Salem Numbers and Complex Surface Automorphisms
Nov 29 2012 – 3:00pm – 3:50 pm
Paul Reschke (UIC)
By a theorem due to Gromov and Yomdin, the entropy of an endomorphism of a compact Kahler manifold is determined by its cohomological actions. For the case of automorphisms of compact Kahler surfaces, I will explain how the cohomological interpretation of entropy leads to characterizations of Salem numbers and I will present a variety of examples of such characterizations. I will then discuss other applications of the cohomological interpretation of entropy to dynamical questions on Kahler manifolds.