2 problems

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Mod-p cohomological rigidity conjecture for classifying spaces of compact Lie groups
Let $G$ be a compact connected Lie group, let $X$ be a $p$ -complete space, and let $\mathcal{A}_p$ denote the mod- $p$ Steenrod algebra. Suppose that … as algebras over…
Conjectureopencompact-lie-groups homotopy-theory mod-p-cohomologyarXiv posted 2 days ago
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The lower-order finite p-group cycle map conjecture
Cycle map conjecture. The map $cl$ is injective.
Conjectureopencycle-maps finite-groups mod-p-cohomologyarXiv posted 2 days ago

Mod-p cohomological rigidity conjecture for classifying spaces of compact Lie groups