Smooth Automorphic Forms And Smooth Automorphic Representations
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Smooth Automorphic Forms And Smooth Automorphic Representations
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Author : Harald Grobner
language : en
Publisher: World Scientific
Release Date : 2023-06-09
Smooth Automorphic Forms And Smooth Automorphic Representations written by Harald Grobner and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-09 with Mathematics categories.
This book provides a conceptual introduction into the representation theory of local and global groups, with final emphasis on automorphic representations of reductive groups G over number fields F.Our approach to automorphic representations differs from the usual literature: We do not consider 'K-finite' automorphic forms, but we allow a richer class of smooth functions of uniform moderate growth. Contrasting the usual approach, our space of 'smooth-automorphic forms' is intrinsic to the group scheme G/F.This setup also covers the advantage that a perfect representation-theoretical symmetry between the archimedean and non-archimedean places of the number field F is regained, by making the bigger space of smooth-automorphic forms into a proper, continuous representation of the full group of adelic points of G.Graduate students and researchers will find the covered topics appear for the first time in a book, where the theory of smooth-automorphic representations is robustly developed and presented in great detail.
Automorphic Forms Representations And L Functions
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Author : A. Borel
language : en
Publisher: American Mathematical Soc.
Release Date : 1979
Automorphic Forms Representations And L Functions written by A. Borel and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.
Contains sections on Reductive groups, representations, Automorphic forms and representations.
Automorphic Forms And Representations
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Author : Daniel Bump
language : en
Publisher: Cambridge University Press
Release Date : 1998-11-28
Automorphic Forms And Representations written by Daniel Bump and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-11-28 with Mathematics categories.
This book takes advanced graduate students from the foundations to topics on the research frontier.
An Intrinsic Theory Of Smooth Automorphic Representations
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Author : Daniel Ross Moore
language : en
Publisher:
Release Date : 2018
An Intrinsic Theory Of Smooth Automorphic Representations written by Daniel Ross Moore and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Automorphic forms categories.
Automorphic Representations Of Unitary Groups In Three Variables
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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 Representations And L Functions For The General Linear Group Volume 2
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Author : Dorian Goldfeld
language : en
Publisher: Cambridge University Press
Release Date : 2011-04-21
Automorphic Representations And L Functions For The General Linear Group Volume 2 written by Dorian Goldfeld and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-21 with Mathematics categories.
This graduate-level textbook provides an elementary exposition of the theory of automorphic representations and L-functions for the general linear group in an adelic setting. Definitions are kept to a minimum and repeated when reintroduced so that the book is accessible from any entry point, and with no prior knowledge of representation theory. The book includes concrete examples of global and local representations of GL(n), and presents their associated L-functions. In Volume 1, the theory is developed from first principles for GL(1), then carefully extended to GL(2) with complete detailed proofs of key theorems. Several proofs are presented for the first time, including Jacquet's simple and elegant proof of the tensor product theorem. In Volume 2, the higher rank situation of GL(n) is given a detailed treatment. Containing numerous exercises by Xander Faber, this book will motivate students and researchers to begin working in this fertile field of research.
The Descent Map From Automorphic Representations Of Gl N To Classical Groups
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Author : David Ginzburg
language : en
Publisher: World Scientific
Release Date : 2011
The Descent Map From Automorphic Representations Of Gl N To Classical Groups written by David Ginzburg and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
This book introduces the method of automorphic descent, providing an explicit inverse map to the (weak) Langlands functorial lift from generic, cuspidal representations on classical groups to general linear groups. The essence of this method is the study of certain Fourier coefficients of the Gelfand?Graev type, or of the Fourier?Jacobi type to certain residual Eisenstein series. An account of this automorphic descent, with complete, detailed proofs, leads to a thorough understanding of important ideas and techniques. The book will be of interest to graduate students and mathematicians, who specialize in automorphic forms and in representation theory of reductive groups over local fields. Relatively self-contained, the content of some of the chapters can serve as topics for graduate students seminars.
Contributions To Automorphic Forms Geometry And Number Theory
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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.
Proceedings Of Symposia In Pure Mathematics Volume 33 Part 1
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Author : A. Borel
language : en
Publisher: American Mathematical Soc.
Release Date :
Proceedings Of Symposia In Pure Mathematics Volume 33 Part 1 written by A. Borel and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Automorphic Forms Representations And L Functions
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Author : Armand Borel
language : en
Publisher: American Mathematical Soc.
Release Date : 1979
Automorphic Forms Representations And L Functions written by Armand Borel and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.
This was the conference on $L$-functions and automorphic forms.