
Homotopy Theory
Tools and Applications
American Mathematical Society (Publisher)
Published on 30. July 2019
Book
Paperback/Softback
268 pages
978-1-4704-4244-6 (ISBN)
Description
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.
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
400 gr
ISBN-13
978-1-4704-4244-6 (9781470442446)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Daniel G. Davis, University of Louisiana at Lafayette, LA.
Hans-Werner Henn, Universite de 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, IL.
Hans-Werner Henn, Universite de 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, IL.
Content
A. Beaudry, The $\alpha$-family in the $K(2)$-local sphere at the prime $2$
D. Blanc, M. W. Johnson, and J. M. Turner, A constructive approach to higher homotopy operations
A. J. Blumberg and M. A. Hill, The right adjoint to the equivariant operadic forgetful functor on incomplete Tambara functors
H.-W. Henn, The centralizer resolution of the $K(2)$-local sphere at the prime $2$
J. F. Jardine, Galois descent criteria
N. Kitchloo, Quantization of the modular functor and equivariant elliptic cohomology
T. Lawson, Calculating obstruction groups for $E_\infty$ ring spectra
H. Miller, Comodules, sheaves, and the exact functor theorem
J. Morava, Complex orientations for $\mathrm{THH}$ of some perfectoid fields
M. Szymik, String bordism and chromatic characteristics
Z. Xu, Mahowald square and Adams differentials.
D. Blanc, M. W. Johnson, and J. M. Turner, A constructive approach to higher homotopy operations
A. J. Blumberg and M. A. Hill, The right adjoint to the equivariant operadic forgetful functor on incomplete Tambara functors
H.-W. Henn, The centralizer resolution of the $K(2)$-local sphere at the prime $2$
J. F. Jardine, Galois descent criteria
N. Kitchloo, Quantization of the modular functor and equivariant elliptic cohomology
T. Lawson, Calculating obstruction groups for $E_\infty$ ring spectra
H. Miller, Comodules, sheaves, and the exact functor theorem
J. Morava, Complex orientations for $\mathrm{THH}$ of some perfectoid fields
M. Szymik, String bordism and chromatic characteristics
Z. Xu, Mahowald square and Adams differentials.