Moduli spaces of principal F-bundles

• Yakov Varshavsky ^[1]
  1. [1] Institute of Mathematics, Hebrew University, Israel
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 10, Nº. 1, 2004, págs. 131-166
• Idioma: inglés
• DOI: 10.1007/s00029-004-0343-0
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• Resumen

  • 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 ω¯¯¯ of (Gˆ)n/Z(Gˆ) Our spaces generalize moduli spaces of F-sheaves, studied by Drinfeld and Lafforgue, which correspond to the case G = GL r 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 is realized in their cohomology.