Dynamics, number theory, and unlikely intersections

Job Candidate Talk
Monday, January 9, 2023 - 11:00am for 1 hour (actually 50 minutes)
Skiles 006 and https://gatech.zoom.us/j/99998037632?pwd=Q2VNMVRCQUdUeWVpUW8xRzVIanBwQT09
Myrto Mavraki – Harvard – mavraki@math.harvard.eduhttps://people.math.harvard.edu/~mavraki/
Greg Blekherman

Fruitful interactions between arithmetic geometry and dynamical systems have emerged in recent years. In this talk I will illustrate how insights from complex dynamics can be employed to study problems from arithmetic geometry. And conversely how arithmetic geometry can be used in the study of dynamical systems. The motivating questions are inspired by a recurring phenomenon in arithmetic geometry known as `unlikely intersections' and conjectures of Pink and Zilber therein. More specifically, I will discuss work toward understanding the distribution of preperiodic points in subvarieties of families of rational maps.