The finiteness conjecture for the Calogero–Moser classifying map

Let $V$ be a symplectic vector space and $G\subset Sp(V)$ a finite group. Let $C$ be the parameter space of $G$-invariant functions on the symplectic reflections in $G$, let $\mathcal M/C$ be the Calogero–Moser deformation of $V/G$, and let $S$ be the base of the universal Poisson deformation of $V/G$. The finiteness conjecture for the Calogero–Moser classifying map. For an arbitrary symplectic quotient singularity $V/G$, the classifying map

$$C\to S$$

of $\mathcal M/C$ is finite. The source presents this as a stronger conjecture than the preceding generic-smoothness assertion; no resolution status is supplied.