Plawan Das

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20202022

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math.NT2020

Finiteness theorems for potentially equivalent Galois representations: extension of Faltings' finiteness criteria

Plawan Das, C. S. Rajan

We study the relationship between potential equivalence and character theory; we observe that potential equivalence of a representation $ρ$ is determined by an equality of an $m$ -p…

math.NT2020

A uniform bound for inertially equivalent, pure $ℓ$ -adic representations: an extension of Faltings' theorem

Plawan Das, C. S. Rajan

We introduce a notion of inertial equivalence for integral $ℓ$ -adic representation of the Galois group of a global field. We show that the collection of continuous, semisimple,…

Finiteness theorems for potentially equivalent Galois representations: extension of Faltings' finiteness criteria

A uniform bound for inertially equivalent, pure ℓ-adic representations: an extension of Faltings' theorem

A uniform bound for inertially equivalent, pure $ℓ$ -adic representations: an extension of Faltings' theorem