Interval exchange transformations and translation surfaces in genus 2
Anja Randecker (University of Heidelberg)
Abstract: Translation surfaces arise naturally in many different contexts such as the theory of mathematical billiards, of Teichmüller spaces, or of stability conditions of categories. A translation surface can be described by finitely many polygons that are glued along edges which are parallel and have the same length.
From a dynamical system point of view, it is interesting to study the geodesic flow on translation surfaces. These flows are strongly related to interval exchange transformations.
In my talk, I will explain this relation and give an explicit description of translation surfaces of genus 2 where the horizontal geodesic flow is completely periodic. The talk is based on joint work in progress with Binbin Xu.
dynamical systems
Audience: researchers in the topic
Bremen Online Dynamics Seminar
Series comments: Talks are approx. 55 min plus discussion. Talks are not recorded.
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| Organizer: | Researchers from University of Bremen and Jacobs University Bremen |
| Curator: | Anke Pohl* |
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