for this workshop
Rigidity properties of free-by-cyclic groups
American Institute of Mathematics, Pasadena, California
Rylee Lyman, Jean Pierre Mutanguha, Jing Tao, and Caglar Uyanik
This workshop, sponsored by AIM and the NSF, will be devoted to the study of free-by-cyclic groups. Free-by-cyclic groups, which are a graphical analogue of fundamental groups of three-manifolds fibering over the circle, are a rich class of groups with interesting and varied properties. The goal of this workshop is to spark interest and build expertise in problems related to free-by-cyclic groups that are motivated by results in the study of fibered three-manifolds.
Some topics we have in mind for the workshop are
- Quasi-isometric rigidity.
- Profinite rigidity
- ℓ2-invariants and ℓ2-torsion of free-by-cyclic groups.
This event will be run as an AIM-style workshop. 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.
Space and funding is available for a few more participants. If you would like to participate, please apply by filling out the on-line form no later than May 15, 2023. Applications are open to all, and we especially encourage women, underrepresented minorities, junior mathematicians, and researchers from primarily undergraduate institutions to apply.
Before submitting an application, please read the description of the AIM style of workshop.
For more information email firstname.lastname@example.org