The proceedings of a July 2017 conference on homotopy theory held in Urbana, Illinois contains 11 selected papers. The topics include a constructive approach to higher homotopy operations, the right adjoint to the equivalent operadic forgetful functor on incomplete Tambara functions, the centralizer resolution of the K(2)-local sphere at the prime 2, the quantization of the modular function and equivariant elliptic cohomology, complex orientations for THH of some perfectoid fields, and the Mahowald square and Adams differentials.,The proceedings of a July 2017 conference on homotopy theory held in Urbana, Illinois contains 11 selected papers. The topics include a constructive approach to higher homotopy operations, the right adjoint to the equivalent operadic forgetful functor on incomplete Tambara functions, the centralizer resolution of the K(2)-local sphere at the prime 2, the quantization of the modular function and equivariant elliptic cohomology, complex orientations for THH of some perfectoid fields, and the Mahowald square and Adams differentials.,The proceedings of a July 2017 conference on homotopy theory held in Urbana, Illinois contains 11 selected papers. The topics include a constructive approach to higher homotopy operations, the right adjoint to the equivalent operadic forgetful functor on incomplete Tambara functions, the centralizer resolution of the K(2)-local sphere at the prime 2, the quantization of the modular function and equivariant elliptic cohomology, complex orientations for THH of some perfectoid fields, and the Mahowald square and Adams differentials.,The proceedings of a July 2017 conference on homotopy theory held in Urbana, Illinois contains 11 selected papers. The topics include a constructive approach to higher homotopy operations, the right adjoint to the equivalent operadic forgetful functor on incomplete Tambara functions, the centralizer resolution of the K(2)-local sphere at the prime 2, the quantization of the modular function and equivariant elliptic cohomology, complex orientations for THH of some perfectoid fields, and the Mahowald square and Adams differentials. Annotation ©2019 Ringgold, Inc., Portland, OR (protoview.com)
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.
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.
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