A nonabelian trace formula

2013/12/12 by Jayce R. Getz, Getz, Jayce R., P. Edward Herman +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT) #Primary 11F70 #Secondary 11F66

paper · pdf · doi:10.48550/arxiv.1312.3611

openalex publication_date 2013/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let E/F be an extension of number fields with Gal(E/F) simple and nonabelian. In [G] 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(\mathbbA_E) that are isomorphic to their Gal(E/F)-conjugates.

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