5 problems

Andrews et al.'s conjecture. The specialization of the Macdonald index at $z=1$ satisfies

The $(A_1,D_{2n+1})$ Macdonald-index conjecture. The Macdonald index is

Let $(q;q)_m=\prod_{j=1}^{m}(1-q^j)$ and let $\binom{2m}{k}_q$ be the $q$-binomial coefficient. The $(A_1,D_3)$ Macdonald-index conjecture. The Macdonald index of the Argyres–Dougl…

Let $\scD^{(1)}_{\ell}$ be the $\ell$-dimensional module singled out among the four modules in the shortening regime, with basis indexed by $0\leq j\leq \ell-1$. Let…

Let $(J^b[k],Y)$ be an indecomposable Argyres-Douglas theory, where $J^b[k]$ denotes an irregular singularity and $Y$ is a regular singularity. Let $h$ be the dual Coxeter number o…