arXiv 1002.41112010-02math.NTmath.RT

La correspondance de Langlands locale p-adique pour GL_2(Q_p)

Laurent Berger

备注：: Some small mistakes corrected, a reference added.

英文摘要：

La correspondance de Langlands locale p-adique pour GL_2(Q_p) est une bijection entre certaines representations de dimension 2 de Gal(Q_p^bar/Q_p) et certaines representations de GL_2(Q_p). Cette bijection peut en fait etre construite en utilisant la theorie des (phi,Gamma)-modules et des resultats d'analyse p-adique. On deduit alors des proprietes de cette construction quelques applications interessantes en arithmetique.

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