The geometry and cohomology of some simple shimura varieties (AM-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. T...

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Detalles Bibliográficos
Autores principales: Harris, Michael, Taylor, Richard
Lenguaje:eng
Publicado: Princeton University Press 2001
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/1985608
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author Harris, Michael
Taylor, Richard
author_facet Harris, Michael
Taylor, Richard
author_sort Harris, Michael
collection CERN
description 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 correspond
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2001
publisher Princeton University Press
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spelling cern-19856082021-04-21T20:37:16Zhttp://cds.cern.ch/record/1985608engHarris, MichaelTaylor, RichardThe geometry and cohomology of some simple shimura varieties (AM-151)Mathematical Physics and Mathematics 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 correspondPrinceton University Pressoai:cds.cern.ch:19856082001
spellingShingle Mathematical Physics and Mathematics
Harris, Michael
Taylor, Richard
The geometry and cohomology of some simple shimura varieties (AM-151)
title The geometry and cohomology of some simple shimura varieties (AM-151)
title_full The geometry and cohomology of some simple shimura varieties (AM-151)
title_fullStr The geometry and cohomology of some simple shimura varieties (AM-151)
title_full_unstemmed The geometry and cohomology of some simple shimura varieties (AM-151)
title_short The geometry and cohomology of some simple shimura varieties (AM-151)
title_sort geometry and cohomology of some simple shimura varieties (am-151)
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/1985608
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