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Simons Symposia

Geometric Aspects of the Trace Formula

Editors: Müller, Werner, Shin, Sug Woo, Templier, Nicolas (Eds.)

  • 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
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eBook $129.00
price for USA in USD (gross)
  • ISBN 978-3-319-94833-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-319-94832-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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.

About the authors

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.

Table of contents (13 chapters)

  • Functoriality and the Trace Formula

    Arthur, James

    Pages 1-21

  • Graded Hecke Algebras for Disconnected Reductive Groups

    Aubert, Anne-Marie (et al.)

    Pages 23-84

  • Sur une variante des troncatures d’Arthur

    Chaudouard, Pierre-Henri

    Pages 85-120

  • Twisted Endoscopy from a Sheaf-Theoretic Perspective

    Christie, Aaron (et al.)

    Pages 121-161

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

    Finis, Tobias (et al.)

    Pages 163-182

Buy this book

eBook $129.00
price for USA in USD (gross)
  • ISBN 978-3-319-94833-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-319-94832-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Geometric Aspects of the Trace Formula
Editors
  • Werner Müller
  • Sug Woo Shin
  • Nicolas Templier
Series Title
Simons Symposia
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-94833-1
DOI
10.1007/978-3-319-94833-1
Hardcover ISBN
978-3-319-94832-4
Series ISSN
2365-9564
Edition Number
1
Number of Pages
XIV, 453
Number of Illustrations
11 b/w illustrations
Topics