Abstract: This will be a series of two talks. In the first talk (April 1), I'll introduce the massless unitary irreducible representations of
the Poincare group, SO(3,1) |x T^4, and their extensions to the conformal group SO(4,2). I'll then make some remarks about some special properties of the latter and I'll provide three distinct realizations of these representations. In the second talk (April 8), I'll focus on the massless representations as quantum mechanical systems through their realization via the Weyl algebra W_4. In this setting, I'll then develop the interactions of massless QED. The main point of these talks is the development of a theory of elementary particle interactions without reference to fields or an underlying spacetime.