6 problems

Birational-sheet degree conjecture. The degree of $\mu$ equals the order of the stabilizer:

Let $G$ be a connected reductive group, let $E$ be an elliptic curve, and let $\operatorname{Bun}_G^{ss,0}(E)$ denote the moduli stack of semistable degree-zero $G$-bundles on $E$.…

Let $G$ be a connected reductive group. A $\mathtt{q}$-cuspidal datum is a $G$-conjugacy class of pairs $(L,C)$, where $L$ is an elliptic-pseudo Levi subgroup of $G$ and $C$ is a s…

Let $G$) be a connected reductive group, let $W$ be its Weyl group, and let $\rho$ denote the relevant quantum Springer constructions appearing in the isomorphism and theorems cite…

Let $G$ be the reductive group under consideration, let $\widetilde{G}$ denote its Grothendieck resolution, and let ${\mathcal N}$ be the nilpotent cone in its Lie algebra. Write…

Invariant exterior-algebra conjecture. Except when $e=F_4(a_3)$ in type $F_4$ or $e=E_8(a_7)$ in type $E_8$, this algebra is an exterior algebra on the subspace