WorldCat Identities

Schapira, Pierre 1943-

Overview
Works: 55 works in 225 publications in 5 languages and 3,541 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor
Classifications: QA612.36, 514.224
Publication Timeline
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Most widely held works by Pierre Schapira
Sheaves on manifolds by Masaki Kashiwara( Book )

24 editions published between 1990 and 2002 in 4 languages and held by 454 WorldCat member libraries worldwide

From the reviews: This book is devoted to the study of sheaves by microlocal methods..(it) may serve as a reference source as well as a textbook on this new subject. Houzel's historical overview of the development of sheaf theory will identify important landmarks for students and will be a pleasure to read for specialists. Math. Reviews 92a (1992). The book is clearly and precisely written, and contains many interesting ideas: it describes a whole, largely new branch of mathematics.(...)The book can be strongly recommended to a younger mathematician enthusiastic to assimilate a new range of techniques allowing flexible application to a wide variety of problems. Bull. L.M.S. (1992)
Théorie des hyperfonctions by Pierre Schapira( Book )

35 editions published between 1970 and 2008 in 5 languages and held by 435 WorldCat member libraries worldwide

Microdifferential systems in the complex domain by Pierre Schapira( Book )

20 editions published between 1984 and 2012 in English and German and held by 419 WorldCat member libraries worldwide

The words "microdifferential systems in the complex domain" refer to seve ral branches of mathematics: micro local analysis, linear partial differential equations, algebra, and complex analysis. The microlocal point of view first appeared in the study of propagation of singularities of differential equations, and is spreading now to other fields of mathematics such as algebraic geometry or algebraic topology. How ever it seems that many analysts neglect very elementary tools of algebra, which forces them to confine themselves to the study of a single equation or particular square matrices, or to carryon heavy and non-intrinsic formula tions when studying more general systems. On the other hand, many alge braists ignore everything about partial differential equations, such as for example the "Cauchy problem", although it is a very natural and geometri cal setting of "inverse image". Our aim will be to present to the analyst the algebraic methods which naturally appear in such problems, and to make available to the algebraist some topics from the theory of partial differential equations stressing its geometrical aspects. Keeping this goal in mind, one can only remain at an elementary level
Categories and sheaves by Masaki Kashiwara( Book )

22 editions published between 2005 and 2011 in English and held by 344 WorldCat member libraries worldwide

Categories and sheaves, which emerged in the middle of the last century as an enrichment for the concepts of sets and functions, appear almost everywhere in mathematics nowadays. This book covers categories, homological algebra and sheaves in a systematic and exhaustive manner starting from scratch, and continues with full proofs to an exposition of the most recent results in the literature, and sometimes beyond. The authors present the general theory of categories and functors, emphasising inductive and projective limits, tensor categories, representable functors, ind-objects and localization. Then they study homological algebra including additive, abelian, triangulated categories and also unbounded derived categories using transfinite induction and accessible objects. Finally, sheaf theory as well as twisted sheaves and stacks appear in the framework of Grothendieck topologies
Ind-sheaves by Masaki Kashiwara( Book )

12 editions published between 1999 and 2001 in English and French and held by 188 WorldCat member libraries worldwide

Deformation quantization modules by Masaki Kashiwara( Book )

8 editions published in 2012 in English and held by 174 WorldCat member libraries worldwide

Microlocal study of sheaves by Masaki Kashiwara( Book )

15 editions published between 1984 and 1985 in English and French and held by 167 WorldCat member libraries worldwide

Index theorem for elliptic pairs by Pierre Schapira( Book )

12 editions published in 1994 in 3 languages and held by 160 WorldCat member libraries worldwide

Moderate and formal cohomology associated with constructible sheaves by Masaki Kashiwara( Book )

9 editions published in 1996 in English and French and held by 104 WorldCat member libraries worldwide

D-modules and microlocal geometry : proceedings of the International Conference on D-Modules and Microlocal Geometry, held at the University of Lisbon (Portugal), October 29-November 2, 1990 by International Conference on D-modules and Microlocal Geometry( Book )

7 editions published between 1992 and 1993 in English and held by 94 WorldCat member libraries worldwide

Introduction to microlocal analysis by Masaki Kashiwara( Book )

5 editions published between 1984 and 1985 in English and held by 9 WorldCat member libraries worldwide

Cohomolgie de Spencer (d'après Quillen) by B Malgrange( Book )

1 edition published in 1966 in French and held by 8 WorldCat member libraries worldwide

Utilisation des ultra-distributions et des hyperfonctions dans l'étude des équations aux dérivées partielles by Pierre Schapira( Book )

4 editions published between 1969 and 1970 in French and held by 7 WorldCat member libraries worldwide

