Last edited by Moogule
Tuesday, August 4, 2020 | History

1 edition of Families of automorphic forms found in the catalog.

Families of automorphic forms

by Roelof W. Bruggeman

  • 303 Want to read
  • 14 Currently reading

Published by Birkhäuser in Basel, Boston .
Written in English

    Subjects:
  • Mathematics,
  • Automorphic forms

  • Edition Notes

    StatementRoelof W. Bruggeman
    SeriesModern Birkhäuser classics
    ContributionsSpringerLink (Online service)
    Classifications
    LC ClassificationsQA353.A9 B78 2010
    The Physical Object
    Format[electronic resource] /
    Pagination1 online resource (x, 317 p.
    Number of Pages317
    ID Numbers
    Open LibraryOL27038159M
    ISBN 103034603363
    ISBN 109783034603355, 9783034603362
    OCLC/WorldCa663094093

    The general part of the book closes with a study of the singularities of these Families. The work is aimed primarily at mathematicians working on real analytic automorphic forms. However, the book will also encourage readers at the graduate level (already versed in the subject and in spectral theory of automorphic forms) to delve into the field. In , Siegel introduced a new class of modular forms in several variables. Nowadays, the theory of automorphic forms on a bounded symmetric domain has been developed in several directions as well as the theory of automorphic forms in a rather wider class. The chapter describes a graded ring, a subring, and Hilbert modular forms.

    Automorphic Forms Online References This page is an incomplete, but evolving, list of some online references for learning about automorphic forms, representations and related topics. It is focused on open-access notes and survey papers, not research papers. I may eventually add comments about each entry, and possibly will reorganize things by. Automorphic Forms and Applications Volume 12 of IAS/Park City mathematics series: Editors: Peter Sarnak, Freydoon Shahidi: Publisher: American Mathematical Soc. ISBN: , Length: pages: Subjects.

    This book covers the following three topics in a manner accessible to graduate students who have an understanding of algebraic number theory and scheme theoretic algebraic geometry: 1. An elementary construction of Shimura varieties as moduli of abelian schemes. 2. p-adic deformation theory of automorphic forms on Shimura varieties. 3. Pullback and restriction of automorphic forms 29 Pullbacks and differential operators 31 7. p-adic families of automorphic forms 34 Prior results on families for signature (n,n) 34 Families for arbitrary signature 35 8. Acknowledgements 37 References 37 1. File Size: KB.


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Families of automorphic forms by Roelof W. Bruggeman Download PDF EPUB FB2

Automorphic forms on the upper half plane have been studied for a long time. Most attention has gone to the holomorphic automorphic forms, with numerous applications to number theory.

Maass, [34], started a systematic study of real analytic automorphic forms. Automorphic forms Poincare series Selfadjoint extension Families of automorphic forms Transformation and truncation Pseudo Casimir operator Meromorphic continuation Poincare families along vertical lines Singularities of Poincare families Modular group Theta group Commutator subgroup.

Get this from a library. Families of automorphic forms. [Roelof W Bruggeman] -- This book gives a systematic treatment of real analytic Families of automorphic forms book forms on the upper half plane for general confinite discrete subgroups. These automorphic forms are allowed to have exponential.

Automorphic forms on the upper half plane have been studied for a long time. Most attention has gone to the holomorphic automorphic forms, with numerous applications to number theory. Maass, [34], started a systematic study of real analytic automorphic forms.

He extended Hecke’s relation between. 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-Februaryis the product of intensive research collaboration by the participants over the course of the seven-day workshop.

Buy Families of Automorphic Forms and the Trace Formula (Simons Symposia) on FREE SHIPPING on qualified orders Families of Automorphic Forms and the Trace Formula (Simons Symposia): Werner Müller, Sug Woo Shin, Nicolas Families of automorphic forms book : Books.

Modern analysis of automorphic forms by examples Paul Garrett version Aug c Paul Garrett This is a prepublication version of a book to be published by Cambridge University Press, Per contractual agreement, I can keep a PDF copy on-line (especially for corrections and updates), and.

