Adelic superrigidity and profinitely solitary lattices

DOI10.2140/pjm.2021.313.137OpenAlexW3199863305MaRDI QIDQ2234344

Steffen Kionke, Holger Kammeyer

Publication date: 19 October 2021

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

Full work available at URL: https://arxiv.org/abs/2010.09562

zbMATH Keywords

arithmeticitysuperrigidityprofinite rigidity

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Limits, profinite groups (20E18)

Related Items (2)

MATRIX-MFO tandem workshop: Invariants and structures in low-dimensional topology. Abstracts from the MATRIX-MFO tandem workshop held September 5--11, 2021 (hybrid meeting) ⋮ On absolutely profinitely solitary lattices in higher rank Lie groups

Cites Work

• Homomorphismes abstraits de groupes algébriques simples
• Archimedean superrigidity and hyperbolic geometry
• On the congruence subgroup problem
• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• Schémas en groupes. III: Structure des schémas en groupes réductifs. Exposés XIX à XXVI. Séminaire de Géométrie Algébrique du Bois Marie 1962/64 (SGA 3), dirigé par Michel Demazure et Alexander Grothendieck. Revised reprint
• Compact Clifford-Klein forms of symmetric spaces
• Profinite properties of discrete groups
• An explicit rational structure for real semisimple Lie algebras
• Lattices in 𝑃𝑈(𝑛,1) that are not profinitely rigid
• Profinite commensurability of $S$-arithmetic groups

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