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arXiv · 1701.01766

An approach to nonsolvable base change and descent

Jayce R. Getz
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Abstract

We present a collection of conjectural trace identities and explain why they are equivalent to base change and descent of automorphic representations of $\mathrm{GL}_n(\mathbb{A}_F)$ along nonsolvable extensions (under some simplifying hypotheses). The case $n=2$ is treated in more detail and applications towards the Artin conjecture for icosahedral Galois representations are given.

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Jayce R. Getz. 2017-01-06. An approach to nonsolvable base change and descent. https://arxiv.org/abs/1701.01766

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