Infinitesimal mirror symmetry for Calabi–Yau varieties

Let $Y$ be a Calabi–Yau variety of dimension $n$. Infinitesimal mirror symmetry conjecture. There exists a Calabi–Yau variety $Y^{\circ}$ and isomorphisms of complex vector spaces

$$\forall\ 0\leq p,q\leq\dim Y\quad \mu_{p,q}:H^p\left(\Omega^q_Y\right)\cong H^p\left(\Omega^{n-q}_{Y^{\circ}}\right)$$

inducing a mirror-reversing identification of the Hodge diamonds of $Y$ and $Y^{\circ}$. This is presented as a minimal mathematical consequence of mirror symmetry and as the differential version of the local mirror-symmetry statement; no proof or general resolution is supplied.