Titulo: Actions of solvable groups on hyperbolic spaces Abstract: (joint work with A.Rasmussen and C.Abbott) Recent papers of Balasubramanya and Abbott-Rasmussen have classified the hyperbolic actions of several families of classically studied solvable groups. A key tool for these investigations is the machinery of confining subsets of Caprace-Cornulier-Monod-Tessera. This machinery applies in particular to solvable groups with virtually cyclic abelianizations.
In this talk, I will explain how to extend this machinery to classify the hyperbolic actions of certain solvable groups with higher rank abelianizations. We apply this extension to classify the hyperbolic actions of a family of groups related to Baumslag-Solitar groups.