Moduli of Galois representations
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.
scientific article; zbMATH DE number 6811631