The primitive-spectrum and symplectic-leaf conjecture for quantized function algebras

Let $G$ be a complex semisimple algebraic group, and let $\mathcal{O}_q(G)$ be the corresponding quantized function algebra. Let $\mathbb{C}[G]$ carry the standard Poisson structure, and give its space of symplectic leaves the natural quotient topology. Primitive-spectrum conjecture. The topological space of primitive ideals, namely the primitive spectrum of $\mathcal{O}_q(G)$, is homeomorphic to the space of symplectic leaves of the standard Poisson structure on $\mathbb{C}[G]$. This conjecture connects the topology of primitive spectra of quantum groups with the symplectic-leaf geometry of their classical counterparts.