1. Polynomial automorphisms of CP^k. Fatou Bieberbach domains, Green-currents, rigidity theorem and it's consequences.
2. Fatou Julia theory for endomorphisms of CP^k. After introducing the main tools, Green-currents, hierarchy of Julia sets, measure of maximal entropy, we will consider some non trivial examples.
3. If time permits we will discuss some analogies between the theory of holomoprhic foliations in CP^k and the Fatou-Julia Theory.

References

Bedford E., Smillie J., External rays in the dynamics of Polynomial Automorphisms of C². Contempory Math. 222 (1999) 41-79.

Fornaess J.E., Sibony N., Complex dynamics in higher dimension in complex potential theory. Ed. paul M. Gauthier Nato Asi. series Math and Phys. Sc (1994) 131-186.

Sibony N., Dynamique des applications rationnelles deP^k Panoramas et Syntheses (1999) 97-185.