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arXiv · 1904.09517

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

Alexandru Ioan Badulescu
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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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Alexandru Ioan Badulescu. 2019-04-21. The Trace Formula and the Proof of the Global Jacquet-Langlands Correspondence. https://arxiv.org/abs/1904.09517

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