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Positive crossratios, barycenters, trees and applications to maximal representations

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We study metric properties of maximal framed representations of fundamental groups of surfaces in symplectic groups over real closed fields, interpreted as actions on Bruhat–Tits buildings endowed with adapted Finsler norms. We prove that the translation length can be computed as intersection with a...

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Main Authors: Burger, Marc (Author) , Iozzi, Alessandra (Author) , Parreau, Anne (Author) , Pozzetti, Maria Beatrice (Author)
Format: Article (Journal)
Language:English
Published: 1 February 2024
In: Groups, geometry, and dynamics
Year: 2024, Volume: 18, Issue: 3, Pages: 799-847
ISSN:1661-7215
DOI:10.4171/ggd/767
Online Access:Verlag, kostenfrei, Volltext: https://doi.org/10.4171/ggd/767
Verlag, kostenfrei, Volltext: https://ems.press/journals/ggd/articles/14199191
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Author Notes:Marc Burger, Alessandra Iozzi, Anne Parreau, and Maria Beatrice Pozzetti
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Positive crossratios, barycenters, trees and applications to maximal representations by Burger, Marc (Author) , Iozzi, Alessandra (Author) , Parreau, Anne (Author) , Pozzetti, Maria Beatrice (Author) ,


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