Dynamics on projective spaces: maps, correspondences and group actions

Abstract

In the first part talk I will introduce the main objects and fundamental results on the (global) dynamics of holomorphic maps on the complex projective space. In a second part, I will discuss multivalued maps (i.e. holomorphic correspondences) and their dynamics. If time permits, I will mention some applications to the study of group actions on the Riemann sphere and to the theory of products of random matrices.