Trace formulas and Zeta functions in Spectral Geometry - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2017

Trace formulas and Zeta functions in Spectral Geometry

Olivier Lablée

Résumé

Trace formulas have been one of the most powerfull tools in spectral geometry. This article is an invitation to spectral geometry via trace formulas paradigm. The main goal of the present survey is to give some classical results concerning trace formulas in Riemannian geometry and to present some nice applications in conformal geometry and in dynamical systems. More precisely, we explain very recent results concerning the study of the geodesic flows on manifolds with negative variable curvature via the semi-classical zeta functions for contact Anosov flows.
Fichier principal
Vignette du fichier
TraceFormulas.pdf (318.07 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01504945 , version 1 (10-04-2017)

Identifiants

  • HAL Id : hal-01504945 , version 1

Citer

Olivier Lablée. Trace formulas and Zeta functions in Spectral Geometry. 2017. ⟨hal-01504945⟩

Collections

UGA CNRS FOURIER
203 Consultations
1944 Téléchargements

Partager

Gmail Facebook X LinkedIn More