Oliver Butterley (University of Rome II) Title: Locating Ruelle-Pollicott resonances Abstract: Our aim is to obtain precise information on the discrete spectrum of transfer operators associated to various dynamical systems. I'll discuss the general principle that has come to light in recent years and which often allows us to obtain substantial spectral information. I'll then describe several settings where this approach applies, including affine expanding Markov maps, monotone maps, hyperbolic diffeomorphisms. (Joint work with: Niloofar Kiamari & Carlangelo Liverani.)