Some results on Laughlin's fractional quantum Hall effect wave function

Electrons on a two-dimensional surface subjected to a magnetic field display a curious condensed matter effect known as the quantum Hall effect (QHE). In 1983, R. B. Laughlin proposed a wave function which is now widely used as an approximate ground state for QHE systems at certain densities. In this talk I will present some rigorous results on the thermodynamic limit of Laughlin's function when it is adapted to a cylinder geometry.