  The potential of constraints on the angle alpha of the Unitarity Triangle
from studies of B0 -> pi+ pi- pi0 decays is reviewed. The experimental inputs
needed for an isospin analysis are starting to become available. The precision
of current measurements is extrapolated to higher luminosities and the
constraints on alpha that could be obtained in the foreseeable future are
discussed. Studies of the sensitivity of a time-dependent Dalitz plot analysis
are briefly reviewed.
