9 problems

Let $\lambda_O$ be the map in the displayed comparison diagram from … to … The diagram compares this map with the corresponding general linear maps and the maps $\alpha$ and…

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.…

Proper–flat extension conjecture. Theorem $$ remains valid when the map $f$ is more generally proper and the map $g$ is flat.

Let $R$ be a general ring with a form parameter $M$. Write $\rho$ for the operation that changes the sign and form parameter when passing from the unitary group…

Let $V$ be an algebraic variety over $R$, let $X$ denote its associated real topological space, and let $G$ be the group acting on $X$ by complex conjugation. Write…

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 $A$ be a ring, let $m$ be a $2$-power, and let $p$ be the periodicity degree appearing in the hermitian $K$-theory periodicity maps. The inverse system consists of the groups…

Let $k$ be a field of characteristic different from $2$, let $\varepsilon$ denote the hermitian sign, and let $\Gamma_k$ be the comparison map from algebraic to étale hermitian $K$…

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…