Homotopy theory : relations with algebraic geometry, group cohomology, and algebraic K-theory : an International Conference on Algebraic Topology, March 24-28, 2002, Northwestern University
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Bibliographic Information
Homotopy theory : relations with algebraic geometry, group cohomology, and algebraic K-theory : an International Conference on Algebraic Topology, March 24-28, 2002, Northwestern University
（Contemporary mathematics, 346）
American Mathematical Society, c2004
- : pbk
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Includes bibliographical references
Description and Table of Contents
Description
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.
Table of Contents
Constructing and deconstructing group actions by A. Adem On the existence of the self map $v_2^9$ on the Smith-Toda complex $V(1)$ at the prime 3 by M. Behrens and S. Pemmaraju The theory of $p$-local groups: a survey by C. Broto, R. Levi, and B. Oliver Fourier decompositions of loop bundles by R. L. Cohen and A. Stacey Weak equivalences of simplicial presheaves by D. Dugger and D. C. Isaksen Koszul duality of operads and homology of partitions posets by B. Fresse On $K_{\ast}(\mathbb{Z})$ and classical conjectures in the arithmetic of cyclotomic fields by W. Gajda Finite group actions in elliptic cohomology by G. Gutman Topological Hochschild homology and the de Rham-Witt complex for $\mathbb{Z}_{(P)}$-algebras by L. Hesselholt Homotopy theory of comodules over a Hopf algebroid by M. Hovey Bousfield's $E_{2}$ model theory for simplicial objects by J. F. Jardine A relation between the Picard group of the $E(n)$-local homotopy category and $E(n)$-based Adams spectral sequence by Y. Kamiya and K. Shimomura Homotopy limits of monad algebras by A. Libman Trialgebras and families of polytopes by J.-L. Loday and M. Ronco Equivariant symmetric spectra by M. A. Mandell Gamma homology of group algebras and of polynomial algebras by B. Richter and A. Robinson Formality and $S^1$-equivariant algebraic models by L. Scull A convenient model category for commutative ring spectra by B. Shipley The Tate-Farrell cohomology of the Morava stabilizer group $S_{p-1}$ with coefficients in $E_{p-1}$ by P. Symonds Characterizing simplicial commutative algebras with vanishing Andre-Quillen homology by J. M. Turner.
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