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YMSC Topology Seminar | Horospheres, Lipschitz maps, and laminations

来源: 11-14

时间:Tues., 16:00-17:00, Nov.14, 2023

地点:Zoom ID: :405 416 0815, PW: 111111

组织者:陈伟彦、高鸿灏、黄意、江怡 、林剑锋

主讲人:James FARRE MPI Leipzig

Abstract:

Every horocycle in a closed hyperbolic surface is dense, and this has been known since the 1940's. We study the behavior of horocycle orbit closures in Z-covers of closed surfaces, and obtain a fairly complete classification of their topology and geometry. The main tool is a solution of a surprisingly delicate geometric optimization problem: finding an optimal Lipschitz map to the circle and the associated lamination of maximal stretch. I will focus on a novel construction of these optimal Lipschitz maps using the orthogeodesic foliation construction. This is joint work with Yair Minsky and Or Landesberg featuring joint work with Aaron Calderon.

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