Holly Krieger : Arithmetic Properties of Dynamical Sequences

Posted by Paul Reschke , part of the Graduate Student Colloquium.

At

Feb. 20, 2012, 4:15 p.m.

In

SEO 636

Abstract

I will give an introduction to the study of arithmetic properties of sequences associated to iteration of a rational function defined over a number field, focusing on the notion of the Zsigmondy set associated to such a sequence. I will also give an overview of some of the methods used to prove effective Zsigmondy results, particularly in the case of the critical orbit of $z^d+c$. Though all are welcome to attend, this talk is intended to be accessible for graduate students of all levels; no background knowledge of arithmetic dynamics is expected.