Simons Symposia

Families of Automorphic Forms and the Trace Formula

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

  • Develops analytic, p-adic and geometric perspectives on families of automorphic forms in relation to the trace formula
  • Focuses on recent developments and conjectures at the frontier of current knowledge based on in-depth exchanges between symposium participants
  • Provides researchers in the field and aspiring students with an appraisal of the feasibility of a range of approaches to open problems, as well as the subject's key difficulties 
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eBook $149.00
price for USA (gross)
  • ISBN 978-3-319-41424-9
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  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
valid through November 5, 2017
  • ISBN 978-3-319-41422-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Featuring the work of twenty-three internationally-recognized experts, this volume explores the trace formula, spectra of locally symmetric spaces, p-adic families, and other recent techniques from harmonic analysis and representation theory. 
Each peer-reviewed submission in this volume, based on the Simons Foundation symposium on families of automorphic forms and the trace formula held in Puerto Rico in January-February 2014, is the product of intensive research collaboration by the participants over the course of the seven-day workshop. The goal of each session in the symposium was to bring together researchers with diverse specialties in order to identify key difficulties as well as fruitful approaches being explored in the field. The respective themes were counting cohomological forms, p-adic trace formulas, Hecke fields, slopes of modular forms, and orbital integrals.

About the authors

Werner Müller is Professor Emeritus 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, ergodic theory, and mathematical physics. His list of publications include articles in Inventiones Mathematicae, the Ramanujan Journal, and the Israel Journal of Mathematics.

Table of contents (13 chapters)

  • Germ Expansions for Real Groups

    Arthur, James

    Pages 1-91

  • Slopes of Modular Forms

    Buzzard, Kevin (et al.)

    Pages 93-109

  • Transfer Principles for Bounds of Motivic Exponential Functions

    Cluckers, Raf (et al.)

    Pages 111-127

  • Growth of Hecke Fields Along a p-Adic Analytic Family of Modular Forms

    Hida, Haruzo

    Pages 129-173

  • The Trace Formula and Prehomogeneous Vector Spaces

    Hoffmann, Werner

    Pages 175-215

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-3-319-41424-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
valid through November 5, 2017
  • ISBN 978-3-319-41422-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Families of Automorphic Forms and the Trace Formula
Editors
  • Werner Müller
  • Sug Woo Shin
  • Nicolas Templier
Series Title
Simons Symposia
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-41424-9
DOI
10.1007/978-3-319-41424-9
Hardcover ISBN
978-3-319-41422-5
Series ISSN
2365-9564
Edition Number
1
Number of Pages
XII, 578
Number of Illustrations and Tables
19 b/w illustrations
Topics