“Bulletin Board”

 School of Mathematics - December 30, 2006

Mathematical Lecture

Train Tracks and Simple Closed Curves:
Enumeration on Hyperbolic Surfaces

Maryam Mirzakhani,
Princeton University
Princeton, New Jersey, USA
Jan. 6, 2007

 
 
Train Tracks and Simple Closed Curves:
Enumeration on Hyperbolic Surfaces

Maryam Mirzakhani,
Princeton University
Princeton, New Jersey, USA



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
 
 
back to top
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
scroll left or right