On the non-abelian global class field theory (Q743712)
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scientific article; zbMATH DE number 6350057
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the non-abelian global class field theory |
scientific article; zbMATH DE number 6350057 |
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On the non-abelian global class field theory (English)
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30 September 2014
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The author discusses some possibility to construct a non-abelian class field theory of a global field \(K\), by considering some analogue to Chevalley's idèles. This is achieved by ``gluing'' together the class field theories of \(K_\nu\) in the sense of Koch, where \(\nu\) runs through the non-Archimedean primes of \(K\). Most of the results of this paper depend on Conjecture 3.2, and the final goals are also conjectured (7.7. and 8.5).
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Langlands program
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global reciprocity law
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Weil-Deligne representations
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