A nonabelian trace formula
Publication
, Journal Article
Getz, JR; Herman, PE
Published in: Research in Mathematical Sciences
December 1, 2015
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.
Duke Scholars
Published In
Research in Mathematical Sciences
DOI
EISSN
2197-9847
ISSN
2522-0144
Publication Date
December 1, 2015
Volume
2
Issue
1
Citation
APA
Chicago
ICMJE
MLA
NLM
Getz, J. R., & Herman, P. E. (2015). A nonabelian trace formula. Research in Mathematical Sciences, 2(1). https://doi.org/10.1186/s40687-015-0025-x
Getz, J. R., and P. E. Herman. “A nonabelian trace formula.” Research in Mathematical Sciences 2, no. 1 (December 1, 2015). https://doi.org/10.1186/s40687-015-0025-x.
Getz JR, Herman PE. A nonabelian trace formula. Research in Mathematical Sciences. 2015 Dec 1;2(1).
Getz, J. R., and P. E. Herman. “A nonabelian trace formula.” Research in Mathematical Sciences, vol. 2, no. 1, Dec. 2015. Scopus, doi:10.1186/s40687-015-0025-x.
Getz JR, Herman PE. A nonabelian trace formula. Research in Mathematical Sciences. 2015 Dec 1;2(1).
Published In
Research in Mathematical Sciences
DOI
EISSN
2197-9847
ISSN
2522-0144
Publication Date
December 1, 2015
Volume
2
Issue
1