4 problems

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Algebraic model conjecture for rational G-spectra blocks
Let $G$ be a compact Lie group and let $\mathfrak{X}$ be a collection of conjugacy classes of closed subgroups of $G$ . Write $\text{$ G $-\bf spectra}\langle \mathfrak{X} \rangle$ fo…
Conjectureopenequivariant-homotopy-theory g-spectra rational-homotopy-theoryarXiv posted 2 days ago
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Genuine $G$ -spectrum conjecture for the equivariant Euler characteristic
Equivariant Euler characteristic conjecture. This map should arise as the fixed points of some map of genuine $G$ -spectra.
Conjectureopenequivariant-k-theory euler-characteristic g-spectraarXiv posted 2 days ago
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Genuine $G$ -spectrum realization conjecture for the equivariant $SK$ Mackey functor
Equivariant $SK$ realization conjecture. The $G$ -Mackey functor formed by the equivariant $SK$ -groups should be the $\pi_0$ -Mackey functor of some genuine $G$ -spectrum.
Conjectureopenequivariant-k-theory g-spectra mackey-functorsarXiv posted 2 days ago
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Genuine $G$ -spectrum conjecture for equivariant squares $K$ -theory
Genuine spectrum conjecture. The squares $K$ -theory of equivariant $SK$ -manifolds should arise as the fixed points of a genuine $G$ -spectrum.
Conjectureopenequivariant-k-theory g-spectra manifoldsarXiv posted 2 days ago

Algebraic model conjecture for rational G-spectra blocks