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.
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.

L'isomorphisme entre les tours de Lubin-Tate et de Drinfeld
406
L'isomorphisme entre les tours de Lubin-Tate et de Drinfeld
406Hardcover(2008)
Product Details
ISBN-13: | 9783764384555 |
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Publisher: | Birkhäuser Basel |
Publication date: | 12/17/2007 |
Series: | Progress in Mathematics , #262 |
Edition description: | 2008 |
Pages: | 406 |
Product dimensions: | 6.10(w) x 9.25(h) x 0.04(d) |
Language: | French |