Geometric Eisenstein series: twisted setting
Sergey Lysenko
Université de Lorraine, Vandœuvre-lès-Nancy, France
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Abstract
Let be a simple simply-connected group over an algebraically closed field , and a smooth connected projective curve over . In this paper we develop the theory of geometric Eisenstein series on the moduli stack Bun of -torsors on in the setting of the quantum geometric Langlands program (for étale -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 = SL we derive some results about the Fourier coefficients of our Eisenstein series. For = SL and we also construct the corresponding theta-sheaves and prove their Hecke property.
Cite this article
Sergey Lysenko, Geometric Eisenstein series: twisted setting. J. Eur. Math. Soc. 19 (2017), no. 10, pp. 3179–3252
DOI 10.4171/JEMS/738