On The Unicity Of Types For Representations Of Reductive P Adic Groups
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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.
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.
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.
Representations Of Reductive P Adic Groups
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Author : Anne-Marie Aubert
language : en
Publisher: Birkhäuser
Release Date : 2019-06-04
Representations Of Reductive P Adic Groups written by Anne-Marie Aubert and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-04 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.
Around Langlands Correspondences
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Author : Farrell Brumley
language : en
Publisher: American Mathematical Soc.
Release Date : 2017
Around Langlands Correspondences written by Farrell Brumley 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 2017 with Mathematics categories.
Presents, through a mix of research and expository articles, some of the fascinating new directions in number theory and representation theory arising from recent developments in the Langlands program. Special emphasis is placed on nonclassical versions of the conjectural Langlands correspondences, where the underlying field is no longer the complex numbers.
Nonarchimedean Functional Analysis
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Author : Peter Schneider
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Nonarchimedean Functional Analysis written by Peter Schneider 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 2013-03-09 with Mathematics categories.
This book grew out of a course which I gave during the winter term 1997/98 at the Universitat Munster. The course covered the material which here is presented in the first three chapters. The fourth more advanced chapter was added to give the reader a rather complete tour through all the important aspects of the theory of locally convex vector spaces over nonarchimedean fields. There is one serious restriction, though, which seemed inevitable to me in the interest of a clear presentation. In its deeper aspects the theory depends very much on the field being spherically complete or not. To give a drastic example, if the field is not spherically complete then there exist nonzero locally convex vector spaces which do not have a single nonzero continuous linear form. Although much progress has been made to overcome this problem a really nice and complete theory which to a large extent is analogous to classical functional analysis can only exist over spherically complete field8. I therefore allowed myself to restrict to this case whenever a conceptual clarity resulted. Although I hope that thi8 text will also be useful to the experts as a reference my own motivation for giving that course and writing this book was different. I had the reader in mind who wants to use locally convex vector spaces in the applications and needs a text to quickly gra8p this theory.
Fundamental Algebraic Geometry
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Author : Barbara Fantechi
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Fundamental Algebraic Geometry written by Barbara Fantechi 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 2005 with Mathematics categories.
Presents an outline of Alexander Grothendieck's theories. This book discusses four main themes - descent theory, Hilbert and Quot schemes, the formal existence theorem, and the Picard scheme. It is suitable for those working in algebraic geometry.
Gauss Sums Kloosterman Sums And Monodromy Groups
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Author : Nicholas M. Katz
language : en
Publisher: Princeton University Press
Release Date : 1988
Gauss Sums Kloosterman Sums And Monodromy Groups written by Nicholas M. Katz and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.
The study of exponential sums over finite fields, begun by Gauss nearly two centuries ago, has been completely transformed in recent years by advances in algebraic geometry, culminating in Deligne's work on the Weil Conjectures. It now appears as a very attractive mixture of algebraic geometry, representation theory, and the sheaf-theoretic incarnations of such standard constructions of classical analysis as convolution and Fourier transform. The book is simultaneously an account of some of these ideas, techniques, and results, and an account of their application to concrete equidistribution questions concerning Kloosterman sums and Gauss sums.
Periods Of Hecke Characters
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Author : Norbert Schappacher
language : en
Publisher: Springer
Release Date : 2006-11-14
Periods Of Hecke Characters written by Norbert Schappacher 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.
The starting point of this Lecture Notes volume is Deligne's theorem about absolute Hodge cycles on abelian varieties. Its applications to the theory of motives with complex multiplication are systematically reviewed. In particular, algebraic relations between values of the gamma function, the so-called formula of Chowla and Selberg and its generalization and Shimura's monomial relations among periods of CM abelian varieties are all presented in a unified way, namely as the analytic reflections of arithmetic identities beetween Hecke characters, with gamma values corresponding to Jacobi sums. The last chapter contains a special case in which Deligne's theorem does not apply.
The Shaping Of Arithmetic After C F Gauss S Disquisitiones Arithmeticae
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Author : Catherine Goldstein
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-02-03
The Shaping Of Arithmetic After C F Gauss S Disquisitiones Arithmeticae written by Catherine Goldstein 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 2007-02-03 with Mathematics categories.
Since its publication, C.F. Gauss's Disquisitiones Arithmeticae (1801) has acquired an almost mythical reputation, standing as an ideal of exposition in notation, problems and methods; as a model of organisation and theory building; and as a source of mathematical inspiration. Eighteen authors - mathematicians, historians, philosophers - have collaborated in this volume to assess the impact of the Disquisitiones, in the two centuries since its publication.