Scope:

One of the big recent progresses in classification of projective complex manifolds is Siu's proof of the invariance of plurigenera of an arbitrary projective complex manifold. The proof consistently uses all the techniques developed in the last years around possibly singular hermitian metrics and their multipliers and adds some new and still unexploited ideas to them. Moreover it seems to be a purely analytic proof; at least there are no known algebraic substitutes for the analytic ideas.

The primary goal of the mini-workshop is to get a better understanding of the proof by discussions among the participants and Y.T.Siu himself. Furthermore the possibility of an algebraic-geometric proof and consequences and applications of the used techniques will be discussed.

Acknowledgement:

This conference is funded by Deutsche Forschungsgemeinschaft, by the DFG-priority-programme "Global Methods in Complex Geometry" and the University of Cologne.