Moduli Spaces of Principal F -bundles
نویسنده
چکیده
In this paper we construct certain moduli spaces, which we call moduli spaces of (principal) F -bundles, and study their basic properties. These spaces are associated to triples consisting of a smooth projective geometrically connected curve over a finite field, a split reductive group G, and an irreducible algebraic representation ω of (Ǧ)n/Z(Ǧ). Our spaces generalize moduli spaces of F -sheaves, studied by Drinfeld and Lafforgue, which correspond to the case G = GLr and ω is the tensor product of the standard representation and its dual. The importance of the moduli spaces of F -bundles is due to the belief that Langlands correspondence should be realized in their cohomology.
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