ARithmetische Geometrie OberSeminar
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چکیده
Conjecture 1. Let F be a number field, let p be some prime number, and fix an isomorphism ι : C ∼= Qp. Then there is a bijection between the set of algebraic cuspidal automorphic representations of GLn(AF ), and the set of isomorphism classes of irreducible continuous representations of the absolute Galois group of F on n-dimensional Qp-vector spaces which are almost everywhere unramified, and de Rham at places above p. Under this bijection, eigenvalues of Hecke operators agree with traces of Frobenius elements.
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