for this workshop
Amenability of discrete groups
American Institute of Mathematics, San Jose, California
Kate Juschenko, Tatiana Nagnibeda, and Volodymyr Nekrashevych
This workshop, sponsored by AIM and the NSF, will be devoted to the structural theory of discrete amenable groups, and new examples of amenable and non-amenable groups. In particular, our discussions will be centered around recent techniques of proving amenability/non-amenability for groups acting on sets and topological spaces and new probabilistic, geometric, and analytic methods.
The main topics of the workshop are:
- New and potential examples of non-elementary amenable groups. Structural theory of amenable actions.
- Contracting self-similar groups, groups generated by automata of polynomial activity growth, groups of interval exchange transformations and their analogs.
- New examples of non-amenable groups, amenability of equivalence relations and groupoids.
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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