Kirti Joshi
Published 1999-01-20Version 1
In this note we prove the non existence of certain irreducible two dimensional representations of the the absolute Galois group. Such results are predicted by Serre's conjecture and we use Fontaine's methods to verify these predictions in a small number of cases. We also use a methods of Faltings to study certain finiteness conjectures for Galois representations. Key words: Serre's conjecture, Fontaine-Mazur conjectures, Galois representations.
Characteristic p Galois representations that are produced by Drinfeld
Comparison of semi-simplifications of Galois representations
On Serre's conjecture for mod l Galois representations over totally real fields
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