5 problems

Assume that $X$ is complete, that the base field has characteristic $0$, and that the sheaf theory is that of D-modules. Let $H$ be the metaplectic Langlands dual group, let…

Let $X$ be a curve, let $G$ be a constant group scheme over $X$, and let $\ell$ be an integer prime to the characteristic. Set $A=\mu_\ell$, so that…

Let $X$ be a curve and $G$ a constant group scheme over $X$. Let $(K_2)_{\operatorname{Zar}}$ be the Zariski sheafification of the prestack assigning $K_2(A)$ to an affine scheme…

Compatibility conjecture. The resulting actions of

Let $G$ be a reductive group, let $\cG$ be its usual Langlands dual group, and let $\kappa$ be a non-degenerate twisting. Let $\CG$ and $\check\CG$ be the gerbes on $\Gr_G$ and…