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Homotopy Theory: Tools and Applications
 
Edited by: Daniel G. Davis University of Louisiana at Lafayette, Lafayette, LA
Hans-Werner Henn Université de Strasbourg, Strasbourg, France
J. F. Jardine Western University, London, Ontario, Canada
Mark W. Johnson Pennsylvania State University, Altoona, PA
Charles Rezk University of Illinois at Urbana-Champaign, Urbana, IL
Homotopy Theory: Tools and Applications
Softcover ISBN:  978-1-4704-4244-6
Product Code:  CONM/729
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-5293-3
Product Code:  CONM/729.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-4244-6
eBook: ISBN:  978-1-4704-5293-3
Product Code:  CONM/729.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Homotopy Theory: Tools and Applications
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Homotopy Theory: Tools and Applications
Edited by: Daniel G. Davis University of Louisiana at Lafayette, Lafayette, LA
Hans-Werner Henn Université de Strasbourg, Strasbourg, France
J. F. Jardine Western University, London, Ontario, Canada
Mark W. Johnson Pennsylvania State University, Altoona, PA
Charles Rezk University of Illinois at Urbana-Champaign, Urbana, IL
Softcover ISBN:  978-1-4704-4244-6
Product Code:  CONM/729
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-5293-3
Product Code:  CONM/729.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-4244-6
eBook ISBN:  978-1-4704-5293-3
Product Code:  CONM/729.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: 7292019; 268 pp
    MSC: Primary 55; 18; 54;

    This volume contains the proceedings of the conference Homotopy Theory: Tools and Applications, in honor of Paul Goerss's 60th birthday, held from July 17–21, 2017, at the University of Illinois at Urbana-Champaign, Urbana, IL.

    The articles cover a variety of topics spanning the current research frontier of homotopy theory. This includes articles concerning both computations and the formal theory of chromatic homotopy, different aspects of equivariant homotopy theory and \(K\)-theory, as well as articles concerned with structured ring spectra, cyclotomic spectra associated to perfectoid fields, and the theory of higher homotopy operations.

    Readership

    Graduate students and research mathematicians interested in homotopy theory.

  • Table of Contents
     
     
    • Articles
    • Agnès Beaudry — The $\alpha $-family in the $K(2)$-local sphere at the prime $2$
    • David Blanc, Mark W. Johnson and James M. Turner — A constructive approach to higher homotopy operations
    • Andrew J. Blumberg and Michael A. Hill — The right adjoint to the equivariant operadic forgetful functor on incomplete Tambara functors
    • Hans-Werner Henn — The centralizer resolution of the $K(2)$-local sphere at the prime $2$
    • J. F. Jardine — Galois descent criteria
    • Nitu Kitchloo — Quantization of the modular functor and equivariant elliptic cohomology
    • Tyler Lawson — Calculating obstruction groups for $E_\infty $ ring spectra
    • Haynes Miller — Comodules, sheaves, and the exact functor theorem
    • Jack Morava — Complex orientations for $\operatorname {THH}$ of some perfectoid fields
    • Markus Szymik — String bordism and chromatic characteristics
    • Zhouli Xu — Mahowald square and Adams differentials
  • Additional Material
     
     
  • 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: 7292019; 268 pp
MSC: Primary 55; 18; 54;

This volume contains the proceedings of the conference Homotopy Theory: Tools and Applications, in honor of Paul Goerss's 60th birthday, held from July 17–21, 2017, at the University of Illinois at Urbana-Champaign, Urbana, IL.

The articles cover a variety of topics spanning the current research frontier of homotopy theory. This includes articles concerning both computations and the formal theory of chromatic homotopy, different aspects of equivariant homotopy theory and \(K\)-theory, as well as articles concerned with structured ring spectra, cyclotomic spectra associated to perfectoid fields, and the theory of higher homotopy operations.

Readership

Graduate students and research mathematicians interested in homotopy theory.

  • Articles
  • Agnès Beaudry — The $\alpha $-family in the $K(2)$-local sphere at the prime $2$
  • David Blanc, Mark W. Johnson and James M. Turner — A constructive approach to higher homotopy operations
  • Andrew J. Blumberg and Michael A. Hill — The right adjoint to the equivariant operadic forgetful functor on incomplete Tambara functors
  • Hans-Werner Henn — The centralizer resolution of the $K(2)$-local sphere at the prime $2$
  • J. F. Jardine — Galois descent criteria
  • Nitu Kitchloo — Quantization of the modular functor and equivariant elliptic cohomology
  • Tyler Lawson — Calculating obstruction groups for $E_\infty $ ring spectra
  • Haynes Miller — Comodules, sheaves, and the exact functor theorem
  • Jack Morava — Complex orientations for $\operatorname {THH}$ of some perfectoid fields
  • Markus Szymik — String bordism and chromatic characteristics
  • Zhouli Xu — Mahowald square and Adams differentials
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
Please select which format for which you are requesting permissions.