School Seminars and Colloquia

A new path to Witten's conjecture via hyperbolic geometry

Geometry/Topology Seminar

by Norman Do

Institution: The University of Melbourne
Date: Tue 6th May 2008
Time: 1:15 PM
Location: Russell Love Theatre, Richard Berry Building, Uni of Melb

Abstract: One of the landmark results on moduli spaces of curves is Witten's
conjecture. Kontsevich's proof of this fact relies on an amazing
combinatorial formula which relates intersection numbers on moduli spaces
with enumeration of ribbon graphs. More recently, Mirzakhani gave an
entirely different proof by relating these intersection numbers to the
volumes of moduli spaces of hyperbolic surfaces. In this talk, I will give
a brief introduction to moduli spaces before outlining how Kontsevich's
combinatorial formula emerges naturally from the asymptotics of
Mirzakhani's volumes.

For More Information: Contact: Lawrence Reeves