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On non-abelian Lubin-Tate theory via vanishing cycles | Teruyoshi Yoshida
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21 Apr 2004 | Subject: | Number Theory; Algebraic Geometry MSC-class: 11S37; 11G18, 22E50 | math.NT math.AG | Abstract: | We give a purely local proof, in the depth 0 case, of the result by Harris-Taylor which asserts that the local Langlands correspondence for GL_n over a p-adic field K realizes itself inside the vanishing cycle cohomology of the deformation space of formal O_K-modules of height n. Our proof is given by establishing the direct geometric link with the Deligne-Lusztig theory for GL_n over the residue field. | Source: | arXiv, math.NT/0404375 | Services: | Forum | Review | PDF | Favorites |
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