Cogdell, James W. 1953
Overview
Works:  18 works in 75 publications in 1 language and 1,148 library holdings 

Genres:  Conference papers and proceedings History Biography 
Roles:  Author, Editor, Collector, Honoree 
Classifications:  QA353.A9, 515.9 
Publication Timeline
.
Most widely held works by
James W Cogdell
The arithmetic and spectral analysis of Poincaré series by
James W Cogdell(
Book
)
9 editions published in 1990 in English and held by 220 WorldCat member libraries worldwide
The Arithmetic and Spectral Analysis of Poincaré Series
9 editions published in 1990 in English and held by 220 WorldCat member libraries worldwide
The Arithmetic and Spectral Analysis of Poincaré Series
Lectures on automorphic Lfunctions by
James W Cogdell(
Book
)
11 editions published between 2004 and 2009 in English and Undetermined and held by 204 WorldCat member libraries worldwide
This book provides a comprehensive account of how automorphic Lfunctions play a crucial role in the Langlands program, especially, the Langlands functoriality conjecture, and in number theory. Recently there has been a major development in the Langlands functoriality conjecture by the use of automorphic Lfunctions, namely, by combining converse theorems of Cogdell and PiatetskiShapiro with the LanglandsShahidi method. This book introduces the reader to these developments step by step, and explains how the Langlands functoriality conjecture implies solutions to several outstanding conjectur
11 editions published between 2004 and 2009 in English and Undetermined and held by 204 WorldCat member libraries worldwide
This book provides a comprehensive account of how automorphic Lfunctions play a crucial role in the Langlands program, especially, the Langlands functoriality conjecture, and in number theory. Recently there has been a major development in the Langlands functoriality conjecture by the use of automorphic Lfunctions, namely, by combining converse theorems of Cogdell and PiatetskiShapiro with the LanglandsShahidi method. This book introduces the reader to these developments step by step, and explains how the Langlands functoriality conjecture implies solutions to several outstanding conjectur
Selected works of Ilya PiatetskiShapiro by
I. I Pi︠a︡tet︠s︡kiĭShapiro(
Book
)
7 editions published between 2000 and 2001 in English and held by 139 WorldCat member libraries worldwide
7 editions published between 2000 and 2001 in English and held by 139 WorldCat member libraries worldwide
Automorphic forms and related geometry : assessing the legecy of I.I. PiatetskiShapiro : April 2327, 2012, Yale University,
New Haven, CT by Automorphic Forms and Related Geometry (Conference)(
Book
)
9 editions published in 2014 in English and held by 111 WorldCat member libraries worldwide
Ilya I. PiatetskiShapiro, who passed away on 21 February 2009, was a leading figure in the theory of automorphic forms. From April 2327, 2012 the conference Automorphic Forms and Geometry: Assessing the Legacy of I.I. PiatetskiShapiro was held at Yale University to assess the legacy of his work. The conference attempted both to summarize and consolidate the progress that was made during PiatetskiShapiro's lifetime by him and his substantial group of coworkers, and to promote future work by identifying fruitful directions of further investigation. It was organized around several themes that reflected PiatetskiShapiro's main foci of work and that have promise for future development. In each area, there were talks to review the current state of affairs with special attention to PiatetskiShapiro's contributions, and other talks to report on current work and to outline promising avenues for continued progress. The themes selected were: functoriality and converse theorems, local and global Lfunctions and their periods, padic Lfunctions and arithmetic geometry, complex geometry, and analytic number theory
9 editions published in 2014 in English and held by 111 WorldCat member libraries worldwide
Ilya I. PiatetskiShapiro, who passed away on 21 February 2009, was a leading figure in the theory of automorphic forms. From April 2327, 2012 the conference Automorphic Forms and Geometry: Assessing the Legacy of I.I. PiatetskiShapiro was held at Yale University to assess the legacy of his work. The conference attempted both to summarize and consolidate the progress that was made during PiatetskiShapiro's lifetime by him and his substantial group of coworkers, and to promote future work by identifying fruitful directions of further investigation. It was organized around several themes that reflected PiatetskiShapiro's main foci of work and that have promise for future development. In each area, there were talks to review the current state of affairs with special attention to PiatetskiShapiro's contributions, and other talks to report on current work and to outline promising avenues for continued progress. The themes selected were: functoriality and converse theorems, local and global Lfunctions and their periods, padic Lfunctions and arithmetic geometry, complex geometry, and analytic number theory
Automorphic representations, Lfunctions and applications : progress and prospects : proceedings of a conference honoring
Steve Rallis on the occasion of his 60th birthday, the Ohio State University, March 2730, 2003(
Book
)
10 editions published between 2005 and 2011 in English and held by 92 WorldCat member libraries worldwide
The continuing vigor and diversity of research on automorphic representations and their applications to arithmetic are clearly reflected in this volume. The depth and breadth of Rallis's influence are also reflected. The papers in this volume represent many of the most recent developments and directions
