Even Galois representations and the cohomology of GL(2,Z)

Avner Ash; Darrin Doud

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arXiv · 1702.07417

Even Galois representations and the cohomology of GL(2,Z)

Avner Ash·Darrin Doud

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Abstract

Let $\rho$ be a two-dimensional even Galois representation which is induced from a character $\chi$ of odd order of the absolute Galois group of a real quadratic field. After imposing some additional conditions on $\chi$, we attach $\rho$ to a Hecke eigenclass in the cohomology of ${\rm GL}(2,\mathbb Z)$ with coefficients in a certain infinite-dimensional vector space over a field of characteristic not equal to 2.

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Avner Ash, Darrin Doud. 2017-02-23. Even Galois representations and the cohomology of GL(2,Z). https://arxiv.org/abs/1702.07417

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