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arXiv · 1608.03795

The algebraic chromatic splitting conjecture for Noetherian ring spectra

Tobias Barthel·Drew Heard·Gabriel Valenzuela
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Abstract

We formulate a version of Hopkins' chromatic splitting conjecture for an arbitrary structured ring spectrum $R$, and prove it whenever $π_*R$ 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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Tobias Barthel, Drew Heard, Gabriel Valenzuela. 2018-06-04. The algebraic chromatic splitting conjecture for Noetherian ring spectra. https://doi.org/10.1007/s00209-018-2066-5

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