Mathematics - Florida State University
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Peter Buser



Speaker: Peter Buser
Title: Graphical Presentation of the Birman-Series Set on Hyperbolic Surfaces
Affiliation: Swiss Federal institute of Technology
Date: Friday, January 9, 2009
Place and Time: Room 101, Love Building, 3:35-4:30 pm
Refreshments: Room 204, Love Building, 3:00 pm

Abstract. It is well known that complete geodesics on a compact negatively curved manifold are dense. In contrast to this, Birman and Series showed that in dimension two (and constant curvature), the sublocus of this set formed by the simple complete geodesics is nowhere dense. The lecture presents algorithms that compute this set up to a given degree of accuracy. A difficulty occurs from the fact that in negative curvature, geodesics spread with exponential speed. In the lecture it is shown how one may solve this without having to resort to ultra high precision.


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Last modified: Thursday January 8th, 2009