Math @ Duke

Publications [#320412] of Jayce R. Getz
Papers Published
 Getz, JR; Herman, PE, A nonabelian trace formula,
Research in Mathematical Sciences, vol. 2 no. 1
(December, 2015), Springer Nature [doi]
(last updated on 2019/07/24)
Abstract: © 2015 Getz and Herman. 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 GL 2 along such an extension. Motivated by this, we prove a trace formula whose spectral side is a weighted sum over cuspidal automorphic representations of GL 2 (A E ) 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.


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