Takagi's class field theory
Teoría de cuerpos de clases de Takagi
- Date
- 1920 · confidence high
- Place
- Imperial University, Tokyo, Japan
- Credited to
- Takagi Teiji
- People
- 👤 Teiji Takagi1875–1960
- Field
- Knowledge & symbols
What was discovered
A proof that every abelian extension of a number field corresponds to a group of ideal classes, resolving a programme begun by Kronecker and Hilbert. It is one of the pillars of algebraic number theory.
He worked in isolation during the First World War; the result spread after the Strasbourg congress (1920).
What it led to
- Artin's reciprocity law (1927)
- the Langlands programme