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Simons Symposium on the Trace Formula

SSTF 2016: Geometric Aspects of the Trace Formula pp 121–161Cite as

Twisted Endoscopy from a Sheaf-Theoretic Perspective

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Abstract

The standard theory of endoscopy for real groups has two parallel formulations. The original formulation of Langlands and Shelstad relies on methods in harmonic analysis. The subsequent formulation of Adams, Barbasch and Vogan relies on sheaf-theoretic methods. The original formulation was extended by Kottwitz and Shelstad to twisted endoscopy. We extend the sheaf-theoretic formulation to the context of twisted endoscopy and provide applications for computing Arthur packets.

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Notes

  1. 1.

    This suggests that perhaps the dual object to 𝜗 ought to be the Int(∨ G)-conjugacy class, and not a particular representative.

  2. 2.

    The superscript and subscript for are reversed in this reference.

  3. 3.

    The orbit S ψ here is not to be confused with the centralizer S ψ in [Art89] or [Art13].

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Acknowledgements

P. Mezo was supported in part by NSERC grant RGPIN 293148-2010.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Carleton University, Ottawa, ON, Canada

    Aaron Christie & Paul Mezo

Authors
  1. Aaron Christie
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  2. Paul Mezo
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Corresponding author

Correspondence to Paul Mezo .

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Editors and Affiliations

  1. Mathematical Institute, University of Bonn, Bonn, Germany

    Werner Müller

  2. Department of Mathematics, University of California, Berkeley, Berkeley, CA, USA

    Sug Woo Shin

  3. Department of Mathematics, Cornell University, Ithaca, NY, USA

    Nicolas Templier

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Christie, A., Mezo, P. (2018). Twisted Endoscopy from a Sheaf-Theoretic Perspective. In: Müller, W., Shin, S., Templier, N. (eds) Geometric Aspects of the Trace Formula. SSTF 2016. Simons Symposia. Springer, Cham. https://doi.org/10.1007/978-3-319-94833-1_4

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