7 problems

Let $X$ and $X^!$ be symplectically dual conical Hamiltonian symplectic resolutions, with equivariant and Kähler roots, rings of differential operators, and associated $D$-modules…

Let $T$ be a torus, let $\mathfrak{t}$ be its Lie algebra, and let $T^{\vee}_{\mathbb{C}}$ be the complex dual torus. Let $\mathrm{BFM}(T^{\vee})$ denote the associated BFN space.…

Let boundary VOAs arise from topologically twisted $\mathcal{N}=4$ SQFTs, and let their associated varieties be the corresponding Poisson-geometric spaces. Let Slodowy varieties an…

Let a non-rank-zero 3d $\mathcal{N}=4$ SQFT be a three-dimensional supersymmetric quantum field theory with nonzero rank, and let its boundary VOA be obtained after a topological t…

Let $Y$ be a Hamiltonian $G$-manifold with maximal torus $T$, Weyl group $W$, and root system. Let $(Y^\vee,f)$ be its two-dimensional mirror Landau–Ginzburg model, let…

Let $Y$ be a Hamiltonian $G$-manifold, with maximal torus $T$ and Weyl group $W$, and suppose the $T$-action on $Y$ extends to a Hamiltonian $G$-action. Let…

Vertex-function character formula. The vertex functions of $X$ with vanishing equivariant parameters are given by the Taylor series expansions of