Final Activity Report Summary - AYCRM (Characterisations of geometric groups) I worked on hyperbolic groups, more generally on geometric group theory. Around 1970's hyperbolic geometry and group theory has interacted profoundly creating a very waste intersection area. When a group acts naturally on a geometric space, one can use the geometric information to define and study the group, and inversely the algebraic information on the group may induce strong result on the topology and geometry of the space on which a group acts naturally. This essential correspondence gave rise at notion of hyperbolic groups. These groups are now known to be to generic example of the geometric groups.
