Height functions in complex dynamics
Analysis and Geometry Seminar
22nd May 2017, 4:00 pm – 5:00 pm
Howard House, 4th Floor Seminar Room
I will discuss the role of height functions in complex and arithmetic dynamics, with a focus on applications to problems in unlikely intersections. This includes a dynamical analogue of the André-Oort conjecture proved by myself, Ghioca, Nguyen, and Ye, as well as recent work on bounded height theorems analogous to those of Bombieri-Masser-Zannier.