Title: Degree growth of rational surface maps
Speaker: Jeffrey Diller
Special Note: We will go to dinner after the talk.
Let f be a rational self-map of the complex projective plane. The so-called first dynamical degree of f is a geometric invariant with fundamental significance for the dynamics of f. For most f, it is an easily computed integer. In general, however, it is surprisingly subtle (currently impossible) to compute. I will devote the first part of my talk to some background about the first dynamical degree, the second to some signficant results about it, and the third to recent work with Jan-Li Lin that gives a better understanding of this degree when f preserves a rational two form on the surface.Date: Tuesday, April 22, 2014