Maximal representations, non-Archimedean Siegel spaces, and buildings

DOI10.2140/gt.2017.21.3539zbMath1402.22010arXiv1509.01184OpenAlexW2246206904MaRDI QIDQ2405506

Maria Beatrice Pozzetti, Marc Burger

Publication date: 26 September 2017

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.01184

zbMATH Keywords

affine buildingreal closed fieldmaximal representationcollar lemmanon-Archimedean symmetric spaces

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Groups with a (BN)-pair; buildings (20E42)

Related Items (13)

Positivity and higher Teichmüller theory ⋮ From Hyperbolic Dehn Filling to Surgeries in Representation Varieties ⋮ Schottky groups and maximal representations ⋮ Positively ratioed representations ⋮ Maximal and Borel Anosov representations into \(\mathrm{Sp}(4, \mathbb{R})\) ⋮ Boundary of the Gothen components ⋮ Hitchin representations of Fuchsian groups ⋮ Basmajian-type inequalities for maximal representations ⋮ The geometry of maximal representations of surface groups into \(\mathrm{SO}_0(2,n)\) ⋮ On the joint spectral radius for isometries of non-positively curved spaces and uniform growth ⋮ The real spectrum compactification of character varieties: characterizations and applications ⋮ A collar lemma for partially hyperconvex surface group representations ⋮ Positive configurations of flags in a building and limits of positive representations

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