Titre :

Quasi-isometric invariance of continuous group L p -cohomology, and first applications to vanishings

Auteur(s) :

Bourdon, Marc [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Rémy, Bertrand [Auteur]
Centre de Mathématiques Laurent Schwartz [CMLS]

Titre de la revue :

Annales Henri Lebesgue

Pagination :

1291-1326

Éditeur :

UFR de Mathématiques - IRMAR

Date de publication :

2020-11-05

ISSN :

2644-9463

Discipline(s) HAL :

Mathématiques [math]

Résumé en anglais : [en]

We show that the continuous L p-cohomology of locally compact second countable groups is a quasi-isometric invariant. As an application, we prove partial results supporting a positive answer to a question asked by M. Gromov, ...
Lire la suite >We show that the continuous L p-cohomology of locally compact second countable groups is a quasi-isometric invariant. As an application, we prove partial results supporting a positive answer to a question asked by M. Gromov, suggesting a classical behaviour of continuous L p-cohomology of simple real Lie groups. In addition to quasi-isometric invariance, the ingredients are a spectral sequence argument and Pansu's vanishing results for real hyperbolic spaces. In the best adapted cases of simple Lie groups, we obtain nearly half of the relevant vanishings.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Projet ANR :

Méthodes géométriques en théorie de Lie

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL