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Eric Bedford


Speaker: Eric Bedford
Title: Dynamics of Rational Surface Automorphisms
Affiliation: Indiana University
Date: Friday, April 16, 2010
Place and Time: Room 101, Love Building, 3:35-4:30 pm
Refreshments: Room 204, Love Building, 3:00 pm

Abstract. The dynamics of polynomial and rational maps in complex dimension one has developed into a rich and interesting subject. These maps, however, are not invertible. So in for the dynamics of invertible maps we let X be a compact, complex manifold of complex dimension 2, and we let f be an automorphism of X. We discuss the dynamics of (f,X), that is, the behavior of the iterates f^n as n -->infinity. We describe the entropy of a map. We give examples of automorphisms of positive entropy and survey the tools for studying such maps.