Speaker: Tianqi Wang，耶鲁大学

Inviter: 周正一

Title: Ending currents of hyperbolic group representations

Language: Chinese

Time & Venue: 2026.08.09 09:30-10:30 南楼N820

Abstract: We introduce notions of ending currents for properly discontinuous isometric actions of hyperbolic groups on Gromov hyperbolic spaces, generalizing Thurston’s ending laminations from the setting of Kleinian surface groups. In contrast with the 3-dimensional picture, we construct an example of geometrically finite representations of a closed surface group into SO+(4,1) whose parabolicity appears only at a non-simple closed geodesic, and an example of hyperbolic group extensions where different notions of ending currents, which coincide in the 3-dimensional setting, become distinct. This is joint work with Yair Minsky.