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. 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 the existence of a correspondence, with certain formal properties, relating n-dimensio…
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Produktdetails
- ISBN: 978-1-4008-3720-5
- EAN: 9781400837205
- Produktnummer: 19574353
- Verlag: Princeton University Press
- Sprache: Englisch
- Erscheinungsjahr: 2001
- Seitenangabe: 288 S.
- Plattform: PDF
- Masse: 0 KB
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Michael Harris & Richard Taylor
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