SMS scnews item created by Stephan Tillmann at Tue 26 Jul 2016 1548
Type: Seminar
Distribution: World
Expiry: 25 Oct 2016
Calendar1: 27 Jul 2016 1200-1300
CalLoc1: Carslaw 535A
CalTitle1: Veech surfaces and simple closed curves
Auth: tillmann@p710.pc (assumed)

Geometry & Topology

Veech surfaces and simple closed curves

Robert Tang (Oklahoma)

Wednesday 27 July 2016 from 12:00–13:00 in Carslaw 535A

Please join us for lunch after the talk!


Abstract: Veech surfaces are a class of "very symmetric" flat surfaces possessing dynamical properties akin to flat tori. The first interesting examples were discovered by Veech in the context of billiard trajectories on rational polygons. In this talk, I will introduce some basic notions, and state some characterisations of Veech surfaces due to Smillie-Weiss and Vorobets. Our main result is a new characterisation of Veech surfaces using lengths of simple closed curves. This is joint work with Max Forester and Jing Tao.


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