Geometric Eisenstein series: twisted setting

Let G be a simple simply-connected group over an algebraically closed field k, and X a smooth connected projective curve over k. In this paper we develop the theory of geometric Eisenstein series on the moduli stack Bun(G) of G-torsors on X in the setting of the quantum geometric Langlands program (for etale (Q) over bar (l)-sheaves) in analogy with [3]. We calculate the intersection cohomology sheaf on the version of Drinfeld compactification in our twisted setting. In the case of G = SL2 we derive some results about the Fourier coefficients of our Eisenstein series. For G = SL2 and X = P-1 we also construct the corresponding theta-sheaves and prove their Hecke property.