Grothendieck, A. (Alexandre)
Overview
Works:  322 works in 1,499 publications in 9 languages and 11,859 library holdings 

Genres:  Records and correspondence Conference papers and proceedings Sources History Biