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 cir...
Waves, gravitation, and geometryOrganizers:Lars Andersson, Pieter Blue, Siyuan Ma and Pin YuSpeaker:Yi Zhou 周忆Fudan UniversityTime:Wednesday 10:00am-12:00pmOct. 30, 2024Venue:Jingzhai 105Online:Zoom 518 868 7656Passcode: BIMSATitle:A physical space approach to bilinear estimate and its applications to nonlinear wave and dispersive equationsAbstract:I will give a brief introduction to a...