Representation varieties of arithmetic groups and polynomial periodicity of Betti numbers

DOI10.1007/BF02937507zbMath0858.22016MaRDI QIDQ1343845

Scot Adams

Publication date: 23 March 1997

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

congruence subgroupalgebraic grouptopological spacearithmetic groupsBetti numberscongruence representationspolynomial periodic sequence

Mathematics Subject Classification ID

Linear algebraic groups over global fields and their integers (20G30) Hecke-Petersson operators, differential operators (one variable) (11F25) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) Shapes (aspects of topological manifolds) (57N25)

Related Items

Betti numbers of congruence groups. (Appendix: On representations of compact \(p\)-adic groups by Ze'ev Rudnick), Some cyclic covers of complements of arrangements

Cites Work

• Representation varieties of solvable groups
• Archimedean superrigidity and hyperbolic geometry
• Polynomial periodicity for Betti numbers of covering surfaces
• Betti numbers of congruence groups. (Appendix: On representations of compact \(p\)-adic groups by Ze'ev Rudnick)
• Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one
• Théoremes de finitude en cohomologie galoisienne
• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• Varieties of representations of finitely generated groups
• On the Existence of Irreducible Discrete Subgroups in Isotypic Lie Groups of Classical Type
• Density and maximality of arithmetic subgroups.
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