A nonabelian trace formula

Journal Article (Journal Article)

Let E/F be an everywhere unramified extension of number fields with Gal(E/F) simple and nonabelian. In a recent paper, the first named author suggested an approach to nonsolvable base change and descent of automorphic representations of GL2 along such an extension. Motivated by this, we prove a trace formula whose spectral side is a weighted sum over cuspidal automorphic representations of GL2 (AE) that are isomorphic to their Gal(E/F)-conjugates. The basic method, which is of interest in itself, is to use functions in a space isolated by Finis, Lapid, and Müller to build more variables into the trace formula.

Full Text

Duke Authors

Cited Authors

  • Getz, JR; Herman, PE

Published Date

  • December 1, 2015

Published In

Volume / Issue

  • 2 / 1

Electronic International Standard Serial Number (EISSN)

  • 2197-9847

International Standard Serial Number (ISSN)

  • 2522-0144

Digital Object Identifier (DOI)

  • 10.1186/s40687-015-0025-x

Citation Source

  • Scopus