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, Jean-Louis 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 Smith-Toda 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 Rham-Witt 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 Tate-Farrell cohomology of the Morava stabilizer group \(S_{p-1}\) with coefficients in \(E_{p-1}\)
• J. M. Turner -- Characterizing simplicial commutative algebras with vanishing André-Quillen homology