The 2-primary hermitian K-theory comparison conjecture

Let $S$ be a scheme with residue fields $k(s)$, let $\mathrm{vcd}_{2}$ denote 2-cohomological virtual dimension, and let $\sigma$ be the comparison map from algebraic to étale hermitian $K$-theory with coefficients $\mathbb{Z}/2^{\nu}$. The 2-primary comparison conjecture. With the coefficient group $\mathbb{Z}/2^{\nu}$, the map $\sigma$ is bijective whenever

$$n\geq\sup\{\mathrm{vcd}_{2}(k(s))-1\}_{s\in S}.$$

The preceding theorem proves étale descent after inverting the Bott element and gives split surjectivity in a larger range; the conjecture predicts bijectivity in the sharper stated range.