Abstract

In this talk, we will discuss the problem of counting simple closed geodesic curves on hyperbolic surfaces. We describe a combinatorial approach for generating simple closed curves using "train tracks" - certain graphs embedded on the surface. Using Fenchel-Nielson theory, we then sketch the relationship between this problem and the geometry of moduli space of Riemann surfaces.



Information:

Date:	Saturday, Jan. 6, 2007, 16:30-18:00
Place:	Niavaran Bldg., Niavaran Square, Tehran, Iran