Representation Theory And Automorphic Forms

Author : Toshiyuki Kobayashi,Wilfried Schmid,Jae-Hyun Yang
Publisher : Springer Science & Business Media
Page : 220 pages
File Size : 53,8 Mb
Release : 2007-10-10
Category : Mathematics
ISBN : 9780817646462

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Representation Theory and Automorphic Forms by Toshiyuki Kobayashi,Wilfried Schmid,Jae-Hyun Yang Pdf

This volume uses a unified approach to representation theory and automorphic forms. It collects papers, written by leading mathematicians, that track recent progress in the expanding fields of representation theory and automorphic forms and their association with number theory and differential geometry. Topics include: Automorphic forms and distributions, modular forms, visible-actions, Dirac cohomology, holomorphic forms, harmonic analysis, self-dual representations, and Langlands Functoriality Conjecture, Both graduate students and researchers will find inspiration in this volume.

Author : D. Bump
Publisher : Springer
Page : 196 pages
File Size : 44,5 Mb
Release : 2006-12-08
Category : Mathematics
ISBN : 9783540390558

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Automorphic Forms on GL (3,TR) by D. Bump Pdf

Author : H. Jacquet
Publisher : Springer
Page : 156 pages
File Size : 51,5 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540376125

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Automorphic Forms on GL (2) by H. Jacquet Pdf

Author : Volker Heiermann,Dipendra Prasad
Publisher : Springer
Page : 364 pages
File Size : 41,5 Mb
Release : 2018-10-01
Category : Mathematics
ISBN : 9783319952314

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Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms by Volker Heiermann,Dipendra Prasad Pdf

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.

Author : Anton Deitmar
Publisher : Springer Science & Business Media
Page : 255 pages
File Size : 44,6 Mb
Release : 2012-08-29
Category : Mathematics
ISBN : 9781447144359

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Automorphic Forms by Anton Deitmar Pdf

Automorphic forms are an important complex analytic tool in number theory and modern arithmetic geometry. They played for example a vital role in Andrew Wiles's proof of Fermat's Last Theorem. This text provides a concise introduction to the world of automorphic forms using two approaches: the classic elementary theory and the modern point of view of adeles and representation theory. The reader will learn the important aims and results of the theory by focussing on its essential aspects and restricting it to the 'base field' of rational numbers. Students interested for example in arithmetic geometry or number theory will find that this book provides an optimal and easily accessible introduction into this topic.

Author : Toshiyuki Kobayashi,Wilfried Schmid,Jae-Hyun Yang
Publisher : Birkhäuser
Page : 214 pages
File Size : 40,6 Mb
Release : 2008-11-01
Category : Mathematics
ISBN : 0817671293

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Representation Theory and Automorphic Forms by Toshiyuki Kobayashi,Wilfried Schmid,Jae-Hyun Yang Pdf

This volume uses a unified approach to representation theory and automorphic forms. It collects papers, written by leading mathematicians, that track recent progress in the expanding fields of representation theory and automorphic forms and their association with number theory and differential geometry. Topics include: Automorphic forms and distributions, modular forms, visible-actions, Dirac cohomology, holomorphic forms, harmonic analysis, self-dual representations, and Langlands Functoriality Conjecture, Both graduate students and researchers will find inspiration in this volume.

Author : Paul Sally,Nolan R. Wallach
Publisher : American Mathematical Soc.
Page : 452 pages
File Size : 47,5 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 0821869310

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Representation Theory and Automorphic Forms by Paul Sally,Nolan R. Wallach Pdf

The eleven papers collected in this volume appeared in the Bulletin of the AMS during the years 1955 to 1984 and share the theme of the representation theory of locally compact groups and its numerous applications. The papers provide a glimpse at the historical development of a subject which has expanded into many areas of mathematics during the past forty years. In addition, this volume provides easy access to a useful set of references. Chronicling some of the most important developments in papers by some of the field's major figures, this book will appeal to specialists in representation theory as well as to researchers in those areas of mathematics in which representation theory plays an important role.

Author : Werner Müller,Sug Woo Shin,Nicolas Templier
Publisher : Springer
Page : 578 pages
File Size : 40,7 Mb
Release : 2016-09-20
Category : Mathematics
ISBN : 9783319414249

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Families of Automorphic Forms and the Trace Formula by Werner Müller,Sug Woo Shin,Nicolas Templier Pdf

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.

