5 problems

Let $Q$ be a quiver without loops, let $\mathcal{M}=\mathcal{M}_{Q,\theta}(\mathsf{v},\mathsf{w})$ be a zero-dimensional quiver variety with $\theta=(1,1,\ldots,1)$, and let…

Dinkins–Smirnov conjecture. The vertex functions of zero-dimensional quiver varieties factorize into a product of $q$-binomials, each of which corresponds to a repelling weight spa…

3d mirror vertex-function conjecture. The vertex functions of $X$ with vanishing equivariant parameters are given by the Taylor series expansions of

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

$3d$-mirror symmetry. For every symplectic variety from this class, there exists a dual variety $X'$ called the $3d$-mirror of $X$.