In this lecture results are presented about the experimental evidence of the existence of a dynamic crossover and of a liquid-liquid (L-L) critical point in supercooled confined water. In particular the topics covered are: the discovery of the density minimum and of the peaking of the thermal expansion coefficient performed by an extensive study of the equation of state (EOS) of 1-D confined water; the finding of a dynamic crossover in the alpha-relaxation times of 1-D and 3-D confined water by quasi-elastic neutron scattering (QENS) studies; supporting evidence for the dynamic crossover derived from molecular dynamics (MD) simulations on bulk and confined water and from an extended mode-coupling theory (eMCT) of a Lennard-Jones (L-J) system; evidence of the dynamic crossover phenomenon in other glass-forming liquids.