2 problems

Let $K$ be a number field and let $\Gamma$ be a uniform pro-$p$ group of dimension $d>2$, hence infinite. A Galois extension is finitely and tamely ramified if it is ramified at on…

Let $G$ be a simply connected complex reductive group, let $X$ be a smooth complex projective curve, and let $x\in X$. Let $Bun_G(X,x)$ be the moduli stack of $G$-bundles with a…