Thomas Haettel: Helly graphs and injective metric spaces I.

Atelier sur complexes cubiques et géométrie combinatoire/ Workshop on Cube Complexes and Combinatorial Geometry (Juin/June 19-30 2023)

Juin/June 19 :

We will discuss Helly graphs and injective metric spaces: basic definitions, elementary properties, simple examples. We will focus on nonpositive features, such as local properties, bicombings and classification of isometries. We will present various rich constructions of such spaces, quite often associated with groups of geometric nature, such as hyperbolic groups, braid groups, mapping class groups and higher rank lattices.