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Automorphic Forms on GL (3,TR)

Automorphic Forms on GL (3,TR)
Author: D. Bump
Publisher: Springer
Total Pages: 196
Release: 2006-12-08
Genre: Mathematics
ISBN: 3540390553

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Representation Theory and Automorphic Forms

Representation Theory and Automorphic Forms
Author: Toshiyuki Kobayashi
Publisher: Springer Science & Business Media
Total Pages: 220
Release: 2007-10-10
Genre: Mathematics
ISBN: 0817646469

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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 and Representations

Automorphic Forms and Representations
Author: Daniel Bump
Publisher: Cambridge University Press
Total Pages: 592
Release: 1998-11-28
Genre: Mathematics
ISBN: 9780521658188

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This book takes advanced graduate students from the foundations to topics on the research frontier.


Automorphic Forms and Galois Representations: Volume 1

Automorphic Forms and Galois Representations: Volume 1
Author: Fred Diamond
Publisher: Cambridge University Press
Total Pages: 385
Release: 2014-10-16
Genre: Mathematics
ISBN: 1316062333

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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.


Automorphic Forms

Automorphic Forms
Author: Anton Deitmar
Publisher: Springer Science & Business Media
Total Pages: 255
Release: 2012-08-29
Genre: Mathematics
ISBN: 144714435X

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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 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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Automorphic Forms, Representations and $L$-Functions

Automorphic Forms, Representations and $L$-Functions
Author: Armand Borel
Publisher: American Mathematical Soc.
Total Pages: 394
Release: 1979-06-30
Genre: Mathematics
ISBN: 0821814370

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


Topics in Classical Automorphic Forms

Topics in Classical Automorphic Forms
Author: Henryk Iwaniec
Publisher: American Mathematical Soc.
Total Pages: 274
Release: 1997
Genre: Mathematics
ISBN: 0821807773

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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


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.


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.