"Automorphic Forms on Arithmetic Covering Groups" Abstract: We'll discuss on-going attempts to describe the Fourier-Whittaker coefficients of Eisenstein series on central extensions of split, reductive algebraic groups. While the motivation comes from automorphic forms, the objects and methods are from combinatorial representation theory. No prior knowledge of these objects will be assumed. We'll finish with some wishful thinking about possible applications to automorphic forms.