10 editions published between 2005 and 2011 in English and held by 92 WorldCat member libraries worldwide
The continuing vigor and diversity of research on automorphic representations and their applications to arithmetic are clearly reflected in this volume. The depth and breadth of Rallis's influence are also reflected. The papers in this volume represent many of the most recent developments and directions
Advances in the theory of automorphic forms and their Lfunctions : workshop in honor of James Cogdell's 60th birthday, October
1625, 2013, Erwin Schrödinger Institute, University of Vienna, Vienna, Austria by
Workshop Advances in the Theory of Automorphic Forms and Their Lfunctions(
Book
)
6 editions published in 2016 in English and held by 83 WorldCat member libraries worldwide
6 editions published in 2016 in English and held by 83 WorldCat member libraries worldwide
Arithmetic geometry and automorphic forms(
Book
)
4 editions published in 2011 in English and held by 35 WorldCat member libraries worldwide
4 editions published in 2011 in English and held by 35 WorldCat member libraries worldwide
Emil Artin and beyond : class field theory and Lfunctions by
Della Dumbaugh(
Book
)
6 editions published in 2015 in English and held by 32 WorldCat member libraries worldwide
This book explores the development of number theory, and class field theory in particular, as it passed through the hands of Emil Artin, Claude Chevalley and Robert Langlands in the middle of the twentieth century. Claude Chevalley's presence in Artin's 1931 Hamburg lectures on class field theory serves as the starting point for this volume. From there, it is traced how class field theory advanced in the 1930s and how Artin's contributions influenced other mathematicians at the time and in subsequent years. Given the difficult political climate and his forced emigration as it were, the question of how Artin created a life in America within the existing institutional framework, and especially of how he continued his education of and close connection with graduate students, is considered. In particular, Artin's collaboration in algebraic number theory with George Whaples and his student Margaret Matchett's thesis work "On the zetafunction for ideles" in the 1940s are investigated. A (first) study of the influence of Artin on present day work on a nonabelian class field theory finishes the book. The volume consists of individual essays by the authors and two contributors, James Cogdell and Robert Langlands, and contains relevant archival material. Among these, the letter from Chevalley to Helmut Hasse in 1935 is included, where he introduces the notion of ideles and explores their significance, along with the previously unpublished thesis by Matchett and the seminal letter of Langlands to André Weil of 1967 where he lays out his ideas regarding a nonabelian class field theory. Taken together, these chapters offer a view of both the life of Artin in the 1930s and 1940s and the development of class field theory at that time. They also provide insight into the transmission of mathematical ideas, the careful steps required to preserve a life in mathematics at a difficult moment in history, and the interplay between mathematics and politics (in more ways than one)
6 editions published in 2015 in English and held by 32 WorldCat member libraries worldwide
This book explores the development of number theory, and class field theory in particular, as it passed through the hands of Emil Artin, Claude Chevalley and Robert Langlands in the middle of the twentieth century. Claude Chevalley's presence in Artin's 1931 Hamburg lectures on class field theory serves as the starting point for this volume. From there, it is traced how class field theory advanced in the 1930s and how Artin's contributions influenced other mathematicians at the time and in subsequent years. Given the difficult political climate and his forced emigration as it were, the question of how Artin created a life in America within the existing institutional framework, and especially of how he continued his education of and close connection with graduate students, is considered. In particular, Artin's collaboration in algebraic number theory with George Whaples and his student Margaret Matchett's thesis work "On the zetafunction for ideles" in the 1940s are investigated. A (first) study of the influence of Artin on present day work on a nonabelian class field theory finishes the book. The volume consists of individual essays by the authors and two contributors, James Cogdell and Robert Langlands, and contains relevant archival material. Among these, the letter from Chevalley to Helmut Hasse in 1935 is included, where he introduces the notion of ideles and explores their significance, along with the previously unpublished thesis by Matchett and the seminal letter of Langlands to André Weil of 1967 where he lays out his ideas regarding a nonabelian class field theory. Taken together, these chapters offer a view of both the life of Artin in the 1930s and 1940s and the development of class field theory at that time. They also provide insight into the transmission of mathematical ideas, the careful steps required to preserve a life in mathematics at a difficult moment in history, and the interplay between mathematics and politics (in more ways than one)
An introduction to the Langlands program by
Daniel Bump(
Book
)
2 editions published in 2004 in English and held by 26 WorldCat member libraries worldwide
