Stable lattices in modular Galois representations and Hida deformation

Dong Yan

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arXiv · 1801.06961

Stable lattices in modular Galois representations and Hida deformation

Dong Yan

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Abstract

In this paper, we discuss the variation of the numbers of the isomorphic classes of stable lattices when the weight and the level varies in a Hida deformation by using the Kubota-Leopoldt $p$-adic $L$-function. As a corollary, we give a sufficient condition for the numbers of the isomorphic classes of stable lattices in Hida deformation to be infinite.

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Dong Yan. 2018-08-09. Stable lattices in modular Galois representations and Hida deformation. https://arxiv.org/abs/1801.06961

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