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The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151), Volume 151
This book aims first to prove the local Langlands conjecture for GLn over a p-adic field and, second, to identify the action of the decomposition group at a prime of bad reduction on the l-adic cohomology of the ""simple"" Shimura varieties. These two problems go hand in hand. Th...
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| Format: | Electronic eBook |
| Language: | Inglés |
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Princeton :
Princeton University Press,
2001.
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| Series: | Book collections on Project MUSE.
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| Online Access: | Texto completo |
| Summary: | This book aims first to prove the local Langlands conjecture for GLn over a p-adic field and, second, to identify the action of the decomposition group at a prime of bad reduction on the l-adic cohomology of the ""simple"" Shimura varieties. These two problems go hand in hand. The results represent a major advance in algebraic number theory, finally proving the conjecture first proposed in Langlands's 1969 Washington lecture as a non-abelian generalization of local class field theory. The local Langlands conjecture for GLn(K), where K is a p-adic field, asserts. |
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| Physical Description: | 1 online resource. |
| ISBN: | 9781400837205 |