Colloquium Series Seminar

Rational self-maps of the complex projective plane have long been of interest in algebraic geometry. They're also quite interesting from a dynamical point of view. The dynamical complexity of a rational map is governed by the degrees of the polynomials that define it and its iterates. In general, however, it's very hard to understand how these degrees behave as the iterate increases. I will spend my talk explaining the connection between degrees and dynamics, surveying what we do and don't know, and pointing to some interesting connections with other pieces of mathematics. Speaker(s): Jeff Diller (Notre Dame University)