3 problems

Let $X$ be a smooth projective complex curve. The pro-completed category…

Let $X$ be a smooth projective complex curve and let $\mathbf{Bun}(X)_\mathsf{dR}$ and $\mathbf{Coh}(X_\mathsf{dR})$ denote the de Rham moduli stacks of bundles and coherent sheave…

Let $X$ be a smooth projective complex curve. The derived stack $\mathbf{Coh}_{/\mathbb A^1}^\ast(X_\mathsf{Del})$ parametrizes Deligne's $\lambda$-connections, interpolating betwe…