Colin Davalo

collaborators

4 papers

math.GT2025

On Einstein Structures for $SO_{0} (p, p + 1)$ -Surface Group Representations

Colin Davalo, Parker Evans

Let $S$ be a closed surface of genus $g \geq 2$ . We study the cocompact domain of discontinuity $Ω_{ρ}$ in the Einstein universe $Ein^{p - 1, p}$ defined by Guichard-Wienhard a…

math.DG2025

$G_{2}^{'}$ -Slodowy Slices I: Geometric Structures

Colin Davalo, Parker Evans

Let $S$ be a closed surface of genus $g \geq 2$ . We construct locally homogeneous geometric structures on closed 5-manifolds fibering over $S$ , modeled on the two partial flag mani…

math.GT2024

Geometric structures for maximal representations and pencils

Colin Davalo

We study fibrations of the projective model for the symmetric space associated with $SL (2 n, R)$ by codimension $2$ projective subspaces, or pencils of quadrics. In p…

math.GT2024

Dirichlet domains for Anosov subgroups

Colin Davalo, J. Maxwell Riestenberg

We introduce a sufficient condition for a finitely generated subgroup $Γ$ of a semisimple Lie group $G$ to admit finite-sided Dirichlet domains for polyhedral Finsler metrics on th…

On Einstein Structures for SO0​(p,p+1)-Surface Group Representations

G2′​-Slodowy Slices I: Geometric Structures

Geometric structures for maximal representations and pencils

Dirichlet domains for Anosov subgroups

On Einstein Structures for $SO_{0} (p, p + 1)$ -Surface Group Representations

$G_{2}^{'}$ -Slodowy Slices I: Geometric Structures