Contemporary Mathematics 346: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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Brand new. We distribute directly for the publisher. 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. Read more Show Less

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Overview

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.

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Product Details

  • ISBN-13: 9780821832851
  • Publisher: American Mathematical Society
  • Publication date: 4/2/2004
  • Series: Contemporary Mathematics Series , #346
  • Pages: 507
  • Product dimensions: 6.96 (w) x 9.98 (h) x 1.06 (d)

Table of Contents

Preface
Constructing and deconstructing group actions 1
On the existence of the self map [actual symbol not reproducible] on the Smith-Toda complex V(1) at the prime 3 9
The theory of p-local groups : a survey 51
Fourier decompositions of loop bundles 85
Weak equivalences of simplicial presheaves 97
Koszul duality of operads and homology of partition posets 115
On K[subscript *](Z) and classical conjectures in the arithmetic of cyclotomic fields 217
Finite group actions in elliptic cohomology 239
Topological Hochschild homology and the de Rham-Witt complex for Z[supscript (p)]-algebras 253
Homotopy theory of comodules over a Hopf algebroid 261
Bonsfield's E[subscript 2] model theory for simplician objects 305
A relation between the Picard group of the E(n)-local homotopy category and E(n)-based Adams spectral sequence 321
Homotopy limits of monad algebras 335
Trialgebras and families of polytopes 369
Equivariant symmetric spectra 399
Gamma homology of group algebras and of polynomial algebras 453
Formality and S[superscript 1]-equivariant algebraic models 463
A convenient model category for commutative ring spectra 473
The Tate-Farrell cohomology of the Morava stabilizer group S[subscript p-1] with coefficients in E[subscript p-1] 485
Characterizing simplicial commutative algebras with vanishing Andre-Quillen homology 493
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