Author : Philipp Fleig,Henrik P. A. Gustafsson,Axel Kleinschmidt,Daniel Persson
Publisher : Cambridge Studies in Advanced
Page : 587 pages
File Size : 42,8 Mb
Release : 2018-07-05
Category : Mathematics
ISBN : 9781107189928

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Eisenstein Series and Automorphic Representations by Philipp Fleig,Henrik P. A. Gustafsson,Axel Kleinschmidt,Daniel Persson Pdf

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

Author : T. N. Bailey
Publisher : American Mathematical Soc.
Page : 490 pages
File Size : 46,5 Mb
Release : 1997
Category : Automorphic forms
ISBN : 9780821806098

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Representation Theory and Automorphic Forms by T. N. Bailey Pdf

The lectures from a course in the representation theory of semi- simple groups, automorphic forms, and the relations between them. The purpose is to help analysts make systematic use of Lie groups in work on harmonic analysis, differential equations, and mathematical physics; and to provide number theorists with the representation-theoretic input to Wiles's proof of Fermat's Last Theorem. Begins with an introductory treatment of structure theory and ends with the current status of functionality. Annotation copyrighted by Book News, Inc., Portland, OR

Author : Stephen S. Gelbart
Publisher : Princeton University Press
Page : 227 pages
File Size : 51,9 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400881611

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Automorphic Forms on Adele Groups. (AM-83), Volume 83 by Stephen S. Gelbart Pdf

This volume investigates the interplay between the classical theory of automorphic forms and the modern theory of representations of adele groups. Interpreting important recent contributions of Jacquet and Langlands, the author presents new and previously inaccessible results, and systematically develops explicit consequences and connections with the classical theory. The underlying theme is the decomposition of the regular representation of the adele group of GL(2). A detailed proof of the celebrated trace formula of Selberg is included, with a discussion of the possible range of applicability of this formula. Throughout the work the author emphasizes new examples and problems that remain open within the general theory. TABLE OF CONTENTS: 1. The Classical Theory 2. Automorphic Forms and the Decomposition of L2(PSL(2,R) 3. Automorphic Forms as Functions on the Adele Group of GL(2) 4. The Representations of GL(2) over Local and Global Fields 5. Cusp Forms and Representations of the Adele Group of GL(2) 6. Hecke Theory for GL(2) 7. The Construction of a Special Class of Automorphic Forms 8. Eisenstein Series and the Continuous Spectrum 9. The Trace Formula for GL(2) 10. Automorphic Forms on a Quaternion Algebr?

Author : G. Harder,K. Iwasawa,S. Gelbart
Publisher : Unknown
Page : 368 pages
File Size : 40,5 Mb
Release : 2014-09-01
Category : Electronic
ISBN : 3662007355

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Automorphic Forms, Representation Theory and Arithmetic by G. Harder,K. Iwasawa,S. Gelbart Pdf

Author : Rolf Berndt,Ralf Schmidt
Publisher : Springer Science & Business Media
Page : 225 pages
File Size : 49,6 Mb
Release : 2012-01-05
Category : Mathematics
ISBN : 9783034802826

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Elements of the Representation Theory of the Jacobi Group by Rolf Berndt,Ralf Schmidt Pdf

Combining algebraic groups and number theory, this volume gathers material from the representation theory of this group for the first time, doing so for both local (Archimedean and non-Archimedean) cases as well as for the global number field case.

Author : Armand Borel,W. Casselman,American Mathematical Society
Publisher : American Mathematical Soc.
Page : 394 pages
File Size : 41,5 Mb
Release : 1979-06-30
Category : Mathematics
ISBN : 9780821814376

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Automorphic Forms, Representations and $L$-Functions by Armand Borel,W. Casselman,American Mathematical Society Pdf

Part 2 contains sections on Automorphic representations and $L$-functions, Arithmetical algebraic geometry and $L$-functions

Author : J. L. Alperin,Jonathan L. Alperin
Publisher : Cambridge University Press
Page : 198 pages
File Size : 48,9 Mb
Release : 1993-09-24
Category : Mathematics
ISBN : 052144926X

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Local Representation Theory by J. L. Alperin,Jonathan L. Alperin Pdf

The aim of this text is to present some of the key results in the representation theory of finite groups. In order to keep the account reasonably elementary, so that it can be used for graduate-level courses, Professor Alperin has concentrated on local representation theory, emphasising module theory throughout. In this way many deep results can be obtained rather quickly. After two introductory chapters, the basic results of Green are proved, which in turn lead in due course to Brauer's First Main Theorem. A proof of the module form of Brauer's Second Main Theorem is then presented, followed by a discussion of Feit's work connecting maps and the Green correspondence. The work concludes with a treatment, new in part, of the Brauer-Dade theory. As a text, this book contains ample material for a one semester course. Exercises are provided at the end of most sections; the results of some are used later in the text. Representation theory is applied in number theory, combinatorics and in many areas of algebra. This book will serve as an excellent introduction to those interested in the subject itself or its applications.