Calculus of Variations and Geometric Measure Theory

Integrality results in arithmetic dynamics

Marley Young

created by malchiodi on 29 Nov 2023

5 dec 2023 -- 11:00   [open in google calendar]

SNS, Aula Bianchi Lettere

Abstract.

I will give a broad overview of some problems regarding finiteness of integral preperiodic points of rational maps, how these were motivated by analogous unlikely intersections problems in arithmetic geometry, and how equidistribution theorems have been a key tool in both contexts. In particular, I will discuss how quantitative forms of equidistribution (developed via techniques in potential theory and dynamics) have been central in effective and uniform results in both geometry and dynamics.