Fenchel-Nielsen Coordinates on Teichmüller Space

Series
Geometry Topology Student Seminar
Time
Wednesday, November 12, 2014 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Jamie Conway – Georgia Tech
Organizer
James Conway
A surface with negative Euler characteristic has a hyperbolic metric. However, this metric is not unique. We will consider the Teichmüller space of a surface, which is the space of hyperbolic structures up to an equivalence relation. We will discuss the topology of and how to put coordinates on this space. If there is time, we will see that the lengths of 9g-9 curves determine the hyperbolic structure.