Quantum cohomology of minuscule type D Grassmannians

Among all type $D$ Grassmannians $O(m,2n)$, the minuscule ones ($m=1$ and $m=n$) have quantum cohomology rings that are easiest to understand. We recall the basic structure results (ring presentation, Pieri and Giambelli formulas) and contrast them with the corresponding results
for non-minuscule type $D$ Grassmannians as well as (co)minuscule homogeneous varieties of other Lie types.