4 problems

A group is cubulable if it acts properly and cocompactly on a median graph, and it is acylindrically hyperbolic if it admits a non-elementary acylindrical action on a hyperbolic sp…

A group is cubulable if it acts properly and cocompactly on a median graph. For $n\geq 1$, $(\mathrm{FW}_n)$ denotes the fixed-point property for actions on median graphs of cubica…

Let $W_{\Gamma}$ be a right-angled Coxeter group. A cubical coarse median rigidity conjecture. 1. There are only finitely many cubical coarse median structures on $W_{\Gamma}$. 2.…

Cubulation conjecture. Assume that either $n \leq 3$ or that $M$ is arithmetic of simplest type. Then, for every $\lambda > 1$, there is a compact cubical model $X$ such that there…