10 citations · 16 across the 2 of their papers we have counts for
4 papers · 1 filter
Positive crossratios, barycenters, trees and applications to maximal representations
Marc Burger, Alessandra Iozzi, Anne Parreau +1
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 b…
The real spectrum compactification of character varieties: characterizations and applications
Marc Burger, Alessandra Iozzi, Anne Parreau +1
We announce results on a compactification of general character varieties that has good topological properties and give various interpretations of its ideal points. We relate this t…
A structure theorem for geodesic currents and length spectrum compactifications
Marc Burger, Alessandra Iozzi, Anne Parreau +1
We find a canonical decomposition of a geodesic current on a surface of finite type arising from a topological decomposition of the surface along special geodesics. We show that ea…
Invariant subspaces for some surface groups acting on A2-Euclidean buildings
Anne Parreau
This paper deals with non-Archimedean representations of punctured surface groups in PGL(3), associated actions on Euclidean buildings (of type A2), and degenerations of real conve…