Journal of the Ramanujan Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

An Approach to Nonsolvable Base Change and Descent


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

   Subscribe/Renew Journal


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.
User
Subscription Login to verify subscription
Notifications
Font Size

Abstract Views: 168

PDF Views: 0




  • An Approach to Nonsolvable Base Change and Descent

Abstract Views: 168  |  PDF Views: 0

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.