Author : D. Bump
Publisher : Springer
Page : 196 pages
File Size : 44,6 Mb
Release : 2006-12-08
Category : Mathematics
ISBN : 9783540390558
Automorphic Forms on GL (3,TR)
D. Bump
Automorphic Forms And Representations
Automorphic Forms And Representations Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Automorphic Forms And Representations book. This book definitely worth reading, it is an incredibly well-written.
Automorphic Forms on GL (3,TR)
D. Bump
Author : D. Bump
Publisher : Lecture Notes in Mathematics
Page : 204 pages
File Size : 46,6 Mb
Release : 1984-10
Category : Mathematics
ISBN : UOM:39015049314274
Automorphic Forms on GL (3,TR) by D. Bump Pdf
Representation Theory and Automorphic Forms
Toshiyuki Kobayashi,Wilfried Schmid,Jae-Hyun Yang
Author : Toshiyuki Kobayashi,Wilfried Schmid,Jae-Hyun Yang
Publisher : Springer Science & Business Media
Page : 220 pages
File Size : 47,5 Mb
Release : 2007-10-10
Category : Mathematics
ISBN : 9780817646462
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.
Automorphic Forms, Representations and $L$-Functions
Armand Borel,W. Casselman,American Mathematical Society
Author : Armand Borel,W. Casselman,American Mathematical Society
Publisher : American Mathematical Soc.
Page : 394 pages
File Size : 51,9 Mb
Release : 1979-06-30
Category : Mathematics
ISBN : 9780821814376
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
Automorphic Forms on GL (2)
H. Jacquet
Author : H. Jacquet
Publisher : Springer
Page : 156 pages
File Size : 49,6 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540376125
Automorphic Forms on GL (2) by H. Jacquet Pdf
Automorphic Forms
Anton Deitmar
Author : Anton Deitmar
Publisher : Springer Science & Business Media
Page : 255 pages
File Size : 40,9 Mb
Release : 2012-08-29
Category : Mathematics
ISBN : 9781447144359
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.
Automorphic Forms and Representations
Daniel Bump
Author : Daniel Bump
Publisher : Cambridge University Press
Page : 592 pages
File Size : 42,9 Mb
Release : 1998-11-28
Category : Mathematics
ISBN : 0521658187
Automorphic Forms and Representations by Daniel Bump Pdf
This book takes advanced graduate students from the foundations to topics on the research frontier.
Families of Automorphic Forms and the Trace Formula
Werner Müller,Sug Woo Shin,Nicolas Templier
Author : Werner Müller,Sug Woo Shin,Nicolas Templier
Publisher : Springer
Page : 578 pages
File Size : 49,5 Mb
Release : 2016-09-20
Category : Mathematics
ISBN : 9783319414249
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.
Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms
Volker Heiermann,Dipendra Prasad
Author : Volker Heiermann,Dipendra Prasad
Publisher : Springer
Page : 364 pages
File Size : 52,8 Mb
Release : 2018-10-01
Category : Mathematics
ISBN : 9783319952314
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.
Automorphic Forms on Adele Groups. (AM-83), Volume 83
Stephen S. Gelbart
Author : Stephen S. Gelbart
Publisher : Princeton University Press
Page : 227 pages
File Size : 47,7 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400881611
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?
Harmonic Analysis, Group Representations, Automorphic Forms, and Invariant Theory
Jian-Shu Li
Author : Jian-Shu Li
Publisher : World Scientific
Page : 446 pages
File Size : 41,7 Mb
Release : 2007
Category : Mathematics
ISBN : 9789812770783
Harmonic Analysis, Group Representations, Automorphic Forms, and Invariant Theory by Jian-Shu Li Pdf
This volume carries the same title as that of an international conference held at the National University of Singapore, 9-11 January 2006 on the occasion of Roger E. Howe's 60th birthday. Authored by leading members of the Lie theory community, these contributions, expanded from invited lectures given at the conference, are a fitting tribute to the originality, depth and influence of Howe's mathematical work. The range and diversity of the topics will appeal to a broad audience of research mathematicians and graduate students interested in symmetry and its profound applications.
Automorphic Forms and L-Functions for the Group GL(n,R)
Dorian Goldfeld
Author : Dorian Goldfeld
Publisher : Cambridge University Press
Page : 65 pages
File Size : 41,5 Mb
Release : 2006-08-03
Category : Mathematics
ISBN : 9781139456203
Automorphic Forms and L-Functions for the Group GL(n,R) by Dorian Goldfeld Pdf
L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with a basic knowledge of classical analysis, complex variable theory, and algebra. Also within the volume are many new results not yet found in the literature. The exposition provides complete detailed proofs of results in an easy-to-read format using many examples and without the need to know and remember many complex definitions. The main themes of the book are first worked out for GL(2,R) and GL(3,R), and then for the general case of GL(n,R). In an appendix to the book, a set of Mathematica functions is presented, designed to allow the reader to explore the theory from a computational point of view.
Topics in Classical Automorphic Forms
Henryk Iwaniec
Author : Henryk Iwaniec
Publisher : American Mathematical Soc.
Page : 274 pages
File Size : 41,5 Mb
Release : 1997
Category : Mathematics
ISBN : 9780821807774
Topics in Classical Automorphic Forms by Henryk Iwaniec Pdf
This volume discusses various perspectives of the theory of automorphic forms drawn from the author's notes from a Rutgers University graduate course. In addition to detailed and often nonstandard treatment of familiar theoretical topics, the author also gives special attention to such subjects as theta- functions and representatives by quadratic forms. Annotation copyrighted by Book News, Inc., Portland, OR
Eisenstein Series and Automorphic Representations
Philipp Fleig,Henrik P. A. Gustafsson,Axel Kleinschmidt,Daniel Persson
Author : Philipp Fleig,Henrik P. A. Gustafsson,Axel Kleinschmidt,Daniel Persson
Publisher : Cambridge Studies in Advanced
Page : 587 pages
File Size : 45,6 Mb
Release : 2018-07-05
Category : Mathematics
ISBN : 9781107189928
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.
Automorphic Forms and Galois Representations
Fred Diamond,Minhyong Kim,Payman L. Kassaei
Author : Fred Diamond,Minhyong Kim,Payman L. Kassaei
Publisher : Unknown
Page : 374 pages
File Size : 43,8 Mb
Release : 2014
Category : Automorphic forms
ISBN : 1316071782
Automorphic Forms and Galois Representations by Fred Diamond,Minhyong Kim,Payman L. Kassaei Pdf
Automorphic forms and Galois representations have played a central role in the development of modern number theory, with the former coming to prominence via the celebrated Langlands program and Wiles' proof of Fermat's Last Theorem. This two-volume collection arose from the 94th LMS-EPSRC Durham Symposium on 'Automorphic Forms and Galois Representations' in July 2011, the aim of which was to explore recent developments in this area. The expository articles and research papers across the two volumes reflect recent interest in p-adic methods in number theory and representation theory, as well as recent progress on topics from anabelian geometry to p-adic Hodge theory and the Langlands program. The topics covered in volume one include the Shafarevich Conjecture, effective local Langlands correspondence, p-adic L-functions, the fundamental lemma, and other topics of contemporary interest.