Chris Karpinski (McGill University)

Title: Hyperfiniteness of the Action of Relatively Hyperbolic Groups on their Bowditch Boundary.

Abstract: An equivalence relation is called hyperfinite if it is an increasing union of equivalence relations with finite equivalence classes. We generalize the work of Marquis and Sabok for the case of hyperbolic groups acting on their Gromov boundary to show that the action of relatively hyperbolic groups on their Bowditch boundary induces a hyperfinite orbit equivalence relation.