3 problems

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Greenlees's algebraic model conjecture for rational spectra of compact Lie groups
Let $G$ be a compact Lie group. Write ${{\mathsf{Sp}}}^G_\mathbb{Q}$ for the category of rational $G$ -spectra, and let $\EuScript{A}(G)$ be an algebraic category. Greenlees's algeb…
Conjecturesolvedalgebraic-models equivariant-homotopy-theory rational-homotopy-theoryarXiv posted 2 days ago
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Franke's algebraicity conjecture for chromatic homotopy categories
Franke's algebraicity conjecture. There should be an equivalence of plain categories
Conjectureopenalgebraic-models chromatic-homotopy stable-homotopy-theoryarXiv posted 2 days ago
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The algebraic model conjecture for rational equivariant spectra
Algebraic model conjecture. There should be a nice algebraic model for rational $G$ -spectra.
Conjectureopenalgebraic-models equivariant-spectraarXiv posted 2 days ago

Greenlees's algebraic model conjecture for rational spectra of compact Lie groups