Forte Shinko, McGill

Borel complexity of boundary actions of hyperbolic groups

An active area of descriptive set theory seeks to compare and classify the complexity of Borel equivalence relations via the notion of Borel reduction. Given a group acting geometrically on a hyperbolic space, we will investigate the Borel complexity of the induced action on the Gromov boundary. This is joint work with Jingyin Huang and Marcin Sabok.