Abstract: It has been a long standing conjecture in hyperbolic geometry thathyperbolic compact complex manifold are projective and have negative Ricci curvature, known for the Kaehler case only up to dimension two via the classification of surfaces. We will verify a differential geometric version of this conjecture up to dimension three by a combination of differential geometry and algebraic geometry, bypassing classification, and for higher dimensional projective varieties modulo the abundance conjecture.
Tea Time: 3:30pm R707
2010-12-02 16:00 ~ 2010-12-02 17:00
Prof. Steven Lu (University of Quebec at Montreal)