7 problems

Let $G$ be a reductive group with maximal torus $T$, coweight lattice $X_{*}(T)$, dominant coweights $X_{*}(T)_{+}$, Langlands dual group $\check{G}$, and principal equivariant aff…

Let $G$ be a reductive group, let $\check{G}$ be its Langlands dual group, and let $\kappa$ be a Kac–Moody level for $G$. Denote by $\check{\kappa}$ the dual level for $\check{G}$,…

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…

Gaiotto–Creutzig conjecture. The object $A^n[\mathfrak g,\psi]$ can be given the structure of a simple vertex operator superalgebra.

Let $G$ be a complex reductive group, let $X$ be a smooth complex projective curve, and let $G^{\vee}$ be its Langlands dual group. Let $\mathfrak{\det}$ denote the determinant line…

Let $X$ be a global curve, let $G$ and $G$ be Langlands-dual groups, and let $Bun_G$ and $Bun_{G}$ be their stacks of principal bundles on $X$. For twisting parameters $c$ and…

Let $G$ be a reductive group with Langlands dual group $G$, and let $\kappa$ and $check\kappa$ be invariant forms on their Lie algebras such that, for the mutually dual Cartan subal…