Abstract
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 \(\overline{\omega} \).of \(\overline{\omega}\) of \((\widehat{G})^n/Z(\widehat{G}) \) Our spaces generalize moduli spaces of F-sheaves, studied by Drinfeld and Lafforgue, which correspond to the case G = GL r and \(\overline{\omega} \) 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 is realized in their cohomology.
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Varshavsky, Y. Moduli spaces of principal F-bundles . Sel. math., New ser. 10, 131 (2004). https://doi.org/10.1007/s00029-004-0343-0
DOI: https://doi.org/10.1007/s00029-004-0343-0