Workshop
Horocycles, Lipschitz maps, and laminations
E1 05 (Leibniz-Saal)
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.