Germ Expansions for Real Groups
We shall introduce an archimedean analogue of the theory of p-adic Shalika germs. These are the objects for p-adic groups that govern the singularities of invariant orbital integrals. More generally, we shall formulate an archimedean theory of germs for w
- PDF / 7,545,314 Bytes
- 581 Pages / 439.42 x 683.15 pts Page_size
- 7 Downloads / 192 Views
Werner Müller Sug Woo Shin Nicolas Templier Editors
Families of Automorphic Forms and the Trace Formula
Simons Symposia
Werner Müller • Sug Woo Shin • Nicolas Templier Editors
Families of Automorphic Forms and the Trace Formula
123
Editors Werner Müller Mathematical Institute University of Bonn Bonn, Nordrhein-Westfalen Germany
Sug Woo Shin Department of Mathematics University of California, Berkeley Berkeley, CA, USA
Nicolas Templier Department of Mathematics Cornell University Ithaca, NY, USA
ISSN 2365-9564 Simons Symposia ISBN 978-3-319-41422-5 DOI 10.1007/978-3-319-41424-9
ISSN 2365-9572 (electronic) ISBN 978-3-319-41424-9 (eBook)
Library of Congress Control Number: 2016953477 © Springer International Publishing Switzerland 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG Switzerland
Preface
The Simons symposium on families of automorphic forms and the trace formula took place in Puerto Rico from January 26th through February 1st of 2014. It was an opportunity to study families of automorphic representations of higher-rank groups with the goal of paving the way for future developments. We explored the trace formula, spectra of locally symmetric spaces, p-adic families, and other recent techniques from harmonic analysis and representation theory. Experts of different specialties discussed these topics together. There were 23 participants. Background material has circulated in advance of the symposium, with the idea of focusing during the symposium on recent developments and conjectures toward the frontier of current knowledge. In addition to regular talks, open discussion sessions were scheduled daily for 1 h to promote indepth exchanges. A different moderator was assigned to each session. The respective themes were: counting cohomological forms, p-adic trace formulas, Hecke fields, slopes of modular forms, an
Data Loading...
