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Geometric Aspects of the Trace Formula

  • Conference proceedings
  • © 2018

Overview

Editors:
  1. Werner Müller

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

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  2. Sug Woo Shin

    1. Department of Mathematics, University of California, Berkeley, Berkeley, USA

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    You can also search for this editor in PubMed   Google Scholar

  3. Nicolas Templier

    1. Department of Mathematics, Cornell University, Ithaca, USA

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  • The second of three volumes devoted to the study of the trace formula
  • Focuses on automorphic representations of higher rank groups
  • Synthesizes current knowledge and future directions concerning the trace formula
  • Includes research articles containing original results

Part of the book series: Simons Symposia (SISY)

Included in the following conference series:

Conference proceedings info: SSTF 2016.

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Table of contents (13 papers)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Functoriality and the Trace Formula

    • James Arthur
    Pages 1-21

  3. Graded Hecke Algebras for Disconnected Reductive Groups

    • Anne-Marie Aubert, Ahmed Moussaoui, Maarten Solleveld
    Pages 23-84

  4. Sur une variante des troncatures d’Arthur

    • Pierre-Henri Chaudouard
    Pages 85-120

  5. Twisted Endoscopy from a Sheaf-Theoretic Perspective

    • Aaron Christie, Paul Mezo
    Pages 121-161

  6. The Subregular Unipotent Contribution to the Geometric Side of the Arthur Trace Formula for the Split Exceptional Group G 2

    • Tobias Finis, Werner Hoffmann, Satoshi Wakatsuki
    Pages 163-182

  7. The Shimura–Waldspurger Correspondence for Mp(2n)

    • Wee Teck Gan, Wen-Wei Li
    Pages 183-210

  8. Fourier Coefficients and Cuspidal Spectrum for Symplectic Groups

    • Dihua Jiang, Baiying Liu
    Pages 211-244

  9. Symmetry Breaking for Orthogonal Groups and a Conjecture by B. Gross and D. Prasad

    • Toshiyuki Kobayashi, Birgit Speh
    Pages 245-266

  10. Conjectures About Certain Parabolic Kazhdan–Lusztig Polynomials

    • Erez Lapid
    Pages 267-297

  11. Sur les paquets d’Arthur aux places réelles, translation

    • Colette Moeglin, David Renard
    Pages 299-320

  12. Inverse Satake Transforms

    • Yiannis Sakellaridis
    Pages 321-349

  13. On Generalized Fourier Transforms for Standard L-Functions

    • Freydoon Shahidi
    Pages 351-404

  14. On Unitarizability in the Case of Classical p-Adic Groups

    • Marko Tadić
    Pages 405-453
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Keywords

About this book

The second of three volumes devoted to the study of the trace formula, these proceedings focus on automorphic representations of higher rank groups. Based on research presented at the 2016 Simons Symposium on Geometric Aspects of the Trace Formula that took place in Schloss Elmau, Germany, the volume contains both original research articles and articles that synthesize current knowledge and future directions in the field. The articles discuss topics such as the classification problem of representations of reductive groups, the structure of Langlands and Arthur packets, interactions with geometric representation theory, and conjectures on the global automorphic spectrum.

Suitable for both graduate students and researchers, this volume presents the latest research in the field. Readers of the first volume Families of Automorphic Forms and the Trace Formula will find this a natural continuation of the study of the trace formula.

Editors and Affiliations

  • Mathematical Institute, University of Bonn, Bonn, Germany

    Werner Müller

  • Department of Mathematics, University of California, Berkeley, Berkeley, USA

    Sug Woo Shin

  • Department of Mathematics, Cornell University, Ithaca, USA

    Nicolas Templier

About the editors

Werner Müller is Professor at the Mathematical Institute of the University of Bonn. He is the author of over fifty publications, including articles in Inventiones Mathematicae, Geometric and Functional Analysis, and Communications in Mathematical Physics. His research interests include geometric analysis, scattering theory, analytic theory of automorphic forms, and harmonic analysis on locally symmetric spaces.


Sug Woo Shin is Associate Professor of Mathematics at the University of California at Berkeley. His research is centered on number theory, Shimura varieties, Langlands functoriality, trace formula, and automorphic forms. His work has appeared in many journals, including Inventiones Mathematicae, Mathematische Annalen, and the Israel Journal of Mathematics.


Nicolas Templier is Associate Professor of Mathematics at Cornell University. His work focuses on number theory, automorphic forms, arithmetic geometry, and mathematical physics. His list of publications include articles in Inventiones Mathematicae, Selecta Mathematica, and the Israel Journal of Mathematics.

Bibliographic Information

  • Book Title: Geometric Aspects of the Trace Formula

  • Editors: Werner Müller, Sug Woo Shin, Nicolas Templier

  • Series Title: Simons Symposia

  • DOI: https://doi.org/10.1007/978-3-319-94833-1

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2018

  • Hardcover ISBN: 978-3-319-94832-4Published: 12 October 2018

  • Softcover ISBN: 978-3-030-06922-3Published: 30 January 2019

  • eBook ISBN: 978-3-319-94833-1Published: 11 October 2018

  • Series ISSN: 2365-9564

  • Series E-ISSN: 2365-9572

  • Edition Number: 1

  • Number of Pages: XIV, 453

  • Number of Illustrations: 11 b/w illustrations

  • Topics: Number Theory, Group Theory and Generalizations

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