Chromatic Higher Semiadditivity by Height Induction

Abstract

We give a new proof of the ∞-semiadditivity of K(n)-local spectra. The proof proceeds by induction on the height via algebraic K-theory, utilizing recent advances in chromatic homotopy theory and the redshift conjecture, instead of using the Ravenel-Wilson computation of the Morava K-theory of Eilenberg-MacLane spaces.

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