L’isomorphisme entre les tours de Lubin-Tate et de Drinfeld = The isomorphism between the Lubin-Tate and Drinfeld towers
- Author
- Laurent Fargues, Alain Genestier, Vincent Lafforgue
- Publication Year
- 2008
- Publisher
- Springer
- Language
- French
- Document Type
- Book
- Faculty / Subject Heading
- Mathematics and Statistics
- Download Book Read book
This book contains a detailed and complete demonstration of the existence of an equivariate isomorphism between the Lubin-Tate and Drinfeld p-adic turns. The result is established in equal and unequal characteristics. There is also given as an application a proof that the equivariant cohomologies of these two turns are isomorphic, a result which has applications to the study of the local Langlands correspondence. During the proof, reminders and complements are given on the structure of the two preceding moduli spaces, the p-divisible formal groups and the p-adic rigid analytical geometry.
Keywords: Mathematics and Statistics / Drinfield theory / Lubin-Tate theory / Cohomology / Isomorphism / Projectice limit / Dronfield theory / Projective limit / Algebraic Geometry / Number Theory
