Ce livre contient une demonstration detaillee et complete de l'existence d'un isomorphisme equivariant entre les tours p-adiques de Lubin-Tate et de Drinfeld. Le resultat est etabli en egales et inegales caracteristiques. Il y est egalement donne comme application une demonstration du fait que les cohomologies equivariantes de ces deux tours sont isomorphes, un resultat qui a des applications a l'etude de la correspondance de Langlands locale. Au cours de la preuve des rappels et des complements sont donnes sur la structure des deux espaces de modules precedents, les groupes formels p-divisibles et la geometrie 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.
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Ce livre contient une demonstration detaillee et complete de l'existence d'un isomorphisme equivariant entre les tours p-adiques de Lubin-Tate et de Drinfeld. Le resultat est etabli en egales et inegales caracteristiques. Il y est egalement donne comme application une demonstration du fait que les cohomologies equivariantes de ces deux tours sont isomorphes, un resultat qui a des applications a l'etude de la correspondance de Langlands locale. Au cours de la preuve des rappels et des complements sont donnes sur la structure des deux espaces de modules precedents, les groupes formels p-divisibles et la geometrie 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.
Imprint | Birkhauser Verlag AG |
Country of origin | Switzerland |
Release date | December 2007 |
Availability | Expected to ship within 10 - 15 working days |
First published | December 2007 |
Authors | Laurent Fargues, Alain Genestier, Vincent Lafforgue |
Dimensions | 234 x 156 x 24mm (L x W x T) |
Format | Microfilm - Cloth over boards |
Pages | 428 |
Edition | 2008 ed. |
ISBN-13 | 978-3-7643-8455-5 |
Barcode | 9783764384555 |
Languages | value |
Categories | |
LSN | 3-7643-8455-7 |