3 problems

Let $X$ be a smooth complex algebraic variety and $r$ a natural number. Let $\mathcal{M}_B(X,r)$ be the moduli space of semisimple complex local systems of rank $r$. An absolute…

Let $X$ be a smooth complex algebraic variety, and let $\mathcal{M}_B(X)$ be the moduli space of semisimple local systems of all ranks. An absolute $K$-constructible set is a subse…

Let $X$ be a smooth complex algebraic variety. Let $\M_B(X)$ denote the moduli space of semisimple local systems of all ranks, and call a subset of its complex points absolute when…