Graduate Number Theory Seminar
Holly Krieger
UIC
Zsigmondy Sets in Arithmetic Dynamics
Abstract: I will discuss a result of Silverman and Ingram on the finitude of the Zsigmondy set associated to the forward orbit of a wandering point of a rational map of degree at least 2, defined over a number field, which has 0 periodic. The Zsigmondy set of a sequence (a_n) is the set of indices so that a_n does not have a primitive prime divisor. I will prove the easy generalization to the case of 0 preperiodic, and discuss my progress on further generalizations.
Wednesday April 20, 2011 at 3:00 PM in SEO 427