On the Motive of the Stack of Bundles

Let G be a split connected semisimple group over a field. We give a conjectural formula for the motive of the stack of G-bundles over a curve C, in terms of special values of the motivic zeta function of C. The formula is true if C = P or G = SLn. If k = C, upon applying the Poincaré or Serre characteristic, the formula reduces to results of Teleman and… (More)