  I review the major surveys of high redshift galaxies observed using integral
field spectroscopy techniques in the visible and in the infrared. The
comparison of various samples has to be done with care since they have
different properties linked to their parent samples, their selection criteria
and the methods used to study them. I present the various kinematic types of
galaxies that are identified within these samples (rotators, mergers, etc.) and
summarize the discussions on the mass assembly processes at various redshifts
deduced from these classifications: at intermediate redshift (z~0.6) merger may
be the main mass assembly process whereas the role of cold gas accretion along
cosmic web filaments may increase with redshift. The baryonic Tully-Fisher
relation is also discussed. This relation seems to be already in place 3 Gyr
after the Big-Bang and is then evolving until the present day. This evolution
is interpreted as an increase of the stellar mass content of dark matter haloes
of a given mass. The discovery of positive abundance gradients in MASSIV and
LSD/AMAZE samples is highlighted. At z~3 this discovery might be linked to cold
gas accretion along cosmic filaments toward the centre whereas at lower
redshift (z~1.3), this may be mainly due to accretion of gas from outer
reservoirs toward the centre via tidal tails due to interactions.
