Oberwolfach Reports


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Volume 7, Issue 2, 2010, pp. 1165–1224
DOI: 10.4171/OWR/2010/20

Published online: 2010-12-14

Non-positive Curvature and Geometric Structures in Group Theory

Martin R. Bridson[1], Linus Kramer[2], Bertrand Rémy[3] and Karen Vogtmann[4]

(1) University of Oxford, UK
(2) Universität Münster, Germany
(3) Université Claude Bernard Lyon 1, Villeurbanne, France
(4) University of Warwick, Coventry, United Kingdom

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.

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Bridson Martin, Kramer Linus, Rémy Bertrand, Vogtmann Karen: Non-positive Curvature and Geometric Structures in Group Theory. Oberwolfach Rep. 7 (2010), 1165-1224. doi: 10.4171/OWR/2010/20