On The Stabilization Of The Trace Formula

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On the Stabilization of the Trace Formula

Author : Laurent Clozel,Michael Harris,Jean-Pierre Labesse,Bao-Châu Ngô
Publisher : Unknown
Page : 542 pages
File Size : 55,7 Mb
Release : 2017-10-30
Category : Electronic
ISBN : 1571463550

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On the Stabilization of the Trace Formula by Laurent Clozel,Michael Harris,Jean-Pierre Labesse,Bao-Châu Ngô Pdf

This is the first volume of a projected series of two or three collections of mainly expository articles on the arithmetic theory of automorphic forms. The books are intended primarily for two groups of readers. The first group is interested in the structure of automorphic forms on reductive groups over number fields, and specifically in qualitative information about the multiplicities of automorphic representations. The second group is interested in the problem of classifying l-adic representations of Galois groups of number fields. Langlands' conjectures elaborate on the notion that these two problems overlap to a considerable degree. The goal of this series of books is to gather into one place much of the evidence that this is the case, and to present it clearly and succinctly enough so that both groups of readers are not only convinced by the evidence but can pass with minimal effort between the two points of view. More than a decade's worth of progress toward the stabilization of the Arthur-Selberg trace formula, culminating in Ngô Bau Châu's recent proof of the Fundamental Lemma, has made this series timely.

On the Stabilization of the Trace Formula

Author : Laurent Clozel,Michael Harris,Jean-Pierre Labesse,Bao-Châu Ngô
Publisher : International Pressof Boston Incorporated
Page : 527 pages
File Size : 53,6 Mb
Release : 2011
Category : Mathematics
ISBN : 1571462279

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On the Stabilization of the Trace Formula by Laurent Clozel,Michael Harris,Jean-Pierre Labesse,Bao-Châu Ngô Pdf

Families of Automorphic Forms and the Trace Formula

Author : Werner Müller,Sug Woo Shin,Nicolas Templier
Publisher : Springer
Page : 578 pages
File Size : 50,9 Mb
Release : 2016-09-20
Category : Mathematics
ISBN : 9783319414249

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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.

Harmonic Analysis, the Trace Formula, and Shimura Varieties

Author : Clay Mathematics Institute. Summer School
Publisher : American Mathematical Soc.
Page : 708 pages
File Size : 44,6 Mb
Release : 2005
Category : Mathematics
ISBN : 082183844X

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Harmonic Analysis, the Trace Formula, and Shimura Varieties by Clay Mathematics Institute. Summer School Pdf

Langlands program proposes fundamental relations that tie arithmetic information from number theory and algebraic geometry with analytic information from harmonic analysis and group representations. This title intends to provide an entry point into this exciting and challenging field.

Proceedings Of The International Congress Of Mathematicians 2010 (Icm 2010) (In 4 Volumes) - Vol. I: Plenary Lectures And Ceremonies, Vols. Ii-iv: Invited Lectures

Author : Bhatia Rajendra,Pal Arup,Rangarajan G
Publisher : World Scientific
Page : 4144 pages
File Size : 43,5 Mb
Release : 2011-06-06
Category : Mathematics
ISBN : 9789814462938

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Proceedings Of The International Congress Of Mathematicians 2010 (Icm 2010) (In 4 Volumes) - Vol. I: Plenary Lectures And Ceremonies, Vols. Ii-iv: Invited Lectures by Bhatia Rajendra,Pal Arup,Rangarajan G Pdf

ICM 2010 proceedings comprises a four-volume set containing articles based on plenary lectures and invited section lectures, the Abel and Noether lectures, as well as contributions based on lectures delivered by the recipients of the Fields Medal, the Nevanlinna, and Chern Prizes. The first volume will also contain the speeches at the opening and closing ceremonies and other highlights of the Congress.

The Selberg-Arthur Trace Formula

Author : Salahoddin Shokranian
Publisher : Springer
Page : 104 pages
File Size : 48,6 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540466598

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The Selberg-Arthur Trace Formula by Salahoddin Shokranian Pdf

This book based on lectures given by James Arthur discusses the trace formula of Selberg and Arthur. The emphasis is laid on Arthur's trace formula for GL(r), with several examples in order to illustrate the basic concepts. The book will be useful and stimulating reading for graduate students in automorphic forms, analytic number theory, and non-commutative harmonic analysis, as well as researchers in these fields. Contents: I. Number Theory and Automorphic Representations.1.1. Some problems in classical number theory, 1.2. Modular forms and automorphic representations; II. Selberg's Trace Formula 2.1. Historical Remarks, 2.2. Orbital integrals and Selberg's trace formula, 2.3.Three examples, 2.4. A necessary condition, 2.5. Generalizations and applications; III. Kernel Functions and the Convergence Theorem, 3.1. Preliminaries on GL(r), 3.2. Combinatorics and reduction theory, 3.3. The convergence theorem; IV. The Ad lic Theory, 4.1. Basic facts; V. The Geometric Theory, 5.1. The JTO(f) and JT(f) distributions, 5.2. A geometric I-function, 5.3. The weight functions; VI. The Geometric Expansionof the Trace Formula, 6.1. Weighted orbital integrals, 6.2. The unipotent distribution; VII. The Spectral Theory, 7.1. A review of the Eisenstein series, 7.2. Cusp forms, truncation, the trace formula; VIII.The Invariant Trace Formula and its Applications, 8.1. The invariant trace formula for GL(r), 8.2. Applications and remarks

Geometric Aspects of the Trace Formula

Author : Werner Müller,Sug Woo Shin,Nicolas Templier
Publisher : Springer
Page : 453 pages
File Size : 53,5 Mb
Release : 2018-10-11
Category : Mathematics
ISBN : 9783319948331

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Geometric Aspects of the Trace Formula by Werner Müller,Sug Woo Shin,Nicolas Templier Pdf

The second of three volumes devoted to the study of the trace formula, these proceedings focus on automorphic representations of higher rank groups. Based on research presented at the 2016 Simons Symposium on Geometric Aspects of the Trace Formula that took place in Schloss Elmau, Germany, the volume contains both original research articles and articles that synthesize current knowledge and future directions in the field. The articles discuss topics such as the classification problem of representations of reductive groups, the structure of Langlands and Arthur packets, interactions with geometric representation theory, and conjectures on the global automorphic spectrum. Suitable for both graduate students and researchers, this volume presents the latest research in the field. Readers of the first volume Families of Automorphic Forms and the Trace Formula will find this a natural continuation of the study of the trace formula.

Relative Trace Formulas

Author : Werner Müller,Sug Woo Shin,Nicolas Templier
Publisher : Springer Nature
Page : 438 pages
File Size : 49,7 Mb
Release : 2021-05-18
Category : Mathematics
ISBN : 9783030685065

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Relative Trace Formulas by Werner Müller,Sug Woo Shin,Nicolas Templier Pdf

A series of three symposia took place on the topic of trace formulas, each with an accompanying proceedings volume. The present volume is the third and final in this series and focuses on relative trace formulas in relation to special values of L-functions, integral representations, arithmetic cycles, theta correspondence and branching laws. The first volume focused on Arthur’s trace formula, and the second volume focused on methods from algebraic geometry and representation theory. The three proceedings volumes have provided a snapshot of some of the current research, in the hope of stimulating further research on these topics. The collegial format of the symposia allowed a homogeneous set of experts to isolate key difficulties going forward and to collectively assess the feasibility of diverse approaches.

