3 problems

Let $\mathsf G$ be a real reductive Lie group admitting a $\Theta$-positive structure, where $\Theta$ is a set of simple roots. A representation of a surface group into $\mathsf G$…

The type $B_{p-1}$ positivity conjecture. The positive $\mathrm{Cl}(\mathbb{R}^{1,q-p+1})$-points of these ST-compatible quivers should parameterize $\Theta$-positive representatio…

Let $S$ be a closed orientable surface and let $G$ be a simple Lie group. Consider components of the representation variety of surface groups into $G$ that consist entirely of disc…