On the geometric Langlands conjecture for symplectic and odd orthogonal groups
نویسنده
چکیده
This is an attempt to formulate a geometric Langlands conjecture for G = GSpin2n+1 and GSp2n, n ≥ 1. Namely, let Ǧ be the Langlands dual group (over Q̄l), let X be a smooth projective connected curve. Given a Ǧ-local system E on X , assuming some irreducibility type conditions on VE for some representations V of Ǧ, we propose a conjectural construction of a distinguished E-Hecke automorphic sheaf on the moduli stack BunG of Gbundles on X . We were motivated by a construction of the corresponding automorphic forms suggested by D. Ginzburg, S. Rallis and D. Soudry in [4, 5].
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