26/07/2018, 16:30 — 17:30 — Room P3.10, Mathematics Building
Bruno Oliveira, University of Miami
Hyperbolicity of projective manifolds (II)
We continue to discuss several ideas and methods used in studying the Kobayshi hyperbolicity of projective manifolds. A manifold $X$ is said to be hyperbolic if there are no nonconstant holomorphic maps from the complex line to $X$. This is a subject that brings together methods of algebraic geometry, complex analysis and differential geometry.
We will discuss the key and well understood case of dimension $1$. We will have several distinct characterizations of hyperbolicity and see how that extend for projective manifolds of higher dimension. We will also discuss the related Green-Griffiths-Lang conjecture.
This is the second part of a two seminar set, but can be followed independently of the first seminar.