Lectures and notes: Mirzakhani's volume recursion and approach for the Witten-Kontsevich theorem on moduli tautological intersection numbers

Abstract

The materials accompany a lecture short course presented at the 2011 Park City Mathematics Institute, Graduate Summer School on Moduli Spaces of Riemann Surfaces. The lectures were part of/coordinated with an overall program, including lectures by Ursula Hamenstadt on Teichmueller Theory, Andy Putman on Mapping Class and Torelli Groups, and Carel Faber on Tautological algebras of Moduli Spaces.

The lectures begin in Section 3 on page 8

References in corpus (2)

• Mirzakhani's recursion relations, Virasoro constraints and the KdV hierarchy
• Growth of Weil-Petersson volumes and random hyperbolic surfaces of large genus