Title: On dominability of hyperKaehler manifolds

Abstract: An $n$-dimensional complex manifold $M$ is dominable by $C^n$ if there is a holomorphic map $F: \C^n \rightarrow M$ such that the Jacobian determinant of $F$ is not identically zero. In this talk we are going to discuss some cases when a hyperkaehler manifold is dominable by the complex $n$-space $C^n$. We are also going to mention connections with Brody non-hyperbolicity. This work is joint with Steven Lu.