Author: Lizhen Ji
Publisher: International Press of Boston
ISBN: 9781571461414
Category : Algebraic number theory
Languages : en
Pages : 0
Book Description
Consists of expanded lecture notes from a 2007 international conference in Guangzhou, China, at which several leading experts in number theory presented introductions to, and surveys of, many aspects of automorphic forms and the Langlands program.
Automorphic Forms and the Langlands Program
Author: Lizhen Ji
Publisher: International Press of Boston
ISBN: 9781571461414
Category : Algebraic number theory
Languages : en
Pages : 0
Book Description
Consists of expanded lecture notes from a 2007 international conference in Guangzhou, China, at which several leading experts in number theory presented introductions to, and surveys of, many aspects of automorphic forms and the Langlands program.
Publisher: International Press of Boston
ISBN: 9781571461414
Category : Algebraic number theory
Languages : en
Pages : 0
Book Description
Consists of expanded lecture notes from a 2007 international conference in Guangzhou, China, at which several leading experts in number theory presented introductions to, and surveys of, many aspects of automorphic forms and the Langlands program.
An Introduction to the Langlands Program
Author: Joseph Bernstein
Publisher: Springer Science & Business Media
ISBN: 0817682260
Category : Mathematics
Languages : en
Pages : 283
Book Description
This book presents a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of L-functions and other fields of mathematics. Each of the twelve chapters focuses on a particular topic devoted to special cases of the program. The book is suitable for graduate students and researchers.
Publisher: Springer Science & Business Media
ISBN: 0817682260
Category : Mathematics
Languages : en
Pages : 283
Book Description
This book presents a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of L-functions and other fields of mathematics. Each of the twelve chapters focuses on a particular topic devoted to special cases of the program. The book is suitable for graduate students and researchers.
Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms
Author: Volker Heiermann
Publisher: Springer
ISBN: 3319952315
Category : Mathematics
Languages : en
Pages : 367
Book Description
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.
Publisher: Springer
ISBN: 3319952315
Category : Mathematics
Languages : en
Pages : 367
Book Description
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.
Automorphic Forms on GL (3,TR)
Author: D. Bump
Publisher: Springer
ISBN: 3540390553
Category : Mathematics
Languages : en
Pages : 196
Book Description
Publisher: Springer
ISBN: 3540390553
Category : Mathematics
Languages : en
Pages : 196
Book Description
The Genesis of the Langlands Program
Author: Julia Mueller
Publisher: Cambridge University Press
ISBN: 1108710948
Category : Mathematics
Languages : en
Pages : 451
Book Description
A step-by-step guide to Langlands' early work leading up the Langlands Program for mathematicians and advanced students.
Publisher: Cambridge University Press
ISBN: 1108710948
Category : Mathematics
Languages : en
Pages : 451
Book Description
A step-by-step guide to Langlands' early work leading up the Langlands Program for mathematicians and advanced students.
Langlands Correspondence for Loop Groups
Author: Edward Frenkel
Publisher: Cambridge University Press
ISBN: 0521854431
Category : Mathematics
Languages : en
Pages : 5
Book Description
The first account of local geometric Langlands Correspondence, a new area of mathematical physics developed by the author.
Publisher: Cambridge University Press
ISBN: 0521854431
Category : Mathematics
Languages : en
Pages : 5
Book Description
The first account of local geometric Langlands Correspondence, a new area of mathematical physics developed by the author.
Representation Theory and Automorphic Forms
Author: Toshiyuki Kobayashi
Publisher: Springer Science & Business Media
ISBN: 0817646469
Category : Mathematics
Languages : en
Pages : 220
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 0817646469
Category : Mathematics
Languages : en
Pages : 220
Book Description
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.
Eisenstein Series and Automorphic Representations
Author: Philipp Fleig
Publisher: Cambridge Studies in Advanced
ISBN: 1107189926
Category : Mathematics
Languages : en
Pages : 587
Book Description
Detailed exposition of automorphic representations and their relation to string theory, for mathematicians and theoretical physicists.
Publisher: Cambridge Studies in Advanced
ISBN: 1107189926
Category : Mathematics
Languages : en
Pages : 587
Book Description
Detailed exposition of automorphic representations and their relation to string theory, for mathematicians and theoretical physicists.
Automorphic Forms and Even Unimodular Lattices
Author: Gaëtan Chenevier
Publisher: Springer
ISBN: 3319958917
Category : Mathematics
Languages : en
Pages : 428
Book Description
This book includes a self-contained approach of the general theory of quadratic forms and integral Euclidean lattices, as well as a presentation of the theory of automorphic forms and Langlands' conjectures, ranging from the first definitions to the recent and deep classification results due to James Arthur. Its connecting thread is a question about lattices of rank 24: the problem of p-neighborhoods between Niemeier lattices. This question, whose expression is quite elementary, is in fact very natural from the automorphic point of view, and turns out to be surprisingly intriguing. We explain how the new advances in the Langlands program mentioned above pave the way for a solution. This study proves to be very rich, leading us to classical themes such as theta series, Siegel modular forms, the triality principle, L-functions and congruences between Galois representations. This monograph is intended for any mathematician with an interest in Euclidean lattices, automorphic forms or number theory. A large part of it is meant to be accessible to non-specialists.
Publisher: Springer
ISBN: 3319958917
Category : Mathematics
Languages : en
Pages : 428
Book Description
This book includes a self-contained approach of the general theory of quadratic forms and integral Euclidean lattices, as well as a presentation of the theory of automorphic forms and Langlands' conjectures, ranging from the first definitions to the recent and deep classification results due to James Arthur. Its connecting thread is a question about lattices of rank 24: the problem of p-neighborhoods between Niemeier lattices. This question, whose expression is quite elementary, is in fact very natural from the automorphic point of view, and turns out to be surprisingly intriguing. We explain how the new advances in the Langlands program mentioned above pave the way for a solution. This study proves to be very rich, leading us to classical themes such as theta series, Siegel modular forms, the triality principle, L-functions and congruences between Galois representations. This monograph is intended for any mathematician with an interest in Euclidean lattices, automorphic forms or number theory. A large part of it is meant to be accessible to non-specialists.
Automorphic Forms on GL (2)
Author: H. Jacquet
Publisher: Springer
ISBN: 3540376127
Category : Mathematics
Languages : en
Pages : 156
Book Description
Publisher: Springer
ISBN: 3540376127
Category : Mathematics
Languages : en
Pages : 156
Book Description