Corpus ID: 116001578

# Sur la cohomologie et le spectre des vari et es localement sym etriques

@inproceedings{Bergeron2006SurLC,
title={Sur la cohomologie et le spectre des vari et es localement sym etriques},
author={N. Bergeron},
year={2006}
}
This volume is intended as an expository account of some re- sults and problems concerning the cohomology of locally symmetric spaces (especially arithmetic ones) and the relationship with the spectral theory of automorphic forms. The discussion is divided into four chapters: { A general introduction to arithmetic manifolds, Matsushima's formula and cohomological representations; { Cohomology of hyperbolic manifolds; { Isolation properties in the automorphic spectrum; { Cohomology of arithmetic… Expand
2 Citations
Benjamini-Schramm convergence of locally symmetric spaces
The main theme of this work is the study of geometry and topology of locally symmetric spaces Gamma\ X as ther volume Vol(\Gamma\ X) tends to infinity. Our first main result concerns theExpand
Strong limit multiplicity for arithmetic hyperbolic surfaces and 3-manifolds
We show that every sequence of torsion free arithmetic congruence lattices in ${\rm PGL}(2,\mathbb R)$ or ${\rm PGL}(2,\mathbb C)$ satisfies a strong quantitative version of the Limit MultiplicityExpand

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