Actions of certain solvable groups on hyperbolic metric spaces

Alex Rasmussen (Utah)

Abstract: In this talk I will discuss the classification of the cobounded hyperbolic actions of solvable Baumslag-Solitar groups and lamplighter groups. These groups have actions on trees which have convenient descriptions using ring theory. I will then discuss current work on generalizing this ring theoretic machinery, and possible applications to certain abelian-by-cyclic groups. This is joint work with Carolyn Abbott and Sahana Balasubramanya.