Uniformisation des variétés de Laumon-Rapoport-Stuhler et application à la correspondance de Langlands locale

Abstract : This thesis is made up of two parts, which are more or less independent. Parts I deals with uniformisation ``à la Cerednik'' of the so-called ``Laumon, Rapoport and Stuhler varieties''. In part II, the results obtained are applied to the local Langlands correspondence in order to prove Drinfeld-Carayol's conjecture. Finally, an appendix is dedicated to the theory of l-adic cohomology for Berkovich's analytic spaces.
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  • HAL Id : tel-01408445, version 1

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Thomas Hausberger. Uniformisation des variétés de Laumon-Rapoport-Stuhler et application à la correspondance de Langlands locale. Théorie des nombres [math.NT]. Université Louis Pasteur Strasbourg I, 2001. Français. ⟨tel-01408445⟩

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