Number Theory Seminar

Speaker: Harry Schmidt (Basel)

Title: Equidistribution and uniformity for the projective line

Abstract: I will talk about my joint work with Myrto Mavraki in which we prove new instances of a relative Bogomolov conjecture in a purely dynamical context. We prove the first such for varieties of dimension lager than 1. I will discuss some of the ingredients that go into our proof, including a classification of symmetries of Julia set of rational functions. Time permitting I will also discuss some ongoing work with Mavraki and Wilms on reducing Bogomolov type statements to Manin-Mumford type statements.