**Speaker:** Murat Uyar

**Title: **Classification of Preperiodic Points of Cubic PCF Polynomials

**Date/Time:** 28 April 2021 / 13:40 - 14:30

**Zoom: Meeting ID**: https://sabanciuniv.zoom.us/j/91735827843?pwd=QlBwc3dUSzlDcHl5OXZUNCs3MWlWZz09

**Passcode:- **algebra

**Abstract: **In arithmetic dynamics, one of the main conjectures is the uniform boundedness of preperiodic points of rational maps of a given degree over a number field. In this talk, we first show how to classify cubic post-critically finite polynomials defined over Q up to linear conjugacy. Using certain algorithms that were introduced by Silverman and Hutz, we will show that the number of preperiodic points of a cubic post-critically finite polynomial defined over

Q cannot exceed 6.

**Bio:** -