Overview
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: Simons Symposia (SISY)
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Table of contents(13 papers)
Keywords
- L-functions and symmetry
- automorphic forms
- trace formula
- families of automorphic representations of higher rank groups
- spectra of locally symmetric spaces
- p-adic families
- harmonic analysis and representation theory
- counting cohomological forms
- p-adic trace formulas
- Hecke fields
- slopes of modular forms
- orbital integrals
About this book
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.
Editors and Affiliations
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Mathematical Institute, University of Bonn, Bonn, Germany
Werner Müller
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Department of Mathematics, University of California, Berkeley, Berkeley, USA
Sug Woo Shin
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Department of Mathematics, Cornell University, Ithaca, USA
Nicolas Templier
About the editors
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.
Bibliographic Information
Book Title: Families of Automorphic Forms and the Trace Formula
Editors: Werner Müller, Sug Woo Shin, Nicolas Templier
Series Title: Simons Symposia
DOI: https://doi.org/10.1007/978-3-319-41424-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-41422-5Published: 21 September 2016
Softcover ISBN: 978-3-319-82350-8Published: 15 June 2018
eBook ISBN: 978-3-319-41424-9Published: 20 September 2016
Series ISSN: 2365-9564
Series E-ISSN: 2365-9572
Edition Number: 1
Number of Pages: XII, 578
Number of Illustrations: 19 b/w illustrations
Topics: Topology, Abstract Harmonic Analysis, Convex and Discrete Geometry, Number Theory