Boundaries of groups
October 10 to October 14, 2016
American Institute of Mathematics,
San Jose, California
Jean-Francois Lafont and Genevieve Walsh
This workshop will focus on understanding
boundaries of groups. These compactifications of infinite groups arise in
many different ways, and can exhibit different types of structure. Moreover,
these boundaries often encode various algebraic and geometric properties of the
The study of these boundaries form a central theme in modern geometric
The main topics of the workshop are:
- examples of boundaries for various classes of groups and spaces (relatively
hyperbolic groups, CAT(0) groups, Fuchsian buildings, Artin groups, Coxeter
groups, etc.), and comparing different boundaries for the same group.
- additional structure present on these boundaries (topological, dynamical,
- applications of boundaries, particularly their use in establishing results
groups, or about spaces on which the group acts geometrically.
Material from the workshop
A list of participants.
The workshop schedule.
A report on the workshop activities.
A list of open problems.
Papers arising from the workshop: