direction, proving results analogous to Franks-Manning
in the setting of higher rank abelian actions and higher rank lattices
on semisimple Lie groups actions. This is a joint project with A. Brown
and Z. Wang.