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Birkhauser L'isomorphisme entre les tours de Lubin-Tate et de Drinfeld: 262 (Progress in Mathematics, 262)

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Description

Ce livre contient une démonstration détaillée et complète de l'existence d'un isomorphisme équivariant entre les tours p-adiques de Lubin-Tate et de Drinfeld. Le résultat est établi en égales et inégales caractéristiques. Il y est également donné comme application une démonstration du fait que les cohomologies équivariantes de ces deux tours sont isomorphes, un résultat qui a des applications à l'étude de la correspondance de Langlands locale. Au cours de la preuve des rappels et des compléments sont donnés sur la structure des deux espaces de modules précédents, les groupes formels p-divisibles et la géométrie analytique rigide p-adique. This book gives a complete and thorough proof of the existence of an equivariant isomorphism between Lubin-Tate and Drinfeld towers in infinite level. The result is established in equal and inequal characteristics. Moreover, the book contains as an application the proof of the equality between the equivariant cohomology of both towers, a result that has applications to the local Langlands correspondence. Along the proof background and complements are given on the structure of both moduli spaces, p-divisible formal groups and p-adic rigid analytic geometry.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
17 December 2007
Listed Since
18 May 2007

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