Differential Geometry Seminar: Reconciling dichotomies in holomorphic dynamics

I will describe recent joint work with Leandro Arosio (University of Rome, Tor Vergata) in holomorphic dynamics.

We study the iteration of endomorphisms of complex manifolds of a fairly general kind, as well as the iteration of automorphisms for a class that is somewhat smaller, but still includes almost all linear algebraic groups. The main goal of our work is to reconcile two fundamental dynamical dichotomies in these settings, "attracted vs. recurrent" and "calm vs. wild".

School of Computer and Mathematical Sciences