Plawan Das

activity

20202022

collaborators

4 papers

math.NT2022

A Base Change Version of Rasmussen-Tamagawa Conjecture

Plawan Das, Subham Sarkar

We prove a certain uniform version of the Shafarevich Conjecture. As a corollary, we prove the Rasmussen-Tamagawa Conjecture for a particular class of abelian varieties $A$ defined…

math.NT2021

A finiteness theorem for abelian varieties with totally bad reduction

Plawan Das, C. S. Rajan

We show that up to potential isogeny, there are only finitely many abelian varieties of dimension $d$ defined over a number field $K$ , such that for any finite place $v$ outside a…

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,…

A Base Change Version of Rasmussen-Tamagawa Conjecture

A finiteness theorem for abelian varieties with totally bad reduction

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