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Euler systems

One of the most exciting new subjects in Algebraic Number Theory and Arithmetic Algebraic Geometry is the theory of Euler systems. Euler systems are special collections of cohomology classes attached to p-adic Galois representations. Introduced by Victor Kolyvagin in the late 1980s in order to bound...

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Autor principal: Rubin, Karl
Lenguaje:eng
Publicado: Princeton University Press 2014
Materias:
Acceso en línea:http://cds.cern.ch/record/1953261
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author Rubin, Karl
author_facet Rubin, Karl
author_sort Rubin, Karl
collection CERN
description One of the most exciting new subjects in Algebraic Number Theory and Arithmetic Algebraic Geometry is the theory of Euler systems. Euler systems are special collections of cohomology classes attached to p-adic Galois representations. Introduced by Victor Kolyvagin in the late 1980s in order to bound Selmer groups attached to p-adic representations, Euler systems have since been used to solve several key problems. These include certain cases of the Birch and Swinnerton-Dyer Conjecture and the Main Conjecture of Iwasawa Theory. Because Selmer groups play a central role in Arithmetic Algebraic G
id cern-1953261
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2014
publisher Princeton University Press
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spelling cern-19532612021-04-21T20:51:56Zhttp://cds.cern.ch/record/1953261engRubin, KarlEuler systemsMathematical Physics and MathematicsOne of the most exciting new subjects in Algebraic Number Theory and Arithmetic Algebraic Geometry is the theory of Euler systems. Euler systems are special collections of cohomology classes attached to p-adic Galois representations. Introduced by Victor Kolyvagin in the late 1980s in order to bound Selmer groups attached to p-adic representations, Euler systems have since been used to solve several key problems. These include certain cases of the Birch and Swinnerton-Dyer Conjecture and the Main Conjecture of Iwasawa Theory. Because Selmer groups play a central role in Arithmetic Algebraic GPrinceton University Pressoai:cds.cern.ch:19532612014
spellingShingle Mathematical Physics and Mathematics
Rubin, Karl
Euler systems
title Euler systems
title_full Euler systems
title_fullStr Euler systems
title_full_unstemmed Euler systems
title_short Euler systems
title_sort euler systems
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/1953261
work_keys_str_mv AT rubinkarl eulersystems