Uniqueness conjecture for the Schrödinger potential from the Dirichlet-to-Neumann map

Let $(M,g)$ be a smooth compact Riemannian manifold with smooth boundary, let $q\in L^{\infty}(M)$ be an unknown bounded function, and let $\Lambda_{g,q}$ denote the Dirichlet-to-Neumann map for the Schrödinger equation

$$(-\triangle_g+q)u=0.$$

Uniqueness conjecture for the Schrödinger potential. The knowledge of $\Lambda_{g,q}$ uniquely determines $q$. This is the potential-recovery version of the Calderón problem in a known Riemannian geometry; the supplied text presents it as a simpler conformal-setting problem but does not state a resolution.