2 problems

Conservativity-spectrum conjecture. In general, conservativity spectra consist precisely of $\ell$-sequences.

For a natural number $d\geq 1$, let $\mathbf{SH}^{S^1}(k)(d)$ be the localizing subcategory generated by $\Sigma^d_{\mathbb{G}_m}\Sigma^\infty_{S^1}X_+$ for…