Serge Richard: New representation formulas for the wave operators in potential scattering on R³

During this talk, we will derive new and explicit formulas for the wave operators of Schroedinger operators in R³. These formulas put into light the very special role played by the generator of dilations and validate the topological approach of Levinson's theorem recently introduced. We will also emphasize that these results hold for general (not spherically symmetric) potentials decaying fast enough at infinity, without any assumption on the absence of eigenvalue or resonance at 0-energy."