For the past several decades the theory of automorphic forms has become a major focal point of development in number theory and algebraic geometry, with applications in many diverse areas, including combinatorics and mathematical physics. The twelve chapters of this monograph present a broad, userfriendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of Lfunctions and other fields of mathematics. Key features of this selfcontained presentation: A variety of areas in number theory from the classical zeta function up to the Langlands program are covered. The exposition is systematic, with each chapter focusing on a particular topic devoted to special cases of the program: Basic zeta function of Riemann and its generalizations to Dirichlet and Hecke Lfunctions, class field theory and some topics on classical automorphic functions (E. Kowalski) A study of the conjectures of Artin and ShimuraTaniyamaWeil (E. de Shalit) An examination of classical modular (automorphic) Lfunctions as GL(2) functions, bringing into play the theory of representations (S.S. Kudla) Selberg's theory of the trace formula, which is a way to study automorphic representations (D. Bump) Discussion of cuspidal automorphic representations of GL(2, (A)) leads to Langlands theory for GL(n) and the importance of the Langlands dual group (J.W. Cogdell) An introduction to the geometric Langlands program, a new and active area of research that permits using powerful methods of algebraic geometry to construct automorphic sheaves (D. Gaitsgory) Graduate students and researchers will benefit from this beautiful text
2 editions published in 2004 in English and held by 26 WorldCat member libraries worldwide
For the past several decades the theory of automorphic forms has become a major focal point of development in number theory and algebraic geometry, with applications in many diverse areas, including combinatorics and mathematical physics. The twelve chapters of this monograph present a broad, userfriendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of Lfunctions and other fields of mathematics. Key features of this selfcontained presentation: A variety of areas in number theory from the classical zeta function up to the Langlands program are covered. The exposition is systematic, with each chapter focusing on a particular topic devoted to special cases of the program: Basic zeta function of Riemann and its generalizations to Dirichlet and Hecke Lfunctions, class field theory and some topics on classical automorphic functions (E. Kowalski) A study of the conjectures of Artin and ShimuraTaniyamaWeil (E. de Shalit) An examination of classical modular (automorphic) Lfunctions as GL(2) functions, bringing into play the theory of representations (S.S. Kudla) Selberg's theory of the trace formula, which is a way to study automorphic representations (D. Bump) Discussion of cuspidal automorphic representations of GL(2, (A)) leads to Langlands theory for GL(n) and the importance of the Langlands dual group (J.W. Cogdell) An introduction to the geometric Langlands program, a new and active area of research that permits using powerful methods of algebraic geometry to construct automorphic sheaves (D. Gaitsgory) Graduate students and researchers will benefit from this beautiful text
On lifting from classical groups to GL N. Diophantine geometry over groups I : MakaninRazborov diagrams / by Zlil Sela [u.a.](
Book
)
3 editions published in 2001 in English and held by 8 WorldCat member libraries worldwide
3 editions published in 2001 in English and held by 8 WorldCat member libraries worldwide
On lifting from classical groups to GLn / MakaninRazborov diagrams / by Zlil Sela. On the EulerPoincaré characteristics
of finite dimensional padic Galois representations / by John Coates, Ramdorai Sujatha and JeanPiere Wintenberger. Deux caractérisations
de la mesure d'équilibre d'un endomorphisme de Pk (C) / par JeanYves Briend et Julien Duval. Algebraic leaves of algebraic
foliations over number fields / by JeanBenoit Bost by
James W Cogdell(
Book
)
1 edition published in 2001 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 2001 in English and held by 4 WorldCat member libraries worldwide
Arithmetic quotients of the complex 2ball and modular forms of Nebentypus by
James W Cogdell(
)
1 edition published in 1981 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1981 in English and held by 2 WorldCat member libraries worldwide
Studies in the History of the English Language II : Unfolding Conversations by
James W Cogdell(
Book
)
1 edition published in 2012 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2012 in English and held by 2 WorldCat member libraries worldwide
An exploration of mathematical applications in cryptography by Amy Kosek(
)
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
Modern cryptography relies heavily on concepts from mathematics. In this thesis we will be discussing several cryptographic ciphers and discovering the mathematical applications which can be found by exploring them. This paper is intended to be accessible to undergraduate or graduate students as a supplement to a course in number theory or modern algebra. The structure of the paper also lends itself to be accessible to a person interested in learning about mathematics in cryptography on their own, since we will always give a review of the background material which will be needed before delving into the cryptographic ciphers
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
Modern cryptography relies heavily on concepts from mathematics. In this thesis we will be discussing several cryptographic ciphers and discovering the mathematical applications which can be found by exploring them. This paper is intended to be accessible to undergraduate or graduate students as a supplement to a course in number theory or modern algebra. The structure of the paper also lends itself to be accessible to a person interested in learning about mathematics in cryptography on their own, since we will always give a review of the background material which will be needed before delving into the cryptographic ciphers
