Journal of the Ramanujan Mathematical Society

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An Approach to Nonsolvable Base Change and Descent


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1 Department of Mathematics and Statistics, McGill University, Montreal, QC, H3A 2K6, Canada
     

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We present a collection of conjectural trace identities and explain why they are equivalent to base change and descent of automorphic representations of GLn(AF ) 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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  • An Approach to Nonsolvable Base Change and Descent

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Authors

Jayce R. Getz
Department of Mathematics and Statistics, McGill University, Montreal, QC, H3A 2K6, Canada

Abstract


We present a collection of conjectural trace identities and explain why they are equivalent to base change and descent of automorphic representations of GLn(AF ) 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.