3 problems

Generalized Andreev conjecture. There exists a compact convex hyperbolic polyhedron $Q$ combinatorially equivalent to $P$ whose dihedral angles are given by $\Theta$, and $Q$ is un…

Let $\Gamma$ be a planar $3$-connected graph, let $\overline{\Gamma}$ denote the associated maximal-volume proper generalized hyperbolic polyhedron, and let $col$ be any $r$-admiss…

The volume conjecture for polyhedra.