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arXiv · 2506.23938

The residual monodromy for the Dwork family in even characteristic and its applications to Galois representations

Takuya Yamauchi
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Abstract

We study the residual monodromy representations associated to the Dwork family in characteristic two. Various applications involving 2-adic and mod 2 Galois representations are discussed. Combining the author's previous work with Tsuzuki and recent results of Boxer, Calegari, Gee, and Pilloni, we also prove the automorphy of certain rank 4 symplectic motives over a totally real field, arising from the Dwork quintic family, under suitable conditions.

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Takuya Yamauchi. 2025-06-30. The residual monodromy for the Dwork family in even characteristic and its applications to Galois representations. https://arxiv.org/abs/2506.23938

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