Decidability of Thurston equivalence (Dzmitry Dudko, University of Göttingen)

13.12.2016 10:30

We consider Thurston maps: branched self-coverings of the sphere, and prove that the Thurston equivalence problem between them (conjugacy combined with isotopy relative to the critical orbits) is decidable. In the talk we will compare Thurston maps with surface homeomorphisms; to illustrate the difference, we produce a Thurston map with infinitely generated centralizer — while centralizers of homeomorphisms are always finitely generated.
Joint work with Laurent Bartholdi.

Lieu

Room 623, Séminaire "Groupes et Géométrie"

entrée libre