Event
Thomas Haettel (U. Montpellier)
Wednesday, September 21, 2022 15:00to16:00
Burnside Hall
Room 920, 805 rue Sherbrooke Ouest, Montreal, QC, H3A 0B9, CA
Title: Group actions on injective metric spaces
Abstract: A metric space is called injective if any pairwise intersecting family of balls has a non-empty global intersection. Such injective metric spaces enjoy many properties typical of nonpositive curvature. In particular, when a group acts by isometries on such a spaces, we can deduce many consequences. We will also present numerous examples of groups acting by isometries on injective metric spaces, including hyperbolic groups, cubulated groups, higher rank lattices, mapping class groups, some Artin groups...