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Algebraic Topology

The Abel Symposium 2007

  • Book
  • © 2009

Overview

Editors:
  1. Nils Baas

    1. Universitet NTNU, Norges Teknisk Naturvitenskap., Trondheim, Norway

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  2. Eric M. Friedlander

    1. College of Letters, Arts & Sciences, University of Southern California, Los Angeles, U.S.A.

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  3. Björn Jahren

    1. University of Oslo, Department of Mathematics, Oslo, Norway

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  4. Paul Arne Østvær

    1. University of Oslo, Department of Mathematics, Oslo, Norway

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  • Highlights of high-level symposium in the Abel Prize series

Part of the book series: Abel Symposia (ABEL, volume 4)

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Table of contents (12 chapters)

  1. Front Matter

    Pages 1-11
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  2. The Classifying Space of a Topological 2-Group

    • John C. Baez, Danny Stevenson
    Pages 1-31

  3. String Topology in Dimensions Two and Three

    • Moira Chas, Dennis Sullivan
    Pages 33-37

  4. Floer Homotopy Theory, Realizing Chain Complexes by Module Spectra, and Manifolds with Corners

    • Ralph L. Cohen
    Pages 39-59

  5. Relative Chern Characters for Nilpotent Ideals

    • G. Cortiñas, C. Weibel
    Pages 61-82

  6. Algebraic Differential Characters of Flat Connections with Nilpotent Residues

    • Hélène Esnault
    Pages 83-94

  7. Norm Varieties and the Chain Lemma (After Markus Rost)

    • Christian Haesemeyer, Chuck Weibel
    Pages 95-130

  8. On the Whitehead Spectrum of the Circle

    • Lars Hesselholt
    Pages 131-184

  9. Cocycle Categories

    • J. F. Jardine
    Pages 185-218

  10. A Survey of Elliptic Cohomology

    • J. Lurie
    Pages 219-277

  11. On Voevodsky's Algebraic K-Theory Spectrum

    • Ivan Panin, Konstantin Pimenov, Oliver Röndigs
    Pages 279-330

  12. Chern Character, Loop Spaces and Derived Algebraic Geometry

    • Bertrand Toën, Gabriele Vezzosi
    Pages 331-354

  13. Voevodsky's Lectures on Motivic Cohomology 2000/2001

    • Pierre Deligne
    Pages 355-409
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Keywords

About this book

The 2007 Abel Symposium took place at the University of Oslo in August 2007.  The goal of the symposium was to bring together mathematicians whose research efforts have led to recent advances in algebraic geometry, algebraic K-theory, algebraic topology, and mathematical physics.  A common theme of this symposium was the development of new perspectives and new constructions with a categorical flavor.  As the lectures at the symposium and the papers of this volume demonstrate, these perspectives and constructions have enabled a broadening of vistas, a synergy between once-differentiated subjects, and solutions to mathematical problems both old and new.

Editors and Affiliations

  • Universitet NTNU, Norges Teknisk Naturvitenskap., Trondheim, Norway

    Nils Baas

  • College of Letters, Arts & Sciences, University of Southern California, Los Angeles, U.S.A.

    Eric M. Friedlander

  • University of Oslo, Department of Mathematics, Oslo, Norway

    Björn Jahren, Paul Arne Østvær

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