Classification Of Regular Holonomic D Modules
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Classification Of Regular Holonomic D Modules
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Author : Marinus Gerardus Maria van Doorn
language : nl
Publisher:
Release Date : 1987
Classification Of Regular Holonomic D Modules written by Marinus Gerardus Maria van Doorn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
D Modules And Microlocal Calculus
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Author : Masaki Kashiwara
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
D Modules And Microlocal Calculus written by Masaki Kashiwara 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 2003 with Mathematics categories.
Masaki Kashiwara is undoubtedly one of the masters of the theory of $D$-modules, and he has created a good, accessible entry point to the subject. The theory of $D$-modules is a very powerful point of view, bringing ideas from algebra and algebraic geometry to the analysis of systems of differential equations. It is often used in conjunction with microlocal analysis, as some of the important theorems are best stated or proved using these techniques. The theory has been used very successfully in applications to representation theory. Here, there is an emphasis on $b$-functions. These show up in various contexts: number theory, analysis, representation theory, and the geometry and invariants of prehomogeneous vector spaces. Some of the most important results on $b$-functions were obtained by Kashiwara. A hot topic from the mid '70s to mid '80s, it has now moved a bit more into the mainstream. Graduate students and research mathematicians will find that working on the subject in the two-decade interval has given Kashiwara a very good perspective for presenting the topic to the general mathematical public.
Regular And Irregular Holonomic D Modules
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Author : Masaki Kashiwara
language : en
Publisher:
Release Date : 2016
Regular And Irregular Holonomic D Modules written by Masaki Kashiwara and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with D-modules categories.
Algebraic D Modules
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Author : Armand Borel
language : en
Publisher:
Release Date : 1987
Algebraic D Modules written by Armand Borel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.
Presented here are recent developments in the algebraic theory of D-modules. The book contains an exposition of the basic notions and operations of D-modules, of special features of coherent, holonomic, and regular holonomic D-modules, and of the Riemann-Hilbert correspondence. The theory of Algebraic D-modules has found remarkable applications outside of analysis proper, in particular to infinite dimensional representations of semisimple Lie groups, to representations of Weyl groups, and to algebraic geometry.
D Modules On The Representation Of Sp 2 N C X Gl 2 C
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Author : Philibert Nang
language : en
Publisher:
Release Date : 2012
D Modules On The Representation Of Sp 2 N C X Gl 2 C written by Philibert Nang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.
We give an algebraic classification of regular holonomic D-modules on (C2n)2 related to the action of the group Sp(2n;C) x GL(2;C) product of the symplectic linear transformations group by the general linear group.
Regular And Irregular Holonomic D Modules
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Author : Masaki Kashiwara
language : en
Publisher: Cambridge University Press
Release Date : 2016-05-26
Regular And Irregular Holonomic D Modules written by Masaki Kashiwara 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 2016-05-26 with Mathematics categories.
A unified treatment of the Riemann-Hilbert correspondence for (not necessarily regular) holonomic D-modules using indsheaves.
Analytic D Modules And Applications
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Author : Jan-Erik Björk
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Analytic D Modules And Applications written by Jan-Erik Björk 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 2013-06-29 with Mathematics categories.
This is the first monograph to be published on analytic D-modules and it offers a complete and systematic treatment of the foundations together with a thorough discussion of such modern topics as the Riemann--Hilbert correspondence, Bernstein--Sata polynomials and a large variety of results concerning microdifferential analysis. Analytic D-module theory studies holomorphic differential systems on complex manifolds. It brings new insight and methods into many areas, such as infinite dimensional representations of Lie groups, asymptotic expansions of hypergeometric functions, intersection cohomology on Kahler manifolds and the calculus of residues in several complex variables. The book contains seven chapters and has an extensive appendix which is devoted to the most important tools which are used in D-module theory. This includes an account of sheaf theory in the context of derived categories, a detailed study of filtered non-commutative rings and homological algebra, and the basic material in symplectic geometry and stratifications on complex analytic sets. For graduate students and researchers.
D Modules Perverse Sheaves And Representation Theory
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Author : Ryoshi Hotta
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-11-07
D Modules Perverse Sheaves And Representation Theory written by Ryoshi Hotta 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 2007-11-07 with Mathematics categories.
D-modules continues to be an active area of stimulating research in such mathematical areas as algebraic, analysis, differential equations, and representation theory. Key to D-modules, Perverse Sheaves, and Representation Theory is the authors' essential algebraic-analytic approach to the theory, which connects D-modules to representation theory and other areas of mathematics. To further aid the reader, and to make the work as self-contained as possible, appendices are provided as background for the theory of derived categories and algebraic varieties. The book is intended to serve graduate students in a classroom setting and as self-study for researchers in algebraic geometry, representation theory.
The Langlands Classification And Irreducible Characters For Real Reductive Groups
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Author : J. Adams
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Langlands Classification And Irreducible Characters For Real Reductive Groups written by J. Adams 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.
This monograph explores the geometry of the local Langlands conjecture. The conjecture predicts a parametrizations of the irreducible representations of a reductive algebraic group over a local field in terms of the complex dual group and the Weil-Deligne group. For p-adic fields, this conjecture has not been proved; but it has been refined to a detailed collection of (conjectural) relationships between p-adic representation theory and geometry on the space of p-adic representation theory and geometry on the space of p-adic Langlands parameters. This book provides and introduction to some modern geometric methods in representation theory. It is addressed to graduate students and research workers in representation theory and in automorphic forms.
D Modules And Microlocal Geometry
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Author : Masaki Kashiwara
language : en
Publisher: Walter de Gruyter
Release Date : 2011-06-15
D Modules And Microlocal Geometry written by Masaki Kashiwara 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 2011-06-15 with Mathematics categories.
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.