The focus of this meeting was the use of geometric methods to study infinite discrete groups. Key topics included isometric actions of such groups on spaces of nonpositive curvature, such as CAT(0) cube complexes, buildings, and hyperbolic or symmetric spaces. These actions lead to a rich and fruitful interplay between geometry and group theoretic questions.
Cite this article
Martin R. Bridson, Linus Kramer, Bertrand Rémy, Karen Vogtmann, Non-positive Curvature and Geometric Structures in Group Theory. Oberwolfach Rep. 7 (2010), no. 2, pp. 1165–1224DOI 10.4171/OWR/2010/20