D-modules, representation theory, and quantum groups : lectures given at the 2nd session of the Centro internazionale matematico estivo (C.I.M.E.) held in Venezia, Italy, June 12-20, 1992 by L Boutet de Monvel( Book )

3 editions published in 1993 in English and held by 5 WorldCat member libraries worldwide

CONTENTS: L. Boutet de Monvel: Indice de systemes differentiels.- C. De Concini, C. Procesi: Quantum groups.- P. Schapira, J.P. Schneiders: Index theorems for R-constructible sheaves and for D-modules.- N. Berline, M. Vergne: The equivariant Chern character and index of G-invariant operators
Classe de Lefschetz des paires elliptiques by Stéphane Guillermou( Book )

1 edition published in 1995 in French and held by 4 WorldCat member libraries worldwide

A LA DONNEE D'UNE VARIETE ANALYTIQUE COMPLEXE, D'UNE PAIRE ELLIPTIQUE SUR CETTE VARIETE (I.E. UN D-MODULE ET UN FAISCEAU CONSTRUCTIBLE DONT LES VARIETES CARACTERISTIQUES N'ONT PAS D'INTERSECTION HORS DE LA SECTION NULLE DU FIBRE COTANGENT), D'UN MORPHISME DE CETTE VARIETE DANS ELLE-MEME ET D'UN RELEVE DE CE MORPHISME POUR LA PAIRE ELLIPTIQUE NOUS ASSOCIONS UNE CLASSE DE COHOMOLOGIE MICROLOCALE. NOUS MONTRONS UNE FORMULE D'IMAGE DIRECTE RELATIVE ET UNE FORMULE DE PRODUIT POUR CETTE CLASSE, NOUS LA CALCULONS DANS LE CAS TRANSVERSE ET EN ETUDIONS DES DEFORMATIONS. CECI PERMET EN PARTICULIER DE RETROUVER LA FORMULE DE LEFSCHETZ DES COMPLEXES ELLIPTIQUES DE M. ATIYAH ET R. BOTT
COHOMOLOGIE FORMELLE. TRANSFORMATION DE LAPLACE by OLIVIER BERNI( Book )

1 edition published in 1999 in English and held by 4 WorldCat member libraries worldwide

POUR RESOUDRE LE PROBLEME DE RIEMANN-HILBERT, M. KASHIWARA INTRODUIT LE FONCTEUR DE COHOMOLOGIE TEMPEREE QUI ECHANGE LES FAISCEAUX PERVERS ET LES D-MODULES HOLONOMES. EN 1995, M. KASHIWARA ET P. SCHAPIRA INTRODUISENT LE FONCTEUR DE COHOMOLOGIE FORMELLE, DUAL EN UN CERTAIN SENS DU PRECEDENT. DANS LA PREMIERE PARTIE DE LA THESE, NOUS MONTRONS UN THEOREME D'ANNULATION : SUR UNE VARIETE COMPLEXE DE STEIN, LES SECTIONS GLOBALES A SUPPORT COMPACT DU FONCTEUR DE COHOMOLOGIE FORMELLE ASSOCIE A UN FAISCEAU PERVERS SONT CONCENTREES EN DEGRE. LA PREUVE UTILISE DES RESULTATS DE SIU ET HORMANDER, ET LA DUALITE DANS LES CATEGORIES DERIVEES DES ESPACES VECTORIELS TOPOLOGIQUES. NOUS MONTRONS D'ABORD LA PLATITUDE DU FAISCEAU DES FONCTIONS HOLOMORPHES TEMPEREES SUR UN OUVERT DE STEIN SOUS-ANALYTIQUE RELATIVEMENT COMPACT DE X. PUIS NOUS MONTRONS UNE VERSION TEMPEREE DU THEOREME B DE CARTAN. DANS LA DEUXIEME PARTIE, NOUS MONTRONS LA STABILITE SOUS LA TRANSFORMATION DE LAPLACE DU FAISCEAU CONIQUE DES FONCTIONS HOLOMORPHES TEMPEREES (A L'ORIGINE ET A L'INFINI) SUR UN ESPACE VECTORIEL COMPLEXE. NOUS UTILISONS LE RESULTAT CONNU : LA TRANSFORMATION DE LAPLACE ECHANGE L'ESPACE DES DISTRIBUTIONS TEMPEREES DE SUPPORT CONTENU DANS UN CONE CONVEXE FERME D'UN ESPACE VECTORIEL REEL ET L'ESPACE DES FONCTIONS HOLOMORPHES TEMPEREES SUR LE TUBE DUAL. NOUS RETROUVONS ALORS LE THEOREME DE BRYLINSKI-MALGRANGE-VERDIER QUI ETABLIT LA CORRESPONDANCE ENTRE LE TRANSFORMEE DE FOURIER GEOMETRIQUE DES SOLUTIONS D'UN D-MODULE DE TYPE FINI MONODROMIQUE ET LES SOLUTIONS DE SON TRANSFORME DE FOURIER FORMEL
Images inverses des modules differentiels by Y Laurent( Book )

