# .

# Redshift conjecture

In mathematics, more specifically in chromatic homotopy theory, the redshift conjecture states, roughly, that algebraic K-theory K(R) has chromatic level one higher than that of a complex-oriented ring spectrum R.[1]

References

Future directions, Tyler Lawson, April 27, 2013

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 [1], 2006.

Craig Westerland, A higher chromatic analogue of the image of J, http://arxiv.org/pdf/1210.2472.pdf

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.

External links

red-shift conjecture in nLab

Undergraduate Texts in Mathematics

Graduate Studies in Mathematics

Retrieved from "http://en.wikipedia.org/"

All text is available under the terms of the GNU Free Documentation License