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Homotopy Theory: Relations with Algebraic Geometry, Group Cohomology, and Algebraic $K$-Theory
 
Edited by: Paul Goerss Northwestern University, Evanston, IL
Stewart Priddy Northwestern University, Evanston, IL
Homotopy Theory: Relations with Algebraic Geometry, Group Cohomology, and Algebraic $K$-Theory
Softcover ISBN:  978-0-8218-3285-1
Product Code:  CONM/346
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7936-8
Product Code:  CONM/346.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-3285-1
eBook: ISBN:  978-0-8218-7936-8
Product Code:  CONM/346.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Homotopy Theory: Relations with Algebraic Geometry, Group Cohomology, and Algebraic $K$-Theory
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Homotopy Theory: Relations with Algebraic Geometry, Group Cohomology, and Algebraic $K$-Theory
Edited by: Paul Goerss Northwestern University, Evanston, IL
Stewart Priddy Northwestern University, Evanston, IL
Softcover ISBN:  978-0-8218-3285-1
Product Code:  CONM/346
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7936-8
Product Code:  CONM/346.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-3285-1
eBook ISBN:  978-0-8218-7936-8
Product Code:  CONM/346.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 3462004; 507 pp
    MSC: Primary 55; 57; 20

    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.

    Readership

    Graduate students and research mathematicians interested in homotopy theory and its relationship to other areas of mathematics.

  • Table of Contents
     
     
    • Articles
    • Alejandro Adem — Constructing and deconstructing group actions [ MR 2066494 ]
    • Mark Behrens and Satya Pemmaraju — On the existence of the self map $v^9_2$ on the Smith-Toda complex $V(1)$ at the prime 3 [ MR 2066495 ]
    • Carles Broto, Ran Levi and Bob Oliver — The theory of $p$-local groups: a survey [ MR 2066496 ]
    • Ralph L. Cohen and Andrew Stacey — Fourier decompositions of loop bundles [ MR 2066497 ]
    • Daniel Dugger and Daniel C. Isaksen — Weak equivalences of simplicial presheaves [ MR 2066498 ]
    • Benoit Fresse — Koszul duality of operads and homology of partition posets [ MR 2066499 ]
    • Wojciech Gajda — On $K_*(\Bbb Z)$ and classical conjectures in the arithmetic of cyclotomic fields [ MR 2066500 ]
    • Gary Gutman — Finite group actions in elliptic cohomology [ MR 2066501 ]
    • Lars Hesselholt — Topological Hochschild homology and the de Rham-Witt complex for $\Bbb Z_{(p)}$-algebras [ MR 2066502 ]
    • Mark Hovey — Homotopy theory of comodules over a Hopf algebroid [ MR 2066503 ]
    • J. F. Jardine — Bousfield’s $E_2$ model theory for simplicial objects [ MR 2066504 ]
    • Yousuke Kamiya and Katsumi Shimomura — A relation between the Picard group of the $E(n)$-local homotopy category and $E(n)$-based Adams spectral sequence [ MR 2066505 ]
    • Assaf Libman — Homotopy limits of monad algebras [ MR 2066506 ]
    • Jean-Louis Loday and María Ronco — Trialgebras and families of polytopes [ MR 2066507 ]
    • Michael A. Mandell — Equivariant symmetric spectra [ MR 2066508 ]
    • Birgit Richter and Alan Robinson — Gamma homology of group algebras and of polynomial algebras [ MR 2066509 ]
    • Laura Scull — Formality and $S^1$-equivariant algebraic models [ MR 2066510 ]
    • Brooke Shipley — A convenient model category for commutative ring spectra [ MR 2066511 ]
    • Peter Symonds — The Tate-Farrell cohomology of the Morava stabilizer group $S_{p-1}$ with coefficients in $E_{p-1}$ [ MR 2066512 ]
    • James M. Turner — Characterizing simplicial commutative algebras with vanishing André-Quillen homology [ MR 2066513 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 3462004; 507 pp
MSC: Primary 55; 57; 20

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.

Readership

Graduate students and research mathematicians interested in homotopy theory and its relationship to other areas of mathematics.

  • Articles
  • Alejandro Adem — Constructing and deconstructing group actions [ MR 2066494 ]
  • Mark Behrens and Satya Pemmaraju — On the existence of the self map $v^9_2$ on the Smith-Toda complex $V(1)$ at the prime 3 [ MR 2066495 ]
  • Carles Broto, Ran Levi and Bob Oliver — The theory of $p$-local groups: a survey [ MR 2066496 ]
  • Ralph L. Cohen and Andrew Stacey — Fourier decompositions of loop bundles [ MR 2066497 ]
  • Daniel Dugger and Daniel C. Isaksen — Weak equivalences of simplicial presheaves [ MR 2066498 ]
  • Benoit Fresse — Koszul duality of operads and homology of partition posets [ MR 2066499 ]
  • Wojciech Gajda — On $K_*(\Bbb Z)$ and classical conjectures in the arithmetic of cyclotomic fields [ MR 2066500 ]
  • Gary Gutman — Finite group actions in elliptic cohomology [ MR 2066501 ]
  • Lars Hesselholt — Topological Hochschild homology and the de Rham-Witt complex for $\Bbb Z_{(p)}$-algebras [ MR 2066502 ]
  • Mark Hovey — Homotopy theory of comodules over a Hopf algebroid [ MR 2066503 ]
  • J. F. Jardine — Bousfield’s $E_2$ model theory for simplicial objects [ MR 2066504 ]
  • Yousuke Kamiya and Katsumi Shimomura — A relation between the Picard group of the $E(n)$-local homotopy category and $E(n)$-based Adams spectral sequence [ MR 2066505 ]
  • Assaf Libman — Homotopy limits of monad algebras [ MR 2066506 ]
  • Jean-Louis Loday and María Ronco — Trialgebras and families of polytopes [ MR 2066507 ]
  • Michael A. Mandell — Equivariant symmetric spectra [ MR 2066508 ]
  • Birgit Richter and Alan Robinson — Gamma homology of group algebras and of polynomial algebras [ MR 2066509 ]
  • Laura Scull — Formality and $S^1$-equivariant algebraic models [ MR 2066510 ]
  • Brooke Shipley — A convenient model category for commutative ring spectra [ MR 2066511 ]
  • Peter Symonds — The Tate-Farrell cohomology of the Morava stabilizer group $S_{p-1}$ with coefficients in $E_{p-1}$ [ MR 2066512 ]
  • James M. Turner — Characterizing simplicial commutative algebras with vanishing André-Quillen homology [ MR 2066513 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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