Date: Tuesday, October 23, 2012
Title: On complex hyperbolicity of moduli spaces of canonically polarized algebraic manifolds
Abstract: The purpose of the talk is to introduce the notions and explain a result on hyperbolicity of moduli spaces of canonically polarized algebraic manifolds, or equivalently moduli spaces of KaehlerEinstein manifolds of negative scalar curvature. It is a classical fact from the work of Ahlfors, Royden and Wolpert that the WeilPetersson metric on a moduli space of hyperbolic Riemann surface has holomorphic sectional curvature bounded from above by a negative constant and hence is Kobayashi hyperbolic. A natural question is whether similar properties hold in a higher dimensional analogue. I would explain a joint work with WingKeung To on the construction of a negatively curved Finsler metric on any moduli space of KaehlerEinstein manifolds with negative scalar curvature, from which Kobayashi hyperbolicity follows naturally.
Speaker: SaiKee Yeung
Institution: Purdue University
