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About L'isomorphisme entre les tours de Lubin-Tate et de Drinfeld
Ce livre contient une d?monstration d?taill?e et compl?te de l'existence d'un isomorphisme ?quivariant entre les tours p-adiques de Lubin-Tate et de Drinfeld. Le r?sultat est ?tabli en ?gales et in?gales caract?ristiques. Il y est ?galement donn? comme application une d?monstration du fait que les cohomologies ?quivariantes de ces deux tours sont isomorphes, un r?sultat qui a des applications ? l'?tude de la correspondance de Langlands locale. Au cours de la preuve des rappels et des compl?ments sont donn?s sur la structure des deux espaces de modules pr?c?dents, les groupes formels p-divisibles et la g?om?trie 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.
Detailed Information
| Author: | Laurent Fargues, Alain Genestier, Vincent Lafforgue |
|---|---|
| Publication Year: | 2007 |
| ISBN: | 9783764384562 |
| Pages: | 418 |
| Language: | English |
| File Size: | 3.813 |
| Format: | |
| Price: | FREE |
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