Problems in Geometric Group Theory

This workshop, sponsored by AIM and the NSF, will be devoted to compiling a list of unsolved and partially solved problems in geometric group theory. The list will be organized into various subfields of geometric group theory and other fields that have substantial overlap with geometric group theory. The problems will be annotated with special cases, relationships among the problems, broader implications, and progress to date. Invited participants have been asked to draft lists of important problems within their areas of expertise, and these lists will be circulated prior to the workshop.

The main goals for the workshop are

• to have general discussions about the significance and importance of the questions within each subtopic
• to make sure the exposition is accessible to a broad audience (this includes making sure the notation and terminology is consistent among the subtopics)
• to find any important omissions or gaps among the problems or subtopics

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.

For more information email workshops@aimath.org

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