EVENT DETAILS AND ABSTRACT

Title: Iteration and the Minimal Resultant
Speaker: Ken Jacobs
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Abstract:

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.