  We compute the stringy $E$-function of the affine cone over a Grassmannian.
If the Grassmannian is not a projective space then its cone does not admit a
crepant resolution. Nonetheless the stringy $E$-function is sometimes a
polynomial and in those cases the cone admits a noncommutative crepant
resolution. This raises the question as to whether the existence of a
noncommutative crepant resolution implies that the stringy $E$-function is a
polynomial.
