On Kobayashi's conjecture for K3 surfaces and hyperkaehler manifolds
Time and place
12:20 PM on Thursday, November 3rd, 2016; NAC 6/113
Ljudmila Kamenova (Stony Brook University)
Abstract
The Kobayashi pseudometric on a complex manifold M is the maximal pseudometric such that any holomorphic map from the Poincare disk to M is distance-decreasing. Kobayashi conjectured that this pseudometric vanishes on Calabi-Yau manifolds. Using ergodicity of complex structures, we prove this conjecture for all K3 surfaces and for most classes of hyperkaehler manifolds. This is a joint work with S. Lu and M. Verbitsky.
