5 problems

Let $X$ be the nilpotent orbit considered in the paper, let $T$ be the torus used for its Hamiltonian reduction, and let $X^{!,\uparrow}$ be the corresponding BFN Coulomb branch, c…

Special-linear reduction conjecture. The Hikita conjecture holds for the pair $X\!/\!/\! /T$ and $X^{!,\uparrow}$. This conjecture proposes that the Hikita correspondence is preser…

Set $G=\operatorname{SL}_n(\mathbb C)$, let $T$ be the torus of diagonal matrices, let $B$ be the upper-triangular Borel subgroup, and let $U$ be its unipotent subgroup. Let…

The Hikita map is the map relating the cohomology of a symplectic resolution to the coordinate ring of the scheme-theoretic fixed points on its symplectic dual. A related dual pair…

Let $\fg$ be a classical Lie algebra of type $B$, $C$, or $D$, with dual Lie algebra $\fg^\vee$, and let $e^\vee\in\fg^\vee$ be nilpotent with partition $\lambda^\vee$. Let…