Recent results on hyperbolic algebraic varieties
-- Jean-Pierre Demailly

<p>

The talk will outline some progress made in recent years on hyperbolic
algebraic varieties. Jet bundle techniques introduced by Green and Griffiths
around the solution of Bloch's conjecture appear to be now much better
understood thanks to the work of many authors. Explicit calculations for
generic 3-dimensional hypersurfaces in projective space will be presented.