Zeta Functions Of Simple Algebras By Roger Godement And Herve Jacquet

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Zeta Functions Of Simple Algebras By Roger Godement And Herve Jacquet

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Author :
language : en
Publisher:
Release Date : 1972

Zeta Functions Of Simple Algebras By Roger Godement And Herve Jacquet written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Algebraic number theory categories.

Zeta Functions Of Simple Algebras

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Author : Roger Godement
language : en
Publisher: Springer
Release Date : 2006-11-14

Zeta Functions Of Simple Algebras written by Roger Godement and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

Automorphic Forms And Related Geometry Assessing The Legacy Of I I Piatetski Shapiro

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Author : James W. Cogdell
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-04-01

Automorphic Forms And Related Geometry Assessing The Legacy Of I I Piatetski Shapiro written by James W. Cogdell and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-01 with Mathematics categories.

This volume contains the proceedings of the conference Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro, held from April 23-27, 2012, at Yale University, New Haven, CT. Ilya I. Piatetski-Shapiro, who passed away on 21 February 2009, was a leading figure in the theory of automorphic forms. The conference attempted both to summarize and consolidate the progress that was made during Piatetski-Shapiro's lifetime by him and a substantial group of his co-workers, and to promote future work by identifying fruitful directions of further investigation. It was organized around several themes that reflected Piatetski-Shapiro's main foci of work and that have promise for future development: functoriality and converse theorems; local and global -functions and their periods; -adic -functions and arithmetic geometry; complex geometry; and analytic number theory. In each area, there were talks to review the current state of affairs with special attention to Piatetski-Shapiro's contributions, and other talks to report on current work and to outline promising avenues for continued progress. The contents of this volume reflect most of the talks that were presented at the conference as well as a few additional contributions. They all represent various aspects of the legacy of Piatetski-Shapiro.

Representation Theory And Harmonic Analysis On Symmetric Spaces

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Author : Jens Gerlach Christensen
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-08-27

Representation Theory And Harmonic Analysis On Symmetric Spaces written by Jens Gerlach Christensen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-27 with Mathematics categories.

This volume contains the proceedings of the AMS Special Session on Harmonic Analysis, in honor of Gestur Ólafsson's 65th birthday, held on January 4, 2017, in Atlanta, Georgia. The articles in this volume provide fresh perspectives on many different directions within harmonic analysis, highlighting the connections between harmonic analysis and the areas of integral geometry, complex analysis, operator algebras, Lie algebras, special functions, and differential operators. The breadth of contributions highlights the diversity of current research in harmonic analysis and shows that it continues to be a vibrant and fruitful field of inquiry.

Automorphic Representations L Functions And Applications

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Author : Stephen Rallis
language : en
Publisher: Walter de Gruyter
Release Date : 2005

Automorphic Representations L Functions And Applications written by Stephen Rallis and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.

Thisseries is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.

The Genesis Of The Langlands Program

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Author : Julia Mueller
language : en
Publisher: Cambridge University Press
Release Date : 2021-08-05

The Genesis Of The Langlands Program written by Julia Mueller and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-05 with Mathematics categories.

A step-by-step guide to Langlands' early work leading up the Langlands Program for mathematicians and advanced students.

Geometric Aspects Of The Trace Formula

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Author : Werner Müller
language : en
Publisher: Springer
Release Date : 2018-10-11

Geometric Aspects Of The Trace Formula written by Werner Müller and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-11 with Mathematics categories.

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.

Ottawa Lectures On Admissible Representations Of Reductive P Adic Groups

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Author : Clifton Cunningham
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-01-01

Ottawa Lectures On Admissible Representations Of Reductive P Adic Groups written by Clifton Cunningham and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-01 with Mathematics categories.

Derived Langlands Monomial Resolutions Of Admissible Representations

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Author : Victor P Snaith
language : en
Publisher: World Scientific
Release Date : 2018-12-06

Derived Langlands Monomial Resolutions Of Admissible Representations written by Victor P Snaith and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-06 with Mathematics categories.

The Langlands Programme is one of the most important areas in modern pure mathematics. The importance of this volume lies in its potential to recast many aspects of the programme in an entirely new context. For example, the morphisms in the monomial category of a locally p-adic Lie group have a distributional description, due to Bruhat in his thesis. Admissible representations in the programme are often treated via convolution algebras of distributions and representations of Hecke algebras. The monomial embedding, introduced in this book, elegantly fits together these two uses of distribution theory. The author follows up this application by giving the monomial category treatment of the Bernstein Centre, classified by Deligne-Bernstein-Zelevinsky.This book gives a new categorical setting in which to approach well-known topics. Therefore, the context used to explain examples is often the more generally accessible case of representations of finite general linear groups. For example, Galois base-change and epsilon factors for locally p-adic Lie groups are illustrated by the analogous Shintani descent and Kondo-Gauss sums, respectively. General linear groups of local fields are emphasized. However, since the philosophy of this book is essentially that of homotopy theory and algebraic topology, it includes a short appendix showing how the buildings of Bruhat-Tits, sufficient for the general linear group, may be generalised to the tom Dieck spaces (now known as the Baum-Connes spaces) when G is a locally p-adic Lie group.The purpose of this monograph is to describe a functorial embedding of the category of admissible k-representations of a locally profinite topological group G into the derived category of the additive category of the admissible k-monomial module category. Experts in the Langlands Programme may be interested to learn that when G is a locally p-adic Lie group, the monomial category is closely related to the category of topological modules over a sort of enlarged Hecke algebra with generators corresponding to characters on compact open modulo the centre subgroups of G. Having set up this functorial embedding, how the ingredients of the celebrated Langlands Programme adapt to the context of the derived monomial module category is examined. These include automorphic representations, epsilon factors and L-functions, modular forms, Weil-Deligne representations, Galois base change and Hecke operators.

Automorphic Forms Beyond Mathrm Gl 2

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Author : Ellen Elizabeth Eischen
language : en
Publisher: American Mathematical Society
Release Date : 2024-03-26

Automorphic Forms Beyond Mathrm Gl 2 written by Ellen Elizabeth Eischen and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-26 with Mathematics categories.

The Langlands program has been a very active and central field in mathematics ever since its conception over 50 years ago. It connects number theory, representation theory and arithmetic geometry, and other fields in a profound way. There are nevertheless very few expository accounts beyond the GL(2) case. This book features expository accounts of several topics on automorphic forms on higher rank groups, including rationality questions on unitary group, theta lifts and their applications to Arthur's conjectures, quaternionic modular forms, and automorphic forms over functions fields and their applications to inverse Galois problems. It is based on the lecture notes prepared for the twenty-fifth Arizona Winter School on “Automorphic Forms beyond GL(2)”, held March 5–9, 2022, at the University of Arizona in Tucson. The speakers were Ellen Eischen, Wee Teck Gan, Aaron Pollack, and Zhiwei Yun. The exposition of the book is in a style accessible to students entering the field. Advanced graduate students as well as researchers will find this a valuable introduction to various important and very active research areas.