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arxiv: 1608.03795 · v3 · pith:25GOVT3Rnew · submitted 2016-08-12 · 🧮 math.AT · math.RT

The algebraic chromatic splitting conjecture for Noetherian ring spectra

classification 🧮 math.AT math.RT
keywords chromaticconjecturenoetherianringsplittingalgebraicapplicationarbitrary
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We formulate a version of Hopkins' chromatic splitting conjecture for an arbitrary structured ring spectrum $R$, and prove it whenever $\pi_*R$ is Noetherian. As an application, these results provide a new local-to-global principle in the modular representation theory of finite groups.

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