Moduli of Galois representations
type: Item
instance of: scholarly article
title: Moduli of Galois representations
zbMATH Open document ID: 1430.11085
DOI: 10.4171/PRIMS/53-4-1
author: Yuichiro Taguchi
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 2017-11-23T00:00:00Z
review text: Summary: We develop a theory of moduli of Galois representations. More generally, for an object in a rather general class \(\mathfrak{A}\) of noncommutative topological rings, we construct a moduli space of its absolutely irreducible representations of a fixed degree as a (so we call) ``f-\(\mathfrak{A}\) scheme''. Various problems on Galois representations can be reformulated in terms of such moduli schemes. As an application, we show that the ``difference'' between the strong and weak versions of the finiteness conjecture of Fontaine-Mazur is filled in by the finiteness conjecture of Khare-Moon.
Mathematics Subject Classification ID: 11F80
Mathematics Subject Classification ID: 16G99
zbMATH DE Number: 6811631
zbMATH Keywords: moduli
zbMATH Keywords: Galois representation
zbMATH Keywords: f-profinite ring
zbMATH Keywords: Fontaine-Mazur conjecture
zbMATH Keywords: Khare-Moon conjecture
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/prims/53-4-1
OpenAlex ID: W2766906788
description: scientific article; zbMATH DE number 6811631