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arXiv · 2207.02280

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

Jeffrey Hatley·Debanjana Kundu
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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.

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Jeffrey Hatley, Debanjana Kundu. 2022-07-05. $\lambda$-invariant stability in families of modular Galois representations. https://arxiv.org/abs/2207.02280

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