Appears in collection : 2025 - T2 - WS2 - Low-dimensional phenomena: geometry and dynamics

I will discuss recent joint work with Martin Bobb, in which we study surface subgroups of $\mathrm{PGL}(4,\mathbb R)$ that act convex cocompactly on $\mathbb{RP}^3$ as well as their degenerations. I will focus on surface subgroups of the general coaffine group (the stabilizer of a line in $\mathbb{R}^4$). If time permits, I will also construct Zariski dense "bending lines" as an application.