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Chromatic Higher Semiadditivity by Height Induction
Published 14 Jan 2025 in math.AT and math.KT | (2501.08092v1)
Abstract: We give a new proof of the $\infty$-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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