Speaker: Nessim Sibony (Université Paris XI Orsay)

Venue: Classroom Quan 9

Time: 14:00 to 17:00 of October10, October15, October17, October22, October24, October29.

Abstract: We prove that the Julia set of a H´enon type automorphism on C2 is very rigid: it supports a unique positive ddc-closed current of mass 1. A similar property holds for the cohomology class of the Green current associated to an automorphism with positive entropy on a compact K¨ahler surface. Relations between this phenomenon, several quantitative equidistribution properties and the theory of value distribution will be discussed.

We also survey some rigidity properties of H´enon type maps on Ck and of automorphisms of compact K¨ahler manifolds.