Salomon Bochner Lectures in Mathematics, 2004-2005



Rice University
Department of Mathematics


Maryam Mirzakhani

Princeton University
Clay Mathematics Institute

September 20, 2005 - September 23, 2005



Tuesday, September 20
4 PM - 5 PM     Herman Brown 227
From simple geodesics on hyperbolic surfaces to the Weil-Petersson geometry of the moduli space of curves


Wednesday, September 21
4 PM - 5 PM     Herman Brown 227
Counting simple closed geodesics on hyperbolic surfaces and measured lamination


Friday, September 23
4 PM - 5 PM     Herman Brown 227
Intersection theory of the moduli space of curves and cut and join equation
In this lecture series, we discuss the relationship between simple geodesics o hyperbolic surfaces and the Weil-Petersson geometry of the moduli space of curves. We give a recursive method for calculating Weil-Petersson volume of the moduli space of bordered Riemann surfaces. Also, we study the growth of the number of simple closed geodesics on hyperbolic surfaces. Finally, we obtain a new proof of the Witten-Kontsevich formula for the intersection numbers of tautological classes on the moduli space of curves.


There will be a tea preceding each lecture at 3:30PM in the Mathematics Commons Room, Herman Brown 438.


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