3 problems

Let $L/K$ be as above, and let $S$ and $T$ be finite non-empty disjoint sets of places of $K$, with $S$ containing all places ramifying in $L^+_\infty/K$ and all infinite places. W…

Let $n$ be the dimension parameter, let $G$ be the group indexing the choices of $\sigma$, and let $\mathrm{KW}_{b,\sigma}^{\mathscr{A}}(\xi)$ denote the corresponding arithmetic K…

Let $F'/F$ be the finite extension and let $G_{F'/F}$ be its Galois group. For the Tate motive $\mathbb{Q}(m)_{F'/F}$, let $L^*(\mathbb{Q}(m)_{F'/F})$ be its equivariant Artin $L$-…