In this article, we design Asymptotic-Preserving Particle-In-Cell methods for the Vlasov-Maxwell system in
the quasi-neutral limit, this limit being characterized by a Debye length negligible compared to the space scale
of the problem. These methods are consistent discretizations of the Vlasov-Maxwell system which, in the
quasi-neutral limit, remain stable and are consistent with a quasi-neutral model (in this quasi-neutral model,
the electric eld is computed by means of a generalized Ohm law). The derivation of Asymptotic-Preserving
methods is not straightforward since the quasi-neutral model is a singular limit of the Vlasov-Maxwell model.
The key step is a reformulation of the Vlasov-Maxwell system which uni es the two models in a single set
of equations with a smooth transition from one to another. As demonstrated in various and demanding
numerical simulations, the Asymptotic-Preserving methods are able to treat efficiently both quasi-neutral
plasmas and non-neutral plasmas, making them particularly well suited for complex problems involving dense
plasmas with localized non-neutral regions.