Galois theory of Dynamical Belyi Maps

Abstract: Let $f: \mathbb{P}^1_K \rightarrow \mathbb{P}^1_K$ be a rational map defined over a number field $K$. The Galois theory of the iterates $f^n=f \circ \dots \circ f$ has applications both in number theory and arithmetic dynamics. In this talk, we will discuss the various Galois groups attached to the iterates of $f$, namely arithmetic and geometric monodromy groups and Arboreal Galois representations. While providing a survey of recent results on the subject, we will also talk about joint work with I. Bouw and V. Karemaker on Dynamical Belyi maps.

algebraic geometrynumber theory

Audience: researchers in the topic

SFU NT-AG seminar

Series comments: Description: Research/departmental seminar

Seminar usually meets in-person. For online editions, the Zoom link is shared via mailing list.