A self-consistent theory of the admittance of a perfect ballistic, loc
ally charge neutral wire is proposed. Compared to a non-interacting th
eory, screening effects drastically change the frequency behavior of t
he conductance. In the single-channel case the frequency dependence of
the admittance is monotonic, while for two or more channels collectiv
e interchannel excitations lead to resonant structures in the admittan
ce. The imaginary part of the admittance is typically positive, but ca
n become negative near resonances.