On Arboreal Galois Representations of Rational Functions

Ashvin Swaminathan

The action of the absolute Galois group $\text{Gal}(K^{\text{ksep}}/K)$ of a global field $K$ on a tree $T(\varphi ,\alpha )$ of iterated preimages of $\alpha \in {\mathbb{P}}^1(K)$ under $\varphi \in K(x)$…