The GW method for computing electronic excited states of molecules and solids

The GW method is the state-of-the-art approach for computing electronic excitation energies in molecules and solids. It is in particular the most accurate method for computing band gaps in semiconductors and insulators. In this talk, I will present the mathematical formulation of the GW method and discuss its performance with respect to its main competitor, namely time-dependent density functional theory. This is a joint work with David Gontier and Gabriel Stoltz.