Class field theory, its three main generalisations, and applications

DOI10.4171/EMSS/45zbMath1482.11152MaRDI QIDQ1983977

I. B. Fesenko

Publication date: 13 September 2021

Published in: EMS Surveys in Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

Langlands correspondencesclass field theoryzeta integralsanabelian geometryelliptic curves over global fieldshigher class field theorygeneral class field theoryhigher adelic geometry and analysisIUT theoryspecial class field theory

Mathematics Subject Classification ID

Class field theory (11R37) Langlands-Weil conjectures, nonabelian class field theory (11S37) Generalized class field theory ((K)-theoretic aspects) (19F05) History of field theory (12-03)

Related Items

Anabelian group-theoretic properties of the absolute Galois groups of discrete valuation fields

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