Automorphic Forms Beyond Mathrm Gl 2
DOWNLOAD
Download Automorphic Forms Beyond Mathrm Gl 2 PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Automorphic Forms Beyond Mathrm Gl 2 book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Automorphic Forms Beyond Mathrm Gl 2
DOWNLOAD
Author : Ellen Elizabeth Eischen
language : en
Publisher: American Mathematical Society
Release Date : 2024-03-26
Automorphic Forms Beyond Mathrm Gl 2 written by Ellen Elizabeth Eischen and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-26 with Mathematics categories.
The Langlands program has been a very active and central field in mathematics ever since its conception over 50 years ago. It connects number theory, representation theory and arithmetic geometry, and other fields in a profound way. There are nevertheless very few expository accounts beyond the GL(2) case. This book features expository accounts of several topics on automorphic forms on higher rank groups, including rationality questions on unitary group, theta lifts and their applications to Arthur's conjectures, quaternionic modular forms, and automorphic forms over functions fields and their applications to inverse Galois problems. It is based on the lecture notes prepared for the twenty-fifth Arizona Winter School on “Automorphic Forms beyond GL(2)”, held March 5–9, 2022, at the University of Arizona in Tucson. The speakers were Ellen Eischen, Wee Teck Gan, Aaron Pollack, and Zhiwei Yun. The exposition of the book is in a style accessible to students entering the field. Advanced graduate students as well as researchers will find this a valuable introduction to various important and very active research areas.
Automorphic Forms On Gl 2
DOWNLOAD
Author : H. Jacquet
language : en
Publisher:
Release Date : 2014-01-15
Automorphic Forms On Gl 2 written by H. Jacquet and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Automorphic Forms On Gl 2
DOWNLOAD
Author : H. Jacquet
language : en
Publisher:
Release Date : 2014-09-01
Automorphic Forms On Gl 2 written by H. Jacquet and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.
Automorphic Forms On Gl 2
DOWNLOAD
Author : H. Jacquet
language : en
Publisher: Springer
Release Date : 2006-11-15
Automorphic Forms On Gl 2 written by H. Jacquet and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Automorphic Forms On Gl 2
DOWNLOAD
Author : Hervé Jacquet
language : en
Publisher:
Release Date : 1970
Automorphic Forms On Gl 2 written by Hervé Jacquet and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Automorphic forms categories.
Automorphic Forms On Gl 2 Vol I
DOWNLOAD
Author : Hervé Jacquet
language : en
Publisher:
Release Date : 1970
Automorphic Forms On Gl 2 Vol I written by Hervé Jacquet and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Automorphic forms categories.
Automorphic Forms On Gl 2 Part Ii
DOWNLOAD
Author : Herve Jacquet
language : en
Publisher:
Release Date : 1972
Automorphic Forms On Gl 2 Part Ii written by Herve Jacquet and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Dirichlet series categories.
Contributions To Automorphic Forms Geometry And Number Theory
DOWNLOAD
Author : Haruzo Hida
language : en
Publisher: JHU Press
Release Date : 2004-03-11
Contributions To Automorphic Forms Geometry And Number Theory written by Haruzo Hida and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-11 with Mathematics categories.
In Contributions to Automorphic Forms, Geometry, and Number Theory, Haruzo Hida, Dinakar Ramakrishnan, and Freydoon Shahidi bring together a distinguished group of experts to explore automorphic forms, principally via the associated L-functions, representation theory, and geometry. Because these themes are at the cutting edge of a central area of modern mathematics, and are related to the philosophical base of Wiles' proof of Fermat's last theorem, this book will be of interest to working mathematicians and students alike. Never previously published, the contributions to this volume expose the reader to a host of difficult and thought-provoking problems. Each of the extraordinary and noteworthy mathematicians in this volume makes a unique contribution to a field that is currently seeing explosive growth. New and powerful results are being proved, radically and continually changing the field's make up. Contributions to Automorphic Forms, Geometry, and Number Theory will likely lead to vital interaction among researchers and also help prepare students and other young mathematicians to enter this exciting area of pure mathematics. Contributors: Jeffrey Adams, Jeffrey D. Adler, James Arthur, Don Blasius, Siegfried Boecherer, Daniel Bump, William Casselmann, Laurent Clozel, James Cogdell, Laurence Corwin, Solomon Friedberg, Masaaki Furusawa, Benedict Gross, Thomas Hales, Joseph Harris, Michael Harris, Jeffrey Hoffstein, Hervé Jacquet, Dihua Jiang, Nicholas Katz, Henry Kim, Victor Kreiman, Stephen Kudla, Philip Kutzko, V. Lakshmibai, Robert Langlands, Erez Lapid, Ilya Piatetski-Shapiro, Dipendra Prasad, Stephen Rallis, Dinakar Ramakrishnan, Paul Sally, Freydoon Shahidi, Peter Sarnak, Rainer Schulze-Pillot, Joseph Shalika, David Soudry, Ramin Takloo-Bigash, Yuri Tschinkel, Emmanuel Ullmo, Marie-France Vignéras, Jean-Loup Waldspurger.
Automorphic Representations Of Unitary Groups In Three Variables
DOWNLOAD
Author : Jonathan David Rogawski
language : en
Publisher: Princeton University Press
Release Date : 1990-09-21
Automorphic Representations Of Unitary Groups In Three Variables written by Jonathan David Rogawski and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-09-21 with Mathematics categories.
The purpose of this book is to develop the stable trace formula for unitary groups in three variables. The stable trace formula is then applied to obtain a classification of automorphic representations. This work represents the first case in which the stable trace formula has been worked out beyond the case of SL (2) and related groups. Many phenomena which will appear in the general case present themselves already for these unitary groups.
Automorphic Forms And Shimura Varieties Of Pgsp 2
DOWNLOAD
Author : Yuval Z Flicker
language : en
Publisher: World Scientific
Release Date : 2005-08-15
Automorphic Forms And Shimura Varieties Of Pgsp 2 written by Yuval Z Flicker and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-15 with Mathematics categories.
The area of automorphic representations is a natural continuation of studies in the 19th and 20th centuries on number theory and modular forms. A guiding principle is a reciprocity law relating infinite dimensional automorphic representations with finite dimensional Galois representations. Simple relations on the Galois side reflect deep relations on the automorphic side, called “liftings.' This in-depth book concentrates on an initial example of the lifting, from a rank 2 symplectic group PGSp(2) to PGL(4), reflecting the natural embedding of Sp(2,≤) in SL(4, ≤). It develops the technique of comparing twisted and stabilized trace formulae. It gives a detailed classification of the automorphic and admissible representation of the rank two symplectic PGSp(2) by means of a definition of packets and quasi-packets, using character relations and trace formulae identities. It also shows multiplicity one and rigidity theorems for the discrete spectrum.Applications include the study of the decomposition of the cohomology of an associated Shimura variety, thereby linking Galois representations to geometric automorphic representations.To put these results in a general context, the book concludes with a technical introduction to Langlands' program in the area of automorphic representations. It includes a proof of known cases of Artin's conjecture.