3 problems

Let $e$ be a distinguished nilpotent element, so that $A_e=Q_e$, and let $c$ be the corresponding two-sided cell. Let $J_c$ be identified with…

Conjecture on the quantum denominator. When $w_1$ and $w_2$ are both integral, this value of $M$ suffices for all specialisations to ensure that

Assume Conjecture A for $(W,S)$, and let ${\mathfrak A}$ be the set of essential hyperplanes of $(W,S)$. Let $X\in{\mathrsfs{P}}\!os({\mathbb Z}[{\bar S}])$, let $C$ be a left cell…