In complex dynamics in several variables, the classical dichotomy between Julia and Fatou sets is insufficient to describe the dynamics. On the other hand, attractors are fondamental objets in the general theory of dynamical systems. In this talk we will explain how to start the ergodic study of attractors in the projective space using pluripotential theory. In particular, to each attractor we will associated an attracting current and an equilibrium measure which give geometric and dynamical information about the attractor.
Further information about the speaker can be found at http://taflin.perso.math.cnrs.fr/.