  We present an analytical derivation of the electromagnetic response of a
spherical object coated by a conductive film, here exemplified by a graphene
coating. Applying the framework of Mie-Lorenz theory augmented to account for a
conductive boundary condition, we derive the multipole scattering coefficients,
modified essentially through the inclusion of an additive correction in
numerator and denominator. By reductionist means, starting from the retarded
response, we offer simple results in the quasistatic regime by analyzing the
multipolar polarizability and associated dispersion equation for the localized
plasmons. We consider graphene coatings of both dielectric and conducting
spheres, where in the former case the graphene coating introduces the plasmons
and in the latter case modifies in interesting ways the existing ones. Finally,
we discuss our analytical results in the context of extinction cross-section
and local density of states. Recent demonstrations of fabricated spherical
graphene nanostructures make our study directly relevant to experiments.

Mesoscale and Nanoscale Physics