数学科学研究所
Insitute of Mathematical Science

Colloquium: The dynamical degrees of a mapping

Colloquium| Institute of Mathematical Sciences

Time16:00-17:00, July 23 Tuesday

LocationRoom 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.




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