Institute for Mathematical Sciences
Dessins d'enfants and Hubbard Trees
Abstract: We show that the absolute Galois group acts faithfully on the set of Hubbard trees. Hubbard trees are finite planar trees,
equipped with self-maps, which classify postcritically finite
polynomials as holomorphic dynamical systems on the complex
plane. We establish an explicit relationship between certain
Hubbard trees and the trees known as ``dessins d'enfant''
introduced by Grothendieck.
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