Colloquium| Institute of Mathematical Sciences
Time：16:00-17:00, July 23 Tuesday
Location：Room S408, IMS
Speaker: Eric Bedford, Stonybrook University
Abstract: Let $M$ be a complex (or projective) manifold, and let $f$ be a dominant meromorphic (or rational) self-map of $M$. The basic question of dynamical systems is to understand the behavior of the iterates of $f^n:= f\circ \cdots \circ f$ as $n\to\infty$. Perhaps the first, most basic, piece of dynamical information about $f$ are its dynamical degrees. One of the dynamical degrees is the topological mapping degree, which is the number of preimages of a generic point. Each dynamical degree is invariant under birational conjugacy. In this (expository) talk, we will define the dynamical degrees and give several examples.