Termin: Detail

James Farre (MPI-MiS) - Horospheres, Lipschitz maps, and laminations

Ort: Seminargebäude S-213

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.

Seminar Webpage: https://www.math.uni-leipzig.de/cms2/en/institut/seminare/acseminar/">https://www.math.uni-leipzig.de/cms2/en/institut/seminare/acseminar/

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Beginn: 23. November 2023 13:15

Ende: 23. November 2023 14:15