The papers in this collection, all fully refereed, originalpapers, reflect many aspects of recent significant advancesin homotopy theory and group cohomology.From the Contents: A. Adem: On the geometry and cohomologyof finite simple groups.- D.J. Benson: Resolutions andPoincar duality for finite groups.- C. Broto and S. Zarati: On sub-A*-algebras of H*V.- M.J. Hopkins, N.J. Kuhn, D.C.Ravenel: Morava K-theories of classifying spaces andgeneralized characters for finite groups.- K. Ishiguro: Classifying spaces of compact simple lie groups and p-tori.-A.T. Lundell: Concise tables of James...

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This book contains a collection of articles summarizing together the state of knowl- edge 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 Con- ference 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 selec- tion and for their generous contribution to the content of the articles. Many talks given during the CRM semester...