Resonant spaces for volume-preserving Anosov flows

Lundi 20 janvier 14:00-15:00 - Mihajlo Cekic - LMO

Résumé : Recently Dyatlov and Zworski proved that the order of vanishing of the Ruelle zeta function at zero, for the geodesic flow of a negatively curved surface, is equal to the negative Euler characteristic. They more generally considered contact Anosov flows on 3-manifolds. In this talk, I will discuss an extension of this result to volume-preserving Anosov flows, where new features appear : the winding cycle and the helicity of a vector field. A key question is the (non-)existence of Jordan blocks for one forms and I will give an example where Jordan blocks do appear, as well as describe a resonance splitting phenomenon near contact flows. This is joint work with Gabriel Paternain.

Lieu : IMO ; salle 3L8.

Notes de dernières minutes : Report de la séance annulée du 16/12/19.

Resonant spaces for volume-preserving Anosov flows  Version PDF