We prove that a representation from the fundamental group of a closed surface of negative
Euler characteristic with values in the isometry group of a Riemannian manifold of sectional …

We classify the finite orbits of the mapping class group action on the character variety of
Deroin--Tholozan representations of punctured spheres. In particular, we prove that the …

We show that a Hitchin representation is determined by the spectral radii of the images of
simple, non-separating closed curves. As a consequence, we classify isometries of the …

In this partly expository monograph, we develop a general framework for producing
uncountable families of exotic actions of certain classically studied groups acting on the …

These notes grew out of a graduate course I gave on Anosov representations at the
University Michigan in Winter 2020. They became more formal, when our class went on-line …

Let Γ be a one-ended, torsion-free hyperbolic group and let G be a semisimple Lie group
with finite center. Using the canonical JSJ splitting due to Sela, we define amalgam Anosov …

We survey recent work on the dynamics of the outer automorphism group of a word
hyperbolic group on spaces of (conjugacy classes of) representations ofthe group into a …

Ce travail étudie les variétés pseudo-riemanniennes compactes localement homogènes à
travers le prisme des (G, X)-structures, introduites par Thurston dans son programme de …

arXiv:1710.04902v2 [math.GT] 12 Feb 2018 Page 1 RIGIDITY AND GEOMETRICITY FOR
SURFACE GROUP ACTIONS ON THE CIRCLE KATHRYN MANN AND MAXIME WOLFF …

Let X be the space of isometry classes of ordered sextuples of points in the hyperbolic plane
such that the product of the six corresponding rotations of angle is the identity. This space X …