Asymptotique des nombres de Betti des variétés arithmétiques

Details Asymptotique des nombres de Betti des variétés arithmétiques Asymptotique des nombres de Betti des variétés arithmétiques

2008-06-25

arxiv.org/abs/0806.4176v1

Mathematics

Number Theory

Scientific paper

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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