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Homotopy theory: tools and applications. A conference in honor of Paul Goerss’s 60th birthday, University of Illinois at Urbana-Champaign, Urbana, IL, USA, July 17–21, 2017. (English) Zbl 1419.55001
Contemporary Mathematics 729. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4244-6/pbk; 978-1-4704-5293-3/ebook). xi, 268 p. (2019).
Publisher’s 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 of this volume will be reviewed individually.
Indexed articles:
Beaudry, Agnès, The $$\alpha$$-family in the $$K(2)$$-local sphere at the prime $$2$$, 1-19 [Zbl 1429.55014]
Blanc, David; Johnson, Mark W.; Turner, James M., A constructive approach to higher homotopy operations, 21-74 [Zbl 1429.55013]
Blumberg, Andrew J.; Hill, Michael A., The right adjoint to the equivariant operadic forgetful functor on incomplete Tambara functors, 75-92 [Zbl 1432.55021]
Henn, Hans-Werner, The centralizer resolution of the $$K(2)$$-local sphere at the prime $$2$$, 93-128 [Zbl 1429.55009]
Jardine, J. F., Galois descent criteria, 129-155 [Zbl 07120040]
Kitchloo, Nitu, Quantization of the modular functor and equivariant elliptic cohomology, 157-177 [Zbl 1445.55005]
Lawson, Tyler, Calculating obstruction groups for $$E_\infty$$ ring spectra, 179-203 [Zbl 1429.55011]
Miller, Haynes, Comodules, sheaves, and the exact functor theorem, 205-220 [Zbl 1440.55002]
Morava, Jack, Complex orientations for THH of some perfectoid fields, 221-237 [Zbl 1426.19002]
Szymik, Markus, String bordism and chromatic characteristics, 239-254 [Zbl 1427.55004]
Xu, Zhouli, Mahowald square and Adams differentials, 255-268 [Zbl 1426.55016]
##### MSC:
 55-06 Proceedings, conferences, collections, etc. pertaining to algebraic topology 18-06 Proceedings, conferences, collections, etc. pertaining to category theory 55P43 Spectra with additional structure ($$E_\infty$$, $$A_\infty$$, ring spectra, etc.) 55N22 Bordism and cobordism theories and formal group laws in algebraic topology 55N91 Equivariant homology and cohomology in algebraic topology 18D50 Operads (MSC2010) 55Q45 Stable homotopy of spheres 55Q51 $$v_n$$-periodicity 55T15 Adams spectral sequences 54B40 Presheaves and sheaves in general topology 55U10 Simplicial sets and complexes in algebraic topology 55S35 Obstruction theory in algebraic topology 00B25 Proceedings of conferences of miscellaneous specific interest 00B30 Festschriften