On the structure of locally potentially equivalent Galois representations

• Published in: Journal of number theory Vol. 221; pp. 190 - 210
• Main Authors: Patankar, Vijay M., Rajan, C.S.
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.04.2021
• Subjects: Algebraic Chebotarev density theorem; Galois representations; Potential equivalence; secondary; Galois representations; Potential equivalence; Algebraic Chebotarev density theorem; primary

Suppose ρ1,ρ2 are two ℓ-adic Galois representations of the absolute Galois group of a number field, such that the algebraic monodromy group of one of the representations is connected and the representations are locally potentially equivalent at a set of places of positive upper density. We classify...