Event Detail

Event Type: 
REU Colloquium
Date/Time: 
Wednesday, July 20, 2022 - 15:00 to 15:50
Location: 
STAG 110

Speaker Info

Abstract: 

In arithmetic dynamics we are often interested in classifying rational maps based on the behavior of points under forward iteration of the map. A rational map, f, is called post-critically finite (PCF) if all of its critical points have a finite forward orbit under iteration of f. In this talk we will discuss post-critically finite polynomials and explore a particular family of rational maps called dynamical Belyi maps. These maps have two finite critical points, both of which are fixed. In particular, we will show how we can use these maps to classify all post-critically finite cubic polynomials defined over Q.