An approach to nonsolvable base change and descent

Jayce R. Getz

An approach to nonsolvable base change and descent

Number Theory 2017-01-10 v1

Authors: Jayce R. Getz

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.

Keywords

base change descent automorphic representations nonsolvable extensions trace identities Artin conjecture icosahedral Galois representations

Cite

@article{arxiv.1701.01766,
  title  = {An approach to nonsolvable base change and descent},
  author = {Jayce R. Getz},
  journal= {arXiv preprint arXiv:1701.01766},
  year   = {2017}
}

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This is an old paper uploaded for arXival purposes

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