Back to Departmental Colloquium: Spring 2024
Departmental Colloquium
Date: Thursday, Jan 18, 2024
Time: 4:00PM - 5:00PM
Location: JWB 335
Francisco Arana-Herrera
University of Maryland
Title |
Closed geodesics on surfaces: topology, geometry, arithmetic |
Abstract |
The study of closed geodesics on hyperbolic surfaces is a subject that shares deep connections with many areas of mathematics. We survey classic and recent results in the subject, emphasizing the relations between three different perspectives: topology, geometry, and arithmetic. In particular, we discuss recently discovered connections with mapping class groups and Teichmüller dynamics. The talk assumes no previous knowledge on the subject and is aimed at a wide mathematical audience. |
Geometry and Topology