Resonances for geodesic flows on negatively curved manifolds.

Frédéric Faure (1) , Masato Tsujii (2)

1 IF - Institut Fourier
2 Department of Mathematics

We report some recent progress in the study of geodesic flows on negatively curved manifolds (or more generally contact Anosov flows). We consider one-parameter groups of transfer operators associated to the flows and investigate the spectra of their generators. The main ingredients are the recent results about a {\it band structure} of the discete spectrum, which are obtained in the authors' joint works.

Domaines: Mathématiques [math]; Physique mathématique [math-ph]

Frédéric Faure, Masato Tsujii. Resonances for geodesic flows on negatively curved manifolds.. International Congress of Mathematicians (ICM), 2014, Séoul, South Korea. ⟨hal-01655918⟩