Rationality of the Gromov boundary of a hyperbolic group (Davide Perego, University of Sevilla)

28.11.2023 14:00

The Gromov boundary of a hyperbolic group is a widely studied object in the field of geometric group theory. Many authors tried to provide topological approximations and recursive presentations for this boundary. After recalling some properties of hyperbolic groups and language theoretic notions, we will describe the tree of atoms. It was originally introduced by Belk, Bleak and Matucci in order to prove that hyperbolic groups embed into the rational group of asynchronous transducers and, later, to prove the Boone-Higman conjecture. Then, we will speak about its connections with the hyperbolic world and we will see some ways to approximate and recursively present the Gromov boundary via this tree.

Lieu

Bâtiment: Conseil Général 7-9

Room 6-13, Tuesday 28.11.2023, Séminaire "Groupes et Géométrie"

entrée libre