arithmetic and spectral analysis of Poincaré series by
James W Cogdell(
Book
)
1 edition published in 1990 in Undetermined and held by 1 WorldCat member library worldwide
1 edition published in 1990 in Undetermined and held by 1 WorldCat member library worldwide
Wallcrossing behavior of strange duality morphisms for K3 surfaces by Huachen Chen(
)
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
A strange duality morphism is a map between the spaces of global sections of a pair of line bundles on two different moduli spaces of stable complexes, induced by the socalled theta divisor of product of the two moduli spaces. We study these morphisms by varying stability conditions that define the moduli spaces and comparing the corresponding theta divisor
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
A strange duality morphism is a map between the spaces of global sections of a pair of line bundles on two different moduli spaces of stable complexes, induced by the socalled theta divisor of product of the two moduli spaces. We study these morphisms by varying stability conditions that define the moduli spaces and comparing the corresponding theta divisor
On certain results on the local gamma factors for the symplectic and unitary groups by Qing Zhang(
)
1 edition published in 2016 in English and held by 1 WorldCat member library worldwide
In this thesis, we prove several results on the local gamma factors for symplectic groups and unitary groups. First, we prove the dependence relation of the local gamma factors on the additive character ¿. Second, we prove a stability property of the partial Bessel functions associated with Howe vectors, which will be used to reprove the stability property of the local gamma factors. We also prove a local converse theorem for U(2, 2)
1 edition published in 2016 in English and held by 1 WorldCat member library worldwide
In this thesis, we prove several results on the local gamma factors for symplectic groups and unitary groups. First, we prove the dependence relation of the local gamma factors on the additive character ¿. Second, we prove a stability property of the partial Bessel functions associated with Howe vectors, which will be used to reprove the stability property of the local gamma factors. We also prove a local converse theorem for U(2, 2)
An exposition on group characters by Aaron Thaddeus Margraff(
)
1 edition published in 2014 in English and held by 1 WorldCat member library worldwide
Abstract: This paper is an educational approach to group characters through examples which introduces the beginner algebraist to representations and characters of finite groups. My hope is that this exploration might help the advanced undergraduate student discover some of the foundational tools of Character Theory. The prerequisite material for this paper includes some elementary Abstract and Linear Algebra. The basic groups used in the examples are intended to excited a student into exploration of groups they understand from their undergraduate studies. Throughout the section of examples there are exercises used to check understanding and give the reader opportunity to explore further. After taking a course in Abstract Algebra one might find that groups are not concrete objects. Groups model actions, rotations, reflections, movements, and permutations. Group representations turn these abstract sets of objects into sets of n X n matrices with real or complex entries, which can be easily handled by a computer for any number of calculations
1 edition published in 2014 in English and held by 1 WorldCat member library worldwide
Abstract: This paper is an educational approach to group characters through examples which introduces the beginner algebraist to representations and characters of finite groups. My hope is that this exploration might help the advanced undergraduate student discover some of the foundational tools of Character Theory. The prerequisite material for this paper includes some elementary Abstract and Linear Algebra. The basic groups used in the examples are intended to excited a student into exploration of groups they understand from their undergraduate studies. Throughout the section of examples there are exercises used to check understanding and give the reader opportunity to explore further. After taking a course in Abstract Algebra one might find that groups are not concrete objects. Groups model actions, rotations, reflections, movements, and permutations. Group representations turn these abstract sets of objects into sets of n X n matrices with real or complex entries, which can be easily handled by a computer for any number of calculations
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Related Identities
 Pi︠a︡tet︠s︡kiĭShapiro, I. I. (Ilʹi︠a︡ Iosifovich) 19292009 Honoree Author
 Soudry, David 1956 Editor
 Shahidi, Freydoon Editor
 Murty, Maruti Ram
 Kim, Henry Hyeongsin 1964
 Sarnak, Peter Editor
 Gindikin, S. G. (Semen Grigorʹevich) Editor
 Jiang, Dihua Editor
 Rallis, Stephen 1942
 Schwermer, Joachim Editor
Associated Subjects
Arithmetical algebraic geometry Artin, Emil, Austria Automorphic forms Automorphic functions Class field theory Forms (Mathematics) Geometry Geometry, Algebraic Lfunctions Mathematicians Mathematics Number theory Pi︠a︡tet︠s︡kiĭShapiro, I. I.(Ilʹi︠a︡ Iosifovich), Poincaré series Representations of groups Spectral theory (Mathematics) Topological groups
Alternative Names
Cogdell, James.
Cogdell, James 1953
Cogdell, James W.
Cogdell, James Wesley
Languages
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