On Non-abelian Lubin-tate Theory via Vanishing Cycles

نویسنده

  • TERUYOSHI YOSHIDA
چکیده

We give a purely local proof, in the depth 0 case, of the result by HarrisTaylor which asserts that the local Langlands correspondence for GLn is realized in the vanishing cycle cohomology of the deformation spaces of one-dimensional formal modules of height n. Our proof is given by establishing the direct geometric link with the Deligne-Lusztig theory for GLn(Fq).

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تاریخ انتشار 2004