Stable homology of Higman-Thompson groups

par Mlle Marie-Camille Delarue

mardi 15 oct. 2024, 14:00 → 15:00 Europe/Paris

IMT 1R2 207 (Salle Pellos)

The Higman-Thompson groups are groups of certain self-homeomorphisms of Cantor sets. They can be described using tree diagrams. We compute their homology in a stable range by constructing a scanning map following the work of Madsen, Weiss, Galatius and others. This scanning map allows us to express the stable homology of the Higman-Thompson groups as the homology of a certain spectrum.