Abstract:
Let $M$ be a compact Kahler 3-fold without non-trivial subvarieties. We prove
that $M$ is a complex torus.
The proof is based on Brunella's fundamental theorem about structure of
1-dimensional holomorphic foliations and Demailly's regularization of positive
currents. This is a joint work with F. Campana and J.-P. Demailly. I will try
to explain all notions to make the lecture accessible for anybody with basic
knowledge of differential and algebraic geometry.
The lecture will take place in the Seminar Room, Room 261, Ziskind Building