  I discuss here some well established experimental facts which have been shown
to be generic of the pseudogap in underdoped cuprates. Some recent developments
on Cellular Dynamic Mean Field Theories of the doped Hubbard model on a square
lattice are nowadays allowing one to compute physical properties and k resolved
single particle spectra. At high temperatures, recent results present
qualitative features which perfectly fit the experimental observations done for
more than two decades on the pseudogap in the cuprates. Most various broken
symmetry states detected recently at lower temperatures than the pseudogap T*,
certainly require more complicated modelling, and are not necessarily generic.
I suggest that various perturbations due to the order (or disorder) of chemical
dopants, which can hardly be avoided in actual materials, might drive the
pseudogap electronic matter into specific ground states which exhibit
interesting correlated electronic orders.