2 editions published in 1985 in French and held by 3 WorldCat member libraries worldwide

An inverse image theorem for sheaves with applications to the Cauchy problem by A D'Agnolo( Book )

2 editions published in 1990 in English and held by 3 WorldCat member libraries worldwide

La dualité de Grassmann pour les D-modules by Corrado Marastoni( Book )

1 edition published in 1997 in English and held by 3 WorldCat member libraries worldwide

CETTE THESE PORTE SUR LA GENERALISATION DES PROPRIETES DE LA DUALITE PROJECTIVE (LA CORRESPONDANCE ENTRE UN ESPACE PROJECTIF COMPLEXE ET L'ESPACE PROJECTIF DUAL, VOIR BRYLINSKI, ASTERISQUE SMF '86, D'AGNOLO-SCHAPIRA ET KASHIWARA-TANISAKI, DUKE '96) AU CAS DE LA RELATION D'INCIDENCE ENTRE DEUX VARIETES DE GRASSMANN DE SOUS-ESPACES DE DIMENSIONS COMPLEMENTAIRES DANS UN ESPACE VECTORIEL COMPLEXE FIXE. LE PROBLEME MAJEUR DU CAS GENERAL EST LA NON-REGULARITE DE LA VARIETE FERMEE D'INCIDENCE DANS LE PRODUIT, CE QUI CONDUIT A CONSIDERER PLUTOT L'OUVERT COMPLEMENTAIRE. DANS LE LANGAGE DES TRANSFORMATIONS INTEGRALES DANS LES CATEGORIES DERIVEES DE FAISCEAUX ET D-MODULES, NOUS MONTRONS QUE LES TRANSFORMATIONS INDUITES PAR LES NOYAUX ASSOCIES A CET OUVERT SONT INVERSIBLES, ET DEFINISSENT DONC DES EQUIVALENCES ENTRE LES FAISCEAUX ET LES D-MODULES DES DEUX COTES. ENSUITE, A L'AIDE DE LA THEORIE DES B-FONCTIONS (BERNSTEIN, SATO, KASHIWARA ET AL.) ET CELLE DES TRANSFORMATIONS DE CONTACT QUANTIFIEES AU SENS DE SATO-KAWAI-KASHIWARA, SPRINGER LNM '73), NOUS OBTENONS LA DESCRIPTION EXPLICITE DE LA TRANSFORMEE D'UN D-MODULE ASSOCIE A UN FIBRE HOLOMORPHE EN DROITES. PLUSIEURS APPLICATIONS DE CE RESULTAT SONT OBTENUES A PARTIR DES FORMULES D'ADJONCTION DUES A D'AGNOLO-SCHAPIRA, LOC.CIT. ET KASHIWARA-SCHAPIRA, MEMOIRE SMF '96. LA THESE EST ECRITE EN ANGLAIS, AVEC UNE VERSION ABREGEE EN FRANCAIS ET UN APPENDICE CONSACRE AUX FONDEMENTS DE LA THEORIE DES B-FONCTIONS (D'APRES UNE SERIE DE COMMUNICATIONS AVEC MASAKI KASHIWARA, NOTEES ET REVISEES EN COLLABORATION AVEC ANDREA D'AGNOLO). LES RESULTATS PRINCIPAUX ONT ETE ANNONCES DANS DEUX NOTES AUX COMPTES RENDUS DE L'ACADEMIE DES SCIENCES DE PARIS, TOME 322 ('96) ET 324 ('97). REFERENCES BIBLIOGRAPHIQUES : 18
Two vanishing theorems for microfunction solutions of D-modules by Pierre Schapira( Book )

2 editions published in 1990 in English and held by 3 WorldCat member libraries worldwide

 
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Audience level: 0.69 (from 0.34 for D-modules ... to 0.97 for Utilisatio ...)

Sheaves on manifolds
Alternative Names
Pierre Schapira Frans wiskundige

Pierre Schapira fransk matematikar

Pierre Schapira fransk matematiker

Pierre Schapira französischer Mathematiker

Pierre Schapira French mathematician

Šapira, P.

Šapira, P. 1943-

Šapira, P'er.

Schapira, P.

Schapira, P. 1943-

Schapira, P. (Pierre), 1943-

Languages
English (135)

French (36)

German (5)

Russian (4)

Italian (1)

Covers
Théorie des hyperfonctionsCategories and sheavesD-modules, representation theory, and quantum groups : lectures given at the 2nd session of the Centro internazionale matematico estivo (C.I.M.E.) held in Venezia, Italy, June 12-20, 1992