  We compute the C*-equivariant quantum cohomology ring of Y, the minimal
resolution of the DuVal singularity C^2/G where G is a finite subgroup of
SU(2). The quantum product is expressed in terms of an ADE root system
canonically associated to G. We generalize the resulting Frobenius manifold to
non-simply laced root systems to obtain an n parameter family of algebra
structures on the affine root lattice of any root system. Using the Crepant
Resolution Conjecture, we obtain a prediction for the orbifold Gromov-Witten
potential of [C^2/G].
