3 problems

Let $F$ be a field of low cohomological dimension. Consider the motivic Adams spectral sequence based on $\operatorname{BPGL}\langle 2 \rangle$, and let $n$ be a positive integer.…

Let $A$ be a real or complex commutative Banach algebra with involution, let $\varepsilon$ denote the hermitian sign, and let $m$ be the coefficient modulus. The algebraic-to-topol…

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 herm…