Prof. Joel Moore, Physics Dept., UC Berkeley explains that when the motion of electrons in a material or device is effectively restricted to zero, one, or two dimensions, beautiful collective states can emerge: two examples from the 1980's are the fractional quantum Hall effect, which has elementary excitations of fractional charge, and high-temperature superconductivity. Improvements in nanoscale fabrication open up new possibilities for such collective behavior. He discusses how our traditional understanding of electronic ordering, e.g. magnetism or superconductivity, is modified in some low-dimensional devices and materials. Examples include the magnetic states of quantum dots and adsorbed atoms, the "Luttinger liquids" realized in 1D systems, and the gossamer ordering seen in randomly diluted magnets and superconductors.