Workshop

Horocycles, Lipschitz maps, and laminations

Abstract

I will overview some recent results classifying horocycle orbit closures in Z-covers of closed hyperbolic surfaces and highlight the interplay between the geometry of best Lipschitz maps to the circle, dynamics of horocyles, and topology of a canonical geodesic lamination recovered from both perspectives. This is joint work with Or Landesberg and Yair Minsky.

Antje Vandenberg

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Samantha Fairchild

Max Planck Institute for Mathematics in the Sciences

James Farre

Max Planck Institute for Mathematics in the Sciences