Asymptotique des nombres de Betti des variétés arithmétiques

Abstract : We study the question of the growth of Betti numbers of certain arithmetic varieties in tower of congruence coverings. In fact, our results are about Siegel varieties and varieties associated to orthogonal groups. We explain how a theorem of Waldspurger can be used to obtain lower and upper bound. Our results are in the direction of conjectures made by Sarnak and Xue.
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https://hal.archives-ouvertes.fr/hal-00290583
Contributor : Mathieu Cossutta <>
Submitted on : Wednesday, June 25, 2008 - 5:15:28 PM
Last modification on : Tuesday, April 2, 2019 - 2:15:44 PM
Document(s) archivé(s) le : Friday, May 28, 2010 - 10:50:39 PM

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  • HAL Id : hal-00290583, version 1
  • ARXIV : 0806.4176

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Mathieu Cossutta. Asymptotique des nombres de Betti des variétés arithmétiques. 2008. ⟨hal-00290583⟩

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