|Date: Monday, February 05, 2018
Location: 4096 East Hall (4:00 PM to 6:00 PM)
Title: Volumes of strata of differentials and intersection theory on moduli spaces of curves.
Abstract: The Hodge bundle is the moduli space parametrizing Riemann surfaces endowed with a holomorphic differential. This space is stratified according to the set of orders of zeros of the differentials. In the 80's H. Masur and W. Veech defined two numerical invariants of strata of differentials: the volume and the Siegel-Veech constant. Based on numerical experiments, A. Eskin and A. Zorich proposed a series of conjectures for the large genus asymptotics of these invariants. We will explain how to compute the volumes of strata in terms of Hodge integrals on moduli spaces of curves and how to deduce some asymptotic properties from this.
Speaker: Adrien Sauvaget
Institution: Paris VI