Dynamical Systems Seminar

Title: Iteration and the Minimal Resultant
Speaker: Ken Jacobs
Speaker Info:
Brief Description:
Special Note:

The minimal resultant is a function on the moduli space of degree d rational maps that measures how close a map is to being degenerate (i.e., of lower degree). We will show that, under certain hypotheses, the minimal resultant of the nth iterate f^n of a rational map f can be easily computed in terms of the minimal resultant of f. This leads to a simple, arithmetic formula for the Arakelov-Green's function of such maps. As time permits, we will also discuss the special case of Lattes maps.
Date: Tuesday, November 8, 2016
Time: 4:00pm
Where: Lunt 104
Contact Person: Ken Jacobs
Contact email: ken@northwestern.edu
Contact Phone:
Copyright © 1997-2024 Department of Mathematics, Northwestern University.