Homotopy invariant algebraic structures : a conference in honor of J. Michael Boardman : AMS Special Session on Homotopy Theory, January 7-10, 1998, Baltimore, MD
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Bibliographic Information
Homotopy invariant algebraic structures : a conference in honor of J. Michael Boardman : AMS Special Session on Homotopy Theory, January 7-10, 1998, Baltimore, MD
（Contemporary mathematics, v. 239）
American Mathematical Society, c1999
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Includes bibliographical references
Description and Table of Contents
Description
This volume presents the proceedings of the conference held in honor of J. Michael Boardman's 60th birthday. It brings into print his classic work on conditionally convergent spectral sequences. Over the past 30 years, it has become evident that some of the deepest questions in algebra are best understood against the background of homotopy theory. Boardman and Vogt's theory of homotopy-theoretic algebraic structures and the theory of spectra, for example, were two benchmark breakthroughs underlying the development of algebraic $K$-theory and the recent advances in the theory of motives. The volume begins with short notes by Mac Lane, May, Stasheff, and others on the early and recent history of the subject.But the bulk of the volume consists of research papers on topics that have been strongly influenced by Boardman's work. Articles give readers a vivid sense of the current state of the theory of 'homotopy-invariant algebraic structures'. Also included are two major foundational papers by Goerss and Strickland on applications of methods of algebra (i.e., Dieudonne modules and formal schemes) to problems of topology. Boardman is known for the depth and wit of his ideas. This volume is intended to reflect and to celebrate those fine characteristics.
Table of Contents
Some history: Note by R. Thom Higher homotopies, pacts, and the bar construction by S. Mac Lane The hare and the tortoise by J. P. May Cobordism of involutions revisited, revisited by J. Morava Grafting Boardman's cherry trees to quantum field theory by J. Stasheff My time as Mike Boardman's student and our work on infinite loop spaces by R. M. Vogt Research papers: Stabilizing the lower operations for mod two cohomology by T. P. Bisson, D. J. Pengelley, and F. Williams Conditionally convergent spectral sequences by J. M. Boardman On $K(n)$-equivalences of spaces by A. K. Bousfield Tessellations of moduli spaces and the mosaic operad by S. L. Devadoss Hopf rings, Dieudonne modules, and $E_\ast\Omega^2S^3$ by P. G. Goerss The structure of the Bousfield lattice by M. Hovey and J. H. Palmieri Transfinite spectral sequences by P. Hu The $\mathbb{Z}/p$-equivariant complex cobordism ring by I. Kriz Hopf constructions, Samelson products, and suspension maps by K. Morisugi Embedding homotopy spheres and the Kervaire invariant by D. Randall Adjoining roots of unity to $E_\infty$ ring spectra in good cases-A remark by R. Schwanzl, R. M. Vogt, and F. Waldhausen Grothendieck topology and the Picard group of a complex orbifold by B. Steer and A. Wren Formal schemes and formal groups by N. P. Strickland Simplicial commutative $F_p$-algebras through the looking-glass of $F_p$-local spaces by J. M. Turner The Swiss-cheese operad by A. A. Voronov $K(n + 1)$ equivalence implies $K(n)$ equivalence by W. S. Wilson.
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