Following the work of Burger, Iozzi and Wienhard for representations, in this paper we
introduce the notion of maximal measurable cocycles of a surface group. More precisely, let …

Let Γ be a torsion-free lattice of PU (p, 1) with p≥ 2 and let (X, μ X) be an ergodic standard
Borel probability Γ-space. We prove that any maximal Zariski dense measurable cocycle σ …

We introduce coordinates on the spaces of framed and decorated representations of the
fundamental group of a surface with nonempty boundary into the symplectic group $ Sp …

Dans cette thèse, on étudie des marches aléatoires induites par des actions de groupes
probabilisés sur des espaces de courbure négative ou nulle. On décrit en particulier le cas …

Consider a non-elementary group action of a locally compact second countable group $ G $
on a possibly non-discrete building $ X $ of type $\tilde {A} _2 $. We study $ G $-equivariant …

We give a notion of boundary pair $(\mathcal {B} _-,\mathcal {B} _+) $ for measured
groupoids which generalizes the one introduced by Bader and Furman for locally compact …

Maximal representations into Lie groups of Hermitian type have been introduced in [7], and
further studied in [2, 6, 26]. All maximal representation are discrete embeddings, and spaces …

We construct a two-parameter family of irreducible representations of PSL 2 (R) in the
isometry group of the infinite-dimensional complex hyperbolic space. To this end, we …

We study representations G→ H where G is either a simple Lie group with real rank at least
2 or an infinite dimensional orthogonal group of some quadratic form of finite index at least 2 …

We prove that there exists no irreducible representation of the identity component of the
isometry group PO (1, n) PO (1, n) of the real hyperbolic space of dimension n into the group …