Izzet Coskun, The Geometry of Moduli Spaces of Sheaves on P²

In this talk, I will explain how to use Bridgeland stability conditions to compute the ample and effective cones of moduli spaces of sheaves on the projective plane. I will describe the birational geometry of these moduli spaces and give applications to the higher rank interpolation problem. This talk is based on joint work with Jack Huizenga, John Kopper and Matthew Woolf.