36th Summer Topology Conference

July 18-22, 2022

University of Vienna, Department of Mathematics
Oskar-Morgenstern-Platz 1, 1090 Vienna, AUSTRIA

"Horocycle flows on Abelian covers of hyperbolic surfaces"

Ravotti, Davide

The horocycle flow on the unit tangent bundle of a surface of constant negative curvature is the unit speed translation along the stable leaves of the geodesic flow. When the surface is compact or of finite volume, its qualitative (as well as, to a good extent, its quantitative) ergodic properties are well-understood. In this talk, I will focus on the infinite volume case, in particular I will discuss a joint work in progress with Livio Flaminio on mixing properties of horocycle flows on Abelian covers of compact surfaces.

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