Cohomological Methods in Homotopy Theory Barcelona Conference on Algebraic Topology, Bellaterra, Spain, June 4–10, 1998 - Aguadé, Jaume; Broto, Carles 1959-; Casacuberta, Carles (Birkhäuser Basel, 2001)
This book contains a collection of articles summarizing together the state of knowledge in a broad portion of modern homotopy theory. These articles were assembled during 1998 and 1999, on the occasion of an emphasis semester organized by the Centre de Recerca Matematica (CRM) and its highlight, the 1998 Barcelona Conference on Algebraic Topology (BCAT). First of all, we are indebted to all the authors for submitting their work, and to the referees for their help in the selection and for their generous contribution to the content of the articles. Many talks given during the CRM semester or at the conference focused on aspects of the following topics: abstract stable homotopy, model categories, homotopical localizations and cellular approximations, p-compact groups, modules over the Steenrod algebra, classifying spaces for proper actions of discrete groups, K-theory and other generalized cohomology theories, cohomology of finite and profinite groups, Hochschild homology, configuration spaces, LusternikSchnirelmann category, stable and unstable splittings. Other talks treated multidisciplinary subjects related to quantum field theory, differential geometry, homotopical dynamics, tilings, and various aspects of group theory. In addition, an advanced course on Classifying Spaces and Cohomology of Groups was organized by the CRM in the days preceding the conference. Lecture notes from this course will be published by Birkhäuser Verlag as the first volume of a newly created CRM Advanced Course series