group cohomology, nonabelian group cohomology, Lie group cohomology
cohomology with constant coefficients / with a local system of coefficients
differential cohomology
symmetric monoidal (∞,1)-category of spectra
In chromatic homotopy theory the redshift conjecture is a conjecture about the nature of the iterated algebraic K-theory spectrum of a connective E-infinity ring . Roughly, its say that has chromatic level one higher than has.
The conjecture was originally formulated by John Rognes (Rognes 99, Rognes 00) and appeared in Ausoni & Rognes 2008, review in Rognes 2014.
Exposition in:
The conjecture originates with
John Rognes, Algebraic K-theory of finitely presented ring spectra, lecture at Schloss Ringberg, Germany, January 1999 (pdf, pdf)
John Rognes, Algebraic K-theory of finitely presented ring spectra, Oberwolfach talk September 2000 (OWF abstract pdf scan)
The conjecture appears published in
See also
Tyler Lawson, in section 3 of: The future, Talbot lectures 2013 (pdf)
Benjamin Antieau, Some open problems in the K-theory of ring spectra (pdf)
Previous work motivating the conjecture was the study (see also at iterated algebraic K-theory) of the algebraic K-theory of the complex K-theory spectrum (also thought of as the classifying space for BDR 2-vector bundles) in
which was motivated by the desire to turn topological K-theory into “a form of” elliptic cohomology by a kind of categorification.
For more see the references at iterated algebraic K-theory.
Last revised on July 22, 2021 at 08:58:34. See the history of this page for a list of all contributions to it.