Abstract. Up till now we have studied individual automorphic forms. These turn out to occur in families in a natural way. For instance, the Poincaré series depends continuously on the weight l, the unitary character x, and the spectral parameter dependence on s is holomorphic.

It is not clear from the series that there might be a holomorphic or meromorphic dependence on the character Cited by: The passage from classical modular forms to automorphic forms, and from automorphic forms to automorphic representations, is explained in a volume called "Lectures on Automorphic L-Functions." I think people who want to know learn what is going on with automorphic forms would be disappointed with this by: In harmonic analysis and number theory, an automorphic form is a well-behaved function from a topological group G to the complex numbers (or complex vector space) which is invariant under the action of a discrete subgroup ⊂ of the topological group.

Automorphic forms are a generalization of the idea of periodic functions in Euclidean space to general topological groups. Also @amazon: Automorphic Forms and Representations (Cambridge Studies in Advanced Mathematics), by Daniel Bump. Video Lectures. See *Automorphic Forms_Arithmetic Applications* for a video presentation that is one of the Institute for Advanced Study Video Lectures.

The full title: Automorphic forms: Arithmetic applications of automorphic forms. Home» MAA Publications» MAA Reviews» Families of Automorphic Forms.

Families of Automorphic Forms. Bruggeman. Publisher: Birkhäuser. Category: Monograph. MAA Review; Table of Contents; We do not plan to review this book. See the table of contents in pdf format. Tags: Modular Forms and Functions.

Automorphic Forms and. The book features extensive foundational material on the representation theory of GL(1) and GL(2) over local fields, the theory of automorphic representations, L-functions and advanced topics such as the Langlands conjectures, the Weil representation, the Rankin–Selberg method and the triple L-function, examining this subject matter from many Cited by: Introductory lectures on automorphic forms Lectures for the European School of Group Theory July,Luminy, France by Nolan R.

Wallach 1 Orbital integrals and the Harish-Chandra transform. This section is devoted to a rapid review of some of the basic analysis that is necessary in representation theory and the basic theory of automorphic forms.

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.

The data of all S (q), q > 1, is called here a family of automorphic forms; in particular, if we speak of a constant depending only on the family, it means independent of q (and in general will. PDF | On May 2,Philippe Michel and others published Analytic Number Theory and Families of Automorphic 𝐿-functions | Find, read and cite all the research you need on ResearchGate.

The main objects of study in this book are Eisenstein series and zeta functions associated with Hecke eigenforms on symplectic and unitary groups.

After preliminaries—including a section, “Notation and Terminology”—the first part of the book deals with automorphic forms on such groups. - Families of L-functions and their symmetry (with Peter Sarnak and Nicolas Templier), Families of automorphic forms and the trace formula, Simons Symposia Book (), - Patching and the p-adic Langlands correspondence (with Ana Caraiani, Matthew Emerton, Toby Gee, David Geraghty, and Vytautas Paskunas) [arxiv], Camb.

Math. January 26 – February 1, Organizers: Werner Mueller, University of Bonn Sug Woo Shin, Massachussets Institute of Technology Nicolas Templier, Princeton University The Simons Symposium on Families of Automorphic Forms and the Trace Formula provided an opportunity for researchers to study families of automorphic representations of higher rank groups.

Description; Chapters; Supplementary; The aim of this book is to give a systematic exposition of results in some important cases where p-adic families and p-adic L-functions are first look at p-adic families in the following cases: general linear groups, symplectic groups and definite unitary also look at applications of this theory to modularity lifting problems.Featured Books Browse Bookstore Book Series Sample eBooks About the eReader Exam/Desk Copies Review Copies AMS eBook Collections.

Chapter I. Automorphic Forms and Families of Abelian Varieties(from Arithmeticity in the Theory of Automorphic Forms) Chapter I. Automorphic Forms and Families of Abelian Varieties 18; 1.The Mathematical Sciences Research Institute (MSRI), founded inis an independent nonprofit mathematical research institution whose funding sources include the National Science Foundation, foundations, corporations, and more than 90 universities and institutions.

The Institute is located at 17 Gauss Way, on the University of California, Berkeley campus, close to Grizzly Peak, on the.