Journal article
On the growth of $L^2$-invariants for sequences of lattices in Lie groups
- Abstract:
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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 to adapt the notion of Benjamini--Schramm convergence (BS-convergence), originally introduced for sequences of finite graphs of bounded degree, to sequences of Riemannian manifolds, and analyze th...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Accepted manuscript, pdf, 733.9KB)
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- Publisher copy:
- 10.4007/annals.2017.185.3.1
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Authors
Funding
MTA Renyi “Lendulet” Groups and Graphs Research Group
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Institut Universitaire de France
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Engineering and Physical Sciences Research Council
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Bibliographic Details
- Publisher:
- Department of Mathematics, Princeton University Publisher's website
- Journal:
- Annals of Mathematics Journal website
- Volume:
- 185
- Issue:
- 3
- Pages:
- 711-790
- Publication date:
- 2017-04-12
- Acceptance date:
- 2016-12-18
- DOI:
- EISSN:
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1939-8980
- ISSN:
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0003-486X
- Source identifiers:
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354423
Item Description
Terms of use
- Copyright holder:
- Department of Mathematics, Princeton University
- Copyright date:
- 2017
- Notes:
- © Department of Mathematics, Princeton University. This is the accepted manuscript version of the article. The final version is available online from the Department of Mathematics, Princeton University at: [10.4007/annals.2017.185.3.1]
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