7 problems

Let $G$ be a reductive group, let $\check{G}$ be its Langlands dual group, and let $\kappa$ be a nondegenerate level for $G$ with dual level $\check{\kappa}$ for $\check{G}$. Write…

Gaitsgory's conjecture. If ${\EuScript C}$ is acted on by $G(K)$, this canonical functor is an equivalence, so that $\mathsf{Whit}({\EuScript C})$ is unambiguously defined by eithe…

Let $G$ be a connected reductive group with connected center. Write $\type{\coeff}_{G,\ext}: \Dmod(\Bun_G)\to\Wh(G,\ext)$ for the extended Whittaker coefficient functor from $D$-mo…

Let $\G$ be a loop group, let $\bN$ be its loop maximal unipotent subgroup, and let $\C$ be a category equipped with a $\bG$-action. Let $\chi$ be the character of $\bN$ defined fr…

Let $G$ be a reductive group, let $N$ be its maximal unipotent subgroup, and let $\chi:N\ppart\to\mathbb{G}_a$ be the non-degenerate character defined by … where…

Let $G$ be a reductive group, let $N$ be its maximal unipotent subgroup, and let $\chi:N\ppart\to\mathbb{G}_a$ be a non-degenerate character. Let $\C$ be a category acted upon by…

Let $P$ be a parabolic subgroup of $G$, let $Q$ be another parabolic subgroup, and let $D_{IW_Q}({{\mathcal F}\ell}_P)$ be the corresponding category of partial Whittaker sheaves o…