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arXiv · 1909.04736

Galois families of modular forms and application to weight one

Sara Arias-de-Reyna·François Legrand·Gabor Wiese
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Abstract

We introduce Galois families of modular forms. They are a new kind of family coming from Galois representations of the absolute Galois groups of rational function fields over the rational field. We exhibit some examples and provide an infinite Galois family of non-liftable weight one Katz modular eigenforms over an algebraic closure of F_p for p in {3,5,7,11}.

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Sara Arias-de-Reyna, François Legrand, Gabor Wiese. 2021-07-10. Galois families of modular forms and application to weight one. https://doi.org/10.1007/s11856-021-2162-9

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