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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''. 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. In July 2022, Burklund, Schlank and Yuan announced a solution of a version of the redshift conjecture for arbitrary E_-ring spectra, after Hahn and Wilson did so earlier in the case of the truncated Brown-Peterson spectra BP.Burklund, Schlank, Yuan (2022). ''The Chromatic Nullstellensatz''


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External links

* Algebraic topology Homotopy theory Conjectures {{topology-stub