$\lambda$-invariant stability in families of modular Galois representations

Jeffrey Hatley; Debanjana Kundu

$\lambda$-invariant stability in families of modular Galois representations

Number Theory 2023-06-30 v2

Authors: Jeffrey Hatley , Debanjana Kundu

Abstract

Consider a family of modular forms of weight 2, all of whose residual $\pmod{p}$ Galois representations are isomorphic. It is well-known that their corresponding Iwasawa $\lambda$ -invariants may vary. In this paper, we study this variation from a quantitative perspective, providing lower bounds on the frequency with which these $\lambda$ -invariants grow or remain stable.

Keywords

iwasawa lambda-invariant modular forms galois representations quantitative stability mod p residual representation

Cite

@article{arxiv.2207.02280,
  title  = {$\lambda$-invariant stability in families of modular Galois representations},
  author = {Jeffrey Hatley and Debanjana Kundu},
  journal= {arXiv preprint arXiv:2207.02280},
  year   = {2023}
}

Comments

final version; to appear in Research in the Mathematical Sciences

$\lambda$-invariant stability in families of modular Galois representations

Abstract

Keywords

Cite

Comments

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