Editors:
- Based on a workshop and a conference at CIRM in Luminy in 2016 attended by both graduate students and very senior practitioners of the subject.
- Features several excellent review articles which can be read by students entering research in many areas of number theory.
- Includes several high level research articles.
- Begins with an article on the geometric Satake isomorphism, a key theorem in the geometric Langlands program.
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2221)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
About this book
This volume presents a panorama of the diverse activities organized by V. Heiermann and D. Prasad in Marseille at the CIRM for the Chaire Morlet event during the first semester of 2016. It assembles together expository articles on topics which previously could only be found in research papers.
Starting with a very detailed article by P. Baumann and S. Riche on the geometric Satake correspondence, the book continues with three introductory articles on distinguished representations due to P. Broussous, F. Murnaghan, and O. Offen; an expository article of I. Badulescu on the Jacquet–Langlands correspondence; a paper of J. Arthur on functoriality and the trace formula in the context of "Beyond Endoscopy", taken from the Simons Proceedings; an article of W-W. Li attempting to generalize Godement–Jacquet theory; and a research paper of C. Moeglin and D. Renard, applying the trace formula to the local Langlands classification for classical groups.The book should be of interest to students as well as professional researchers working in the broad area of number theory and representation theory.
Editors and Affiliations
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Aix-Marseille Université CNRS, Centrale Marseille, I2M, UMR 7373, Marseille, France
Volker Heiermann
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School of Mathematics, Tata Institute of Fundamental Research, Mumbai, India
Dipendra Prasad
About the editors
Dipendra Prasad is a Professor of Mathematics at the Tata Institute of Fundamental Research, Mumbai.
The authors are established researchers in the broad subject of Automorphic forms who came together at CIRM Luminy during the first half of 2016 on Chaire Morlet,
a distinguished research Chaire created by the CIRM, Aix Marseille University, the city of Marseille.
Bibliographic Information
Book Title: Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms
Book Subtitle: CIRM Jean-Morlet Chair, Spring 2016
Editors: Volker Heiermann, Dipendra Prasad
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-95231-4
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2018
Softcover ISBN: 978-3-319-95230-7Published: 02 October 2018
eBook ISBN: 978-3-319-95231-4Published: 01 October 2018
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VII, 364
Number of Illustrations: 51 b/w illustrations, 5 illustrations in colour
Topics: Topological Groups, Lie Groups, Number Theory, Order, Lattices, Ordered Algebraic Structures, Several Complex Variables and Analytic Spaces, Algebraic Geometry