HOMOTOPY THEORY: TOOLS AND APPLICATIONS

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.

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.

Authors
• 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.