  We study the asymptotics of the point process induced by an interacting
particle system with mean-field drift interaction. Under suitable assumptions,
we establish propagation of chaos for this point process: it has the same weak
limit as the point process induced by i.i.d. copies of the solution of a
limiting Mckean--Vlasov equation. This weak limit is a Poisson point process
whose intensity measure is related to classical extreme value distributions. In
particular, this yields the limiting distribution of the normalized upper order
statistics.
