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Period Integrals of Automorphic Forms and Local Distinction

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Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2221))

Abstract

Let F be a non-archimedean local field, \( \underline {G}\) a connected reductive group defined over F and \(G= \underline {G}(F)\).

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Authors and Affiliations

  1. Department of Mathematics, Brandeis University, Waltham, MA, USA

    Omer Offen

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  1. Omer Offen
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Correspondence to Omer Offen .

Editor information

Editors and Affiliations

  1. Aix-Marseille Université CNRS, Centrale Marseille, I2M, UMR 7373, Marseille, France

    Volker Heiermann

  2. School of Mathematics, Tata Institute of Fundamental Research, Mumbai, India

    Dipendra Prasad

Additional information

Disclaimer: These notes are based on a mini-course I gave in the research school “Introduction to Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms”, May 2016 in Luminy. It is meant to introduce the reader new to the subject, with some aspects of the theory of period integrals of automorphic forms. As there is much interplay between the local and global aspects of the theory, both are addressed here. However, these notes are by no means comprehensive. In particular, they do not touch upon the archimedean part of the theory.

Some parts are written in an informal way. While the author takes full responsibility for possible inaccuracies, readers are encouraged to use these notes at their own risk.

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Offen, O. (2018). Period Integrals of Automorphic Forms and Local Distinction. In: Heiermann, V., Prasad, D. (eds) Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms. Lecture Notes in Mathematics, vol 2221. Springer, Cham. https://doi.org/10.1007/978-3-319-95231-4_3

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