Geometric group theory refers to the study of discrete groups using tools from topology, geometry, dynamics and analysis. The field is evolving very rapidly and this volume provides an introduction to and overview of various topics which have played critical roles in this evolution. The book contains lecture notes from courses given at the Park City Math Institute on Geometric Group Theory.
Geometric group theory refers to the study of discrete groups using tools from topology, geometry, dynamics and analysis. The field is evolving very rapidly and this volume provides an introduction to and overview of various topics which have played critical roles in this evolution. The book contains lecture notes from courses given at the Park City Math Institute on Geometric Group Theory.
Mladen Bestvina, University of Utah, Salt Lake City, UT, USA. Michah Sageev, Technion-Israel Institute of Technology, Haifa, Israel. Karen Vogtmann, University of Warwick, Coventry, United Kingdom.
Inhaltsangabe
* CAT(0) cube complexes and groups by M. Sageev * Geometric small cancellation by V. Guirardel * Lectures on proper CAT(0) spaces and their isometry groups by P.-E. Caprace * Lectures on quasi-isometric rigidity by M. Kapovich * Geometry of outer space by M. Bestvina * Some arithmetic groups that do not act on the circle by D. W. Morris * Lectures on lattices and locally symmetric spaces by T. Gelander * Lectures on marked length spectrum rigidity by A. Wilkinson * Expander graphs, property t and approximate groups by E. Breuillard * Cube complexes, subgroups of mapping class groups, and nilpotent genus by M. R. Bridson
* CAT(0) cube complexes and groups by M. Sageev * Geometric small cancellation by V. Guirardel * Lectures on proper CAT(0) spaces and their isometry groups by P.-E. Caprace * Lectures on quasi-isometric rigidity by M. Kapovich * Geometry of outer space by M. Bestvina * Some arithmetic groups that do not act on the circle by D. W. Morris * Lectures on lattices and locally symmetric spaces by T. Gelander * Lectures on marked length spectrum rigidity by A. Wilkinson * Expander graphs, property t and approximate groups by E. Breuillard * Cube complexes, subgroups of mapping class groups, and nilpotent genus by M. R. Bridson
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