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Homotopy invariant algebraic structures : a conference in honor of J. Michael Boardman : AMS Special Session on Homotopy Theory, January 7-10, 1998, Baltimore, MD / Jean-Pierre Meyer, Jack Morava, W. Stephen Wilson, editors.
- Format:
- Book
- Conference/Event
- Author/Creator:
- AMS Special Session on Homotopy Theory, Corporate Author.
- Conference Name:
- AMS Special Session on Homotopy Theory (1998 : Baltimore, Md.), issuing body.
- AMS Special Session on Homotopy Theory
- Series:
- Contemporary mathematics (American Mathematical Society). 0271-4132 239
- Contemporary mathematics, 0271-4132 ; 239
- Language:
- English
- Subjects (All):
- Homotopy theory--Congresses.
- Homotopy theory.
- Physical Description:
- 1 online resource (392 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [1999]
- Language Note:
- English
- Summary:
- 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., Dieudonné 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.
- Contents:
- Contents
- Preface
- Publications of J. Michael Boardman
- Some History
- Letter from R. Thorn
- Higher homotopies, Pacts, and the bar construction
- The hare and the tortoise
- Cobordism of involutions revisited, revisited
- Grafting Boardman's cherry trees to quantum field theory
- My time as Mike Boardman's student and our work on infinite loop spaces
- Research Papers
- Stabilizing the lower operations for mod two cohomology
- Conditionally convergent spectral sequences
- Introduction
- Part I " Tools
- Part II " Convergence
- Formal schemes and formal groups
- 1. Introduction
- 2. Schemes
- 3. Non-affine schemes
- 4. Formal schemes
- 5. Formal curves
- 6. Formal groups
- 7. Ordinary formal groups
- 8. Formal schemes in algebraic topology
- References
- Simplicial commutative Fp-algebras through the looking-glass of the Fp-local spaces
- The swiss-cheese operad
- K(n + 1) equivalence implies K(n) equivalence.
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-7829-8
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