A continuous homomorphism ρ : Gal(\bar K/K) → GL_n(R) for a topological ring R (ℓ-adic, mod-p, etc.). Attaches linear data to arithmetic Galois groups; central to modularity and Langlands.
A continuous homomorphism ρ : Gal(\bar K/K) → GL_n(R) for a topological ring R (ℓ-adic, mod-p, etc.). Attaches linear data to arithmetic Galois groups; central to modularity and Langlands.