On The Langlands Program: Endoscopy And Beyond

Author : Wee Teck Gan,Dihua Jiang,Lei Zhang,Chen-bo Zhu
Publisher : World Scientific
Page : 449 pages
File Size : 53,8 Mb
Release : 2024-04-15
Category : Mathematics
ISBN : 9789811285837

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On The Langlands Program: Endoscopy And Beyond by Wee Teck Gan,Dihua Jiang,Lei Zhang,Chen-bo Zhu Pdf

This is a collection of lecture notes from the minicourses in the December 2018 Langlands Workshop: Endoscopy and Beyond. The volume combines seven introductory chapters on trace formulas, local Arthur packets, and beyond endoscopy. It aims to introduce the endoscopy classification via a basic example of the trace formula for SL(2), explore the more refined questions on the structure of Arthur packets, and look beyond endoscopy following the suggestions of Langlands, Braverman-Kazhdan, Ngo, and Altuğ. The book is a helpful reference for undergraduates, postgraduates, and researchers.

Shimura Varieties

Author : Thomas Haines,Michael Harris
Publisher : Cambridge University Press
Page : 341 pages
File Size : 49,9 Mb
Release : 2020-02-20
Category : Mathematics
ISBN : 9781108704861

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Shimura Varieties by Thomas Haines,Michael Harris Pdf

This volume forms the sequel to "On the stabilization of the trace formula", published by International Press of Boston, Inc., 2011

The Abel Prize 2018-2022

Author : Helge Holden,Ragni Piene
Publisher : Springer Nature
Page : 876 pages
File Size : 47,9 Mb
Release : 2024
Category : Computer science
ISBN : 9783031339738

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The Abel Prize 2018-2022 by Helge Holden,Ragni Piene Pdf

The book presents the winners of the Abel Prize in mathematics for the period 2018-2022: - Robert P. Langlands (2018) - Karen K. Uhlenbeck (2019) - Hillel Furstenberg and Gregory Margulis (2020) - Lászlo Lóvász and Avi Wigderson (2021) - Dennis P. Sullivan (2022) The profiles feature autobiographical information as well as a scholarly description of each mathematician’s work. In addition, each profile contains a Curriculum Vitae, a complete bibliography, and the full citation from the prize committee. The book also includes photos from the period 2018-2022 showing many of the additional activities connected with the Abel Prize. This book follows on The Abel Prize: 2003-2007. The First Five Years (Springer, 2010) and The Abel Prize 2008-2012 (Springer, 2014) as well as on The Abel Prize 2013-2017 (Springer, 2019), which profile the previous Abel Prize laureates.

Fifth International Congress of Chinese Mathematicians

Author : Lizhen Ji
Publisher : American Mathematical Soc.
Page : 520 pages
File Size : 52,5 Mb
Release : 2012
Category : Mathematics
ISBN : 9780821875865

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Fifth International Congress of Chinese Mathematicians by Lizhen Ji Pdf

This two-part volume represents the proceedings of the Fifth International Congress of Chinese Mathematicians, held at Tsinghua University, Beijing, in December 2010. The Congress brought together eminent Chinese and overseas mathematicians to discuss the latest developments in pure and applied mathematics. Included are 60 papers based on lectures given at the conference.

Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms

Author : Volker Heiermann,Dipendra Prasad
Publisher : Springer
Page : 364 pages
File Size : 50,8 Mb
Release : 2018-10-01
Category : Mathematics
ISBN : 9783319952314

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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.

La Formule des Traces Tordue d'apres le Friday Morning Seminar

Author : Jean-Pierre Labesse,Jean-Loup Waldspurger
Publisher : American Mathematical Soc.
Page : 264 pages
File Size : 44,7 Mb
Release : 2013-03-07
Category : Mathematics
ISBN : 9780821894415

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La Formule des Traces Tordue d'apres le Friday Morning Seminar by Jean-Pierre Labesse,Jean-Loup Waldspurger Pdf

La formule des traces pour un groupe reductif connexe arbitraire est due a James Arthur. Le cas tordu a fait l'objet du Friday Morning Seminar a l'Institute for Advanced Study de Princeton pendant l'annee academique 1983-1984. Lors de ce seminaire, des ex