The Trace Formula and the Proof of the Global Jacquet-Langlands Correspondence

2019/04/21 by Alexandru Ioan Badulescu, Badulescu, Alexandru Ioan
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1904.09517

openalex publication_date 2019/04/21 · openalex created_date 2022/07/29 · openalex updated_date 2026/07/28

Abstract

This is a survey of the proof of the global Jacquet-Langlands correspondence between GL_n and general inner forms, in characteristic zero. The proof is given after a long introduction recalling in some detail the objects and results involved. The paper is based on the notes of the lectures I gave at the doctoral school in CIRM 2016 (Jean-Morlet Chair) organized by Dipendra Prasad, Volker Heiermann and Fiona Murnaghan. It appeared in 2018 in the volume Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms (LNM 2221).

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