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 …

We study the relative SU (2, 1)-character varieties of the one-holed torus, and the action of
the mapping class group on them. We use an explicit description of the character variety of …

We classify the Teichm\" uller curves in the moduli space of genus three Riemann surfaces
$\mathcal M_3 $ that are obtained by a covering construction from a primitive Teichm\" uller …

Denote by Σg, n an oriented compact surface of genus g with n boundary components, and
by Γg, na fundamental group of Σg, n for all g, n⩾ 0. For simplicity, we denote Σg, 0 by Σg …

Let S be a closed surface of genus g greater than zero. In the present paper, we study the
topological-dynamical action of the mapping class group on the Tn-character variety giving …

We define a class of representations of the fundamental group of a closed surface of genus
$2 $ to $\mathrm {PSL} _2 (\mathbb C) $: the pentagon representations. We show that they …

Dans cette thèse, on étudie les holonomies des structures projectives complexes sur les
surfaces. Dans une première partie, on introduit une classe de représentations d'un groupe …

This note investigates the dynamics of the mapping class group action on compact
connected components of relative character varieties of surface group representations into …

The main objects of study in this thesis will be surfaces, ie compact, connected, oriented 2-
manifolds. One of the crowning achievements of 19th century mathematics was the …