Chandrakant S. Aribam

activity

20162026

collaborators

5 papers

math.NT2026

Variation of Iwasawa Invariants for Ordinary Representations

Abhishek, Chandrakant Aribam, Shiva Barman +1

Let $K$ be a number field and $p$ be an odd prime. Greenberg introduced a natural topology on the space of all $Z_{p}$ -extensions of $K$ and established several boundedness…

math.NT2023

Bipartite Euler Systems for certain Galois Representations

Chandrakant Aribam, Pronay Kumar Karmakar

Let $E / Q$ be an elliptic curve with ordinary reduction at a prime $p$ , and let $K$ be an imaginary quadratic field. The anticyclotomic Iwasawa main conjecture, depending u…

math.NT2019

Galois Cohomology for Lubin-Tate $(φ_{q}, Γ_{L T})$ -modules over Coefficient rings

Chandrakant Aribam, Neha Kwatra

The classification of the local Galois representations using $(φ, Γ)$ -modules by Fontaine has been generalized by Kisin and Ren over the Lubin-Tate extensions of local fields using…

math.NT2016

Root numbers and parity of local Iwasawa invariants

Suman Ahmed, Chandrakant Aribam, Sudhanshu Shekhar

Given two elliptic curves $E_{1}$ and $E_{2}$ defined over the field of rational numbers, $Q$ , with good reduction at an odd prime $p$ and equivalent mod $p$ Galois representa…

math.NT2016

Noncommutative Iwasawa theory arising from Hecke algebras

Chandrakant Aribam

Let $p$ be an odd prime and $f$ be a nearly ordinary Hilbert modular Hecke eigenform defined over a totally real field $F$ . Let $I$ be an irreducible component of the univ…