Representations Of Reductive P Adic Groups

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Representations Of Reductive P Adic Groups

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Author : Anne-Marie Aubert
language : en
Publisher: Springer
Release Date : 2019-04-16

Representations Of Reductive P Adic Groups written by Anne-Marie Aubert and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-16 with Mathematics categories.

This book consists of survey articles and original research papers in the representation theory of reductive p-adic groups. In particular, it includes a survey by Anne-Marie Aubert on the enormously influential local Langlands conjectures. The survey gives a precise and accessible formulation of many aspects of the conjectures, highlighting recent refinements, due to the author and her collaborators, and their current status. It also features an extensive account by Colin Bushnell of his work with Henniart on the fine structure of the local Langlands correspondence for general linear groups, beginning with a clear overview of Bushnell–Kutzko’s construction of cuspidal types for such groups. The remaining papers touch on a range of topics in this active area of modern mathematics: group actions on root data, explicit character formulas, classification of discrete series representations, unicity of types, local converse theorems, completions of Hecke algebras, p-adic symmetric spaces. All meet a high level of exposition. The book should be a valuable resource to graduate students and experienced researchers alike.

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.

Representations Of Real And P Adic Groups

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Author : Eng-chye Tan
language : en
Publisher: World Scientific
Release Date : 2004-04-15

Representations Of Real And P Adic Groups written by Eng-chye Tan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-15 with Mathematics categories.

The Institute for Mathematical Sciences at the National University of Singapore hosted a research program on “Representation Theory of Lie Groups” from July 2002 to January 2003. As part of the program, tutorials for graduate students and junior researchers were given by leading experts in the field.This invaluable volume collects the expanded lecture notes of those tutorials. The topics covered include uncertainty principles for locally compact abelian groups, fundamentals of representations of p-adic groups, the Harish-Chandra-Howe local character expansion, classification of the square-integrable representations modulo cuspidal data, Dirac cohomology and Vogan's conjecture, multiplicity-free actions and Schur-Weyl-Howe duality.The lecturers include Tomasz Przebinda from the University of Oklahoma, USA; Gordan Savin from the University of Utah, USA; Stephen DeBacker from Harvard University, USA; Marko Tadić from the University of Zagreb, Croatia; Jing-Song Huang from The Hong Kong University of Science and Technology, Hong Kong; Pavle Pandǽić from the University of Zagreb, Croatia; Chal Benson and Gail Ratcliff from East Carolina University, USA; and Roe Goodman from Rutgers University, USA.

Harmonic Analysis On Reductive P Adic Groups

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Author : B. Harish-Chandra
language : en
Publisher: Springer
Release Date : 2006-11-15

Harmonic Analysis On Reductive P Adic Groups written by B. Harish-Chandra and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.

On The Unicity Of Types For Representations Of Reductive P Adic Groups

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Author : Peter Latham
language : en
Publisher:
Release Date : 2016

On The Unicity Of Types For Representations Of Reductive P Adic Groups written by Peter Latham and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.

Automorphic Forms Representations And L Functions

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Author : Armand Borel
language : en
Publisher: American Mathematical Soc.
Release Date : 1979-06-30

Automorphic Forms Representations And L Functions written by Armand Borel 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 1979-06-30 with Mathematics categories.

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

Representation Theory Of Finite Reductive Groups

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Author : Marc Cabanes
language : en
Publisher: Cambridge University Press
Release Date : 2004-01-29

Representation Theory Of Finite Reductive Groups written by Marc Cabanes 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 2004-01-29 with Mathematics categories.

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Continuous Cohomology Discrete Subgroups And Representations Of Reductive Groups

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Author : Armand Borel
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-11-21

Continuous Cohomology Discrete Subgroups And Representations Of Reductive Groups written by Armand Borel 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 2013-11-21 with Mathematics categories.

It has been nearly twenty years since the first edition of this work. In the intervening years, there has been immense progress in the use of homological algebra to construct admissible representations and in the study of arithmetic groups. This second edition is a corrected and expanded version of the original, which was an important catalyst in the expansion of the field. Besides the fundamental material on cohomology and discrete subgroups present in the first edition, this edition also contains expositions of some of the most important developments of the last two decades.

Harmonic Analysis On Reductive P Adic Groups

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Author : Robert S. Doran, Paul J. Sally, Jr., and Loren Spice
language : en
Publisher: American Mathematical Soc.
Release Date : 2011

Harmonic Analysis On Reductive P Adic Groups written by Robert S. Doran, Paul J. Sally, Jr., and Loren Spice 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 2011 with Harmonic analysis categories.

Geometry And Representation Theory Of Real And P Adic Groups

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Author : Juan Tirao
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Geometry And Representation Theory Of Real And P Adic Groups written by Juan Tirao and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

The representation theory of Lie groups plays a central role in both clas sical and recent developments in many parts of mathematics and physics. In August, 1995, the Fifth Workshop on Representation Theory of Lie Groups and its Applications took place at the Universidad Nacional de Cordoba in Argentina. Organized by Joseph Wolf, Nolan Wallach, Roberto Miatello, Juan Tirao, and Jorge Vargas, the workshop offered expository courses on current research, and individual lectures on more specialized topics. The present vol ume reflects the dual character of the workshop. Many of the articles will be accessible to graduate students and others entering the field. Here is a rough outline of the mathematical content. (The editors beg the indulgence of the readers for any lapses in this preface in the high standards of historical and mathematical accuracy that were imposed on the authors of the articles. ) Connections between flag varieties and representation theory for real re ductive groups have been studied for almost fifty years, from the work of Gelfand and Naimark on principal series representations to that of Beilinson and Bernstein on localization. The article of Wolf provides a detailed introduc tion to the analytic side of these developments. He describes the construction of standard tempered representations in terms of square-integrable partially harmonic forms (on certain real group orbits on a flag variety), and outlines the ingredients in the Plancherel formula. Finally, he describes recent work on the complex geometry of real group orbits on partial flag varieties.