2 problems

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The classification conjecture for incompressible moderate-growth categories
Classification conjecture. Every incompressible category of moderate growth over $\mathbf{k}$ is a tensor subcategory of $\mathsf{Ver}_{p^infty}$ .
Conjecturerefutedincompressible-categories tensor-categories verlinde-categoriesarXiv posted 2 days ago
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The subterminal Bezrukavnikov conjecture for incompressible categories
Subterminal Bezrukavnikov conjecture. Every incompressible category is a subterminal Bezrukavnikov category.
Conjecturerefutedincompressible-categories tensor-categoriesarXiv posted 2 days ago

The classification conjecture for incompressible moderate-growth categories