for this workshop
Boundaries of groups
American Institute of Mathematics, San Jose, California
Jean-Francois Lafont and Genevieve Walsh
This workshop, sponsored by AIM and the NSF, 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 underlying group. The study of these boundaries form a central theme in modern geometric group theory.
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, and/or analytic).
- applications of boundaries, particularly their use in establishing results about groups, or about spaces on which the group acts geometrically.
The workshop will differ from typical conferences in some regards. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and parallel working sessions.
The deadline to apply for support to participate in this workshop has passed.
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