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Astérisque· 2018Q2

Families of Galois representations and Selmer groups

Joël Bellaïche, Gaëtan Chenevier

Short summary

This paper introduces a novel framework for studying families of Galois representations by constructing a new invariant, the 'Selmer group of a family', which captures arithmetic information about these representations.

AI-generated from the title and abstract; the full text is not read.

Key points

  • Introduces the 'Selmer group of a family' as a new invariant for families of Galois representations.
  • Builds upon the authors' prior theory of $(\phi, \Gamma)$-modules.
  • Aims to capture arithmetic information about families of Galois representations.

AI-generated from the title and abstract; the full text is not read.

Abstract

International audience

The authors' abstract, as published at the source. Astérisque, 2018 · DOI ↗

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Field: Algebra and Number Theory

Algebra and Number TheoryMathematics