Class field theory, its three main generalisations, and applications (Q1983977)
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scientific article; zbMATH DE number 7394434
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Class field theory, its three main generalisations, and applications |
scientific article; zbMATH DE number 7394434 |
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Class field theory, its three main generalisations, and applications (English)
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13 September 2021
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In this paper, the author presents branches of class field theory. He gives us special and general approaches to class field theory, and discusses their roles. In particular, the three main generalisations of class field theory: Higher-class field theory, Langlands correspondences and anabelian geometry, and their further developments are discussed. He suggests several directions of unification of the generalisations of class field theory.
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class field theory
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general class field theory
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special class field theory
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higher class field theory
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Langlands correspondences
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anabelian geometry
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elliptic curves over global fields
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zeta integrals
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higher adelic geometry and analysis
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IUT theory
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