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MathPhys odyssey 2001, integrable models and beyond: Festschrift McCoy (Barry M)

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 equ...

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Detalles Bibliográficos
Autores principales: Kashiwara, Masaki, Miwa, Tetsuji
Lenguaje:eng
Publicado: Birkhäuser 2002
Materias:
Acceso en línea:http://cds.cern.ch/record/828051
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author Kashiwara, Masaki
Miwa, Tetsuji
author_facet Kashiwara, Masaki
Miwa, Tetsuji
author_sort Kashiwara, Masaki
collection CERN
description 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.
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spelling cern-8280512021-04-22T02:24:21Zhttp://cds.cern.ch/record/828051engKashiwara, MasakiMiwa, TetsujiMathPhys odyssey 2001, integrable models and beyond: Festschrift McCoy (Barry M)Mathematical Physics and MathematicsMasaki 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.Birkhäuseroai:cds.cern.ch:8280512002
spellingShingle Mathematical Physics and Mathematics
Kashiwara, Masaki
Miwa, Tetsuji
MathPhys odyssey 2001, integrable models and beyond: Festschrift McCoy (Barry M)
title MathPhys odyssey 2001, integrable models and beyond: Festschrift McCoy (Barry M)
title_full MathPhys odyssey 2001, integrable models and beyond: Festschrift McCoy (Barry M)
title_fullStr MathPhys odyssey 2001, integrable models and beyond: Festschrift McCoy (Barry M)
title_full_unstemmed MathPhys odyssey 2001, integrable models and beyond: Festschrift McCoy (Barry M)
title_short MathPhys odyssey 2001, integrable models and beyond: Festschrift McCoy (Barry M)
title_sort mathphys odyssey 2001, integrable models and beyond: festschrift mccoy (barry m)
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/828051
work_keys_str_mv AT kashiwaramasaki mathphysodyssey2001integrablemodelsandbeyondfestschriftmccoybarrym
AT miwatetsuji mathphysodyssey2001integrablemodelsandbeyondfestschriftmccoybarrym