On the growth of $L^2$-invariants for sequences of lattices in Lie groups

We study the asymptotic behaviour of Betti numbers, twisted torsion and other spectral invariants of sequences of locally symmetric spaces. Our main results are uniform versions of the DeGeorge--Wallach Theorem, of a theorem of Delorme and various other limit multiplicity theorems. A basic idea is...

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Bibliographic Details
Main Authors: Abert, M, Bergeron, N, Biringer, I, Gelander, T, Nikolov, N, Raimbault, J, Samet, I
Format: Journal article
Published: Department of Mathematics, Princeton University 2017