TY - BOOK AU - Bridson,Martin R. AU - Kropholler,Peter H. AU - Leary,Ian J. ED - London Mathematical Society Symposium on Geometry and Cohomology in Group Theory TI - Geometric and cohomological methods in group theory T2 - London Mathematical Society lecture note series SN - 9781139107099 (ebook) AV - QA183 .L66 2003 U1 - 512.2 22 PY - 2009/// CY - Cambridge PB - Cambridge University Press KW - Geometric group theory KW - Congresses KW - Homology theory N1 - Title from publisher's bibliographic system (viewed on 05 Oct 2015); Notes on Sela's work: limit groups and Makanin-Razborov diagrams; M. Bestvin; and; M. Feighn --; Solutions to Bestvina & Feighn's exercises on limit groups; H. Wilton --; L²-invariants from the algebraic point of view; W. Lück --; Constructing non-positively curved spaces and groups; J. McCammond --; Homology and dynamics in quasi-isometric rigidity of once-punctured mapping class groups; L. Mosher --; Hattori-Stallings trace and Euler characteristics for groups; I. Chatterji; and; G. Mislin --; Groups of small homological dimension and the Atiyah conjecture; P.H. Kropholler; P. Linnell; and; W. Lück --; Logarithms and assembly maps on Kn̳(Zl̳[G]); V.P. Snaith --; On complete resolutions; O. Talelli --; Structure theory for branch groups; J.S. Wilson N2 - Geometric group theory is a vibrant subject at the heart of modern mathematics. It is currently enjoying a period of rapid growth and great influence marked by a deepening of its fertile interactions with logic, analysis and large-scale geometry, and striking progress has been made on classical problems at the heart of cohomological group theory. This volume provides the reader with a tour through a selection of the most important trends in the field, including limit groups, quasi-isometric rigidity, non-positive curvature in group theory, and L2-methods in geometry, topology and group theory. Major survey articles exploring recent developments in the field are supported by shorter research papers, which are written in a style that readers approaching the field for the first time will find inviting UR - https://doi.org/10.1017/CBO9781139107099 ER -