On the Modularity of Wildly Ramified Galois Representations

Edray Herber Goins

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On the Modularity of Wildly Ramified Galois Representations

Edray Herber Goins

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Abstract

We show that an infinite family of odd complex 2-dimensional Galois representations ramified at 5 having nonsolvable projective image are modular, thereby verifying Artin's conjecture for a new case of examples. Such a family contains the original example studied by Buhler. In the process, we prove that an infinite family of residually modular Galois representations are modular by studying $Λ$-adic Hecke algebras.

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Edray Herber Goins. 2004-11-09. On the Modularity of Wildly Ramified Galois Representations. https://arxiv.org/abs/math/0411214

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