Title: Lusztig's map from conjugacy classes of the Weyl group to the unipotent classes
Abstract: For a connected reductive group over an algebraically closed field, Lusztig constructed a miraculous map from the conjugacy classes of the Weyl group to the unipotent conjugacy classes. We will discuss various interesting properties and applications of the map. Part of the talk is based on joint work with Jeffrey Adams and Xuhua He.