Problems in Geometric Group Theory

April 23 to April 27, 2007

at the

American Institute of Mathematics, San Jose, California

organized by

Mladen Bestvina, Tadeusz Januszkiewicz, and Richard Scott

Original Announcement

This workshop 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

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.

Papers arising from the workshop:

A 2-generated 2-related group with no non-trivial finite factors
by  A. Yu. Ol'shanskii and M. V. Sapir
Problems on automorphism groups of nonpositively curved polyhedral complexes and their lattices
by  Benson Farb, G. Christopher Hruska, and Anne Thomas