  We study the Fleming--Viot particle system in a discrete state space, in the
regime of a fast selection mechanism, namely with killing rates which grow to
infinity. This asymptotics creates a time scale separation which results in the
formation of a condensate of all particles, which then evolves according to a
continuous-time Markov chain with jump rates depending in a nontrivial way on
both the underlying mutation dynamics and the relative speed of growth to
infinity of the killing rate between neighbouring sites. We prove the
convergence of the particle system and completely describe the dynamics of the
condensate in the case where the number of particles is kept fixed, and
partially in the case when the number of particles goes to infinity together
with (but slower than) the minimal killing rate.
