# Automorphic Lefschetz properties via $L^2$ cohomology

Abstract : In this paper one proves a special case of a conjecture by Nicolas Bergeron. This conjecture is a kind of automorphic Lefschetz property. It relates the primitive cohomology of a locally symmetric manifolds modeled on $U(p,q+r)$ to the primitive cohomology of some of its totally geodesic submanifolds that are locally symmetric and modeled on $U(p,q)$.
Keywords :
Document type :
Preprints, Working Papers, ...
Domain :
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-00421219
Contributor : Mathieu Cossutta <>
Submitted on : Thursday, October 1, 2009 - 12:01:41 PM
Last modification on : Tuesday, April 2, 2019 - 2:15:59 PM
Document(s) archivé(s) le : Wednesday, June 16, 2010 - 12:16:15 AM

### Files

col26.pdf
Files produced by the author(s)

### Identifiers

• HAL Id : hal-00421219, version 1
• ARXIV : 0910.0142

### Citation

Mathieu Cossutta. Automorphic Lefschetz properties via $L^2$ cohomology. 2009. 〈hal-00421219〉

Record views

Files downloads