The Burger-Sarnak Method and Operations on the Unitary Duals of Classical Groups

2020/02/27 by Hendrickson, Andrew
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2002.11935

openalex publication_date 2020/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Burger-Sarnak method shows that the restriction of an automorphic representation of a reductive group to a reductive subgroup has automorphic support. Clozel has conjectured a qualitative refinement of this result, which were first verified and quantified in the GL_n case by Venkatesh. We give a proof of this conjecture in the classical group cases.

Citations

• Comparaison des paramètres de Langlands et des exposants à l'intérieur d'un paquet d'Arthur

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