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Automorphic Representations of Unitary Groups in Three Variables

Automorphic Representations of Unitary Groups in Three Variables
Author: Jonathan David Rogawski
Publisher: Princeton University Press
Total Pages: 276
Release: 1990-09-21
Genre: Mathematics
ISBN: 9780691085876

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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 Representation of Unitary Groups in Three Variables. (AM-123), Volume 123

Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123
Author: Jonathan David Rogawski
Publisher: Princeton University Press
Total Pages: 272
Release: 2016-03-02
Genre: Mathematics
ISBN: 1400882443

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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.


Families of Automorphic Forms and the Trace Formula

Families of Automorphic Forms and the Trace Formula
Author: Werner Müller
Publisher: Springer
Total Pages: 581
Release: 2016-09-20
Genre: Mathematics
ISBN: 3319414240

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Featuring the work of twenty-three internationally-recognized experts, this volume explores the trace formula, spectra of locally symmetric spaces, p-adic families, and other recent techniques from harmonic analysis and representation theory. 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.


Automorphic Representations of Unitary Groups in Three Variables

Automorphic Representations of Unitary Groups in Three Variables
Author: Jonathan David Rogawski
Publisher:
Total Pages: 257
Release: 1990
Genre: Science
ISBN: 9780691085869

Download Automorphic Representations of Unitary Groups in Three Variables Book in PDF, ePub and Kindle

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 on GL (2)

Automorphic Forms on GL (2)
Author: H. Jacquet
Publisher: Springer
Total Pages: 156
Release: 2006-11-15
Genre: Mathematics
ISBN: 3540376127

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Mathematical Reviews

Mathematical Reviews
Author:
Publisher:
Total Pages: 666
Release: 1994
Genre: Mathematics
ISBN:

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Eisenstein Series and Automorphic Representations

Eisenstein Series and Automorphic Representations
Author: Philipp Fleig
Publisher: Cambridge Studies in Advanced
Total Pages: 587
Release: 2018-07-05
Genre: Mathematics
ISBN: 1107189926

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Detailed exposition of automorphic representations and their relation to string theory, for mathematicians and theoretical physicists.


Harmonic Analysis, the Trace Formula, and Shimura Varieties

Harmonic Analysis, the Trace Formula, and Shimura Varieties
Author: Clay Mathematics Institute. Summer School
Publisher: American Mathematical Soc.
Total Pages: 708
Release: 2005
Genre: Mathematics
ISBN: 9780821838440

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Langlands program proposes fundamental relations that tie arithmetic information from number theory and algebraic geometry with analytic information from harmonic analysis and group representations. This title intends to provide an entry point into this exciting and challenging field.


Representations of the Infinite Symmetric Group

Representations of the Infinite Symmetric Group
Author: Alexei Borodin
Publisher: Cambridge University Press
Total Pages: 169
Release: 2017
Genre: Mathematics
ISBN: 1107175550

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An introduction to the modern representation theory of big groups, exploring its connections to probability and algebraic combinatorics.