  We study the mod $p$ equivariant quantum cohomology of conical symplectic
resolutions. Using symplectic genus zero enumerative geometry, Fukaya and
Wilkins defined operations on mod $p$ quantum cohomology deforming the
classical Steenrod operations on mod $p$ cohomology. We conjecture that these
quantum Steenrod operations on divisor classes agree with the $p$-curvature of
the mod $p$ equivariant quantum connection, and verify this in the case of the
Springer resolution. The key ingredient is a new compatibility relation between
the quantum Steenrod operations and the shift operators.
