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词条 Redshift conjecture
释义

  1. References

  2. Further reading

  3. External links

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, https://arxiv.org/pdf/1210.2472.pdf

Further reading

  • {{cite book |title= The Local Structure of Algebraic K-Theory | volume=18 | series=Algebra and Applications | first1=Bjørn Ian | last1=Dundas | first2=Thomas G. | last2=Goodwillie | first3=Randy | last3=McCarthy | publisher=Springer-Verlag | year=2012 | isbn=1447143930 | url=http://folk.uib.no/nmabd/b/b.pdf | page=313 (or 301)}}

External links

  • {{nlab|id=red-shift+conjecture|title=red-shift conjecture}}
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3 : Algebraic topology|Homotopy theory|Conjectures

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