On the growth of Betti numbers of locally symmetric spaces

We announce new results concerning the asymptotic behavior of the Betti numbers of higher rank locally symmetric spaces as their volumes tend to infinity. Our main theorem is a uniform version of the L\"uck Approximation Theorem \cite{luck}, which is much stronger than the linear upper bounds o...

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Main Authors: Abert, M, Bergeron, N, Biringer, I, Gelander, T, Nikolov, N, Raimbault, J, Samet, I
格式: Journal article
语言:English
出版: 2011