4 problems

Let $X$ be a separated scheme over $\mathbb{C}$ of finite type and let $A$ be an abelian group. The semi-topological Quillen-Lichtenbaum conjecture for coherent sheaves. The canoni…

Let $X$ be a smooth separated scheme over $\mathbb{C}$ of finite type and let $A$ be an abelian group. The semi-topological Quillen-Lichtenbaum conjecture. The canonical map … is a…

Let $T$ be a dg-category over $\mathbb{C}$ and let $n>0$ be an integer. Write $\mathbf{K}(T)/n$ and $\mathbf{K}^{\mathrm{st}}(T)/n$ for the reductions modulo $n$ of the algebraic a…

Let $T$ be a smooth proper dg-category over $\mathbb{C}$, and let $\mathbf{K}^{\mathrm{st}}_i(T)$ denote its semi-topological K-groups. Vanishing conjecture. … This is presented as…