Contemporary Mathematics 2004; 507 pp; softcover Volume: 346 ISBN10: 0821832859 ISBN13: 9780821832851 List Price: US$131 Member Price: US$104.80 Order Code: CONM/346
 As part of its series of Emphasis Years in Mathematics, Northwestern University hosted an International Conference on Algebraic Topology. The purpose of the conference was to develop new connections between homotopy theory and other areas of mathematics. This proceedings volume grew out of that event. Topics discussed include algebraic geometry, cohomology of groups, algebraic \(K\)theory, and \(\mathbb{A}^1\) homotopy theory. Among the contributors to the volume were Alejandro Adem, Ralph L. Cohen, JeanLouis Loday, and many others. The book is suitable for graduate students and research mathematicians interested in homotopy theory and its relationship to other areas of mathematics. Readership Graduate students and research mathematicians interested in homotopy theory and its relationship to other areas of mathematics. Table of Contents  A. Adem  Constructing and deconstructing group actions
 M. Behrens and S. Pemmaraju  On the existence of the self map \(v_2^9\) on the SmithToda complex \(V(1)\) at the prime 3
 C. Broto, R. Levi, and B. Oliver  The theory of \(p\)local groups: a survey
 R. L. Cohen and A. Stacey  Fourier decompositions of loop bundles
 D. Dugger and D. C. Isaksen  Weak equivalences of simplicial presheaves
 B. Fresse  Koszul duality of operads and homology of partitions posets
 W. Gajda  On \(K_{\ast}(\mathbb{Z})\) and classical conjectures in the arithmetic of cyclotomic fields
 G. Gutman  Finite group actions in elliptic cohomology
 L. Hesselholt  Topological Hochschild homology and the de RhamWitt complex for \(\mathbb{Z}_{(p)}\)algebras
 M. Hovey  Homotopy theory of comodules over a Hopf algebroid
 J. F. Jardine  Bousfield's \(E_{2}\) model theory for simplicial objects
 Y. Kamiya and K. Shimomura  A relation between the Picard group of the \(E(n)\)local homotopy category and \(E(n)\)based Adams spectral sequence
 A. Libman  Homotopy limits of monad algebras
 J.L. Loday and M. Ronco  Trialgebras and families of polytopes
 M. A. Mandell  Equivariant symmetric spectra
 B. Richter and A. Robinson  Gamma homology of group algebras and of polynomial algebras
 L. Scull  Formality and \(S^1\)equivariant algebraic models
 B. Shipley  A convenient model category for commutative ring spectra
 P. Symonds  The TateFarrell cohomology of the Morava stabilizer group \(S_{p1}\) with coefficients in \(E_{p1}\)
 J. M. Turner  Characterizing simplicial commutative algebras with vanishing AndréQuillen homology
