Juanyong Wang - 15h30 - The Kodaira dimension of an algebraic fiber space.

The Kodaira dimension is considered to be the most important birational invariant of a complex projective variety. In the talk I will survey the works of Kawamata, Viehweg, Kollár, Campana, Cao, Păun etc. on the C_{c,m}-conjecture, and especially concentrate on showing how to deduce these C_{n,m}-type results from the positivity results (of direct images) presented in Sébastien's talk.