  The Be phenomenon, that is the ejection of matter from Be stars into a
circumstellar disk, has been a long lasting mystery. In the last few years, the
CoRoT (Convection, Rotation and planetary Transits) satellite brought clear
evidence that Be outbursts are directly correlated with pulsations. We found
that it may be the transport of angular momentum by waves or pulsation modes
that brings the already rapid stellar rotation to its critical value at the
surface, and allows the star to eject material. The recent discovery of
stochastically excited gravito-inertial modes by CoRoT in a hot Be star
strengthens this scenario. We present the CoRoT observations and modeling of
several Be stars and describe the new picture of the Be phenomenon which arose
from these results.
