Redshift conjecture

In mathematics, more specifically in chromatic homotopy theory, the redshift conjecture states, roughly, that algebraic K-theory has chromatic level one higher than that of a complex-oriented ring spectrum R.[1] It was formulated by John Rognes in a lecture at Schloss Ringberg, Germany, in January 1999, and made more precise by him in a lecture at Mathematische Forschungsinstitut Oberwolfach, Germany, in September 2000.[2] [3]

References
  1. Future directions, Tyler Lawson, April 27, 2013
  2. Algebraic K-theory of finitely presented ring spectra, John Rognes, September 29, 2000
  3. MFO Vortragsbuch 126, Abstract
Notes
  • Christian Ausoni and John Rognes, The Chromatic Red-Shift in algebraic K-theory, Guido’s book of conjectures, available at www.math.osu.edu/∼math-indira/GMFinal.pdf or , 2006.
  • Craig Westerland, A higher chromatic analogue of the image of J, arXiv:1210.2472

Further reading
  • Dundas, Bjørn Ian; Goodwillie, Thomas G.; McCarthy, Randy (2012). The Local Structure of Algebraic K-Theory (PDF). Algebra and Applications. 18. Springer-Verlag. p. 313 (or 301). ISBN 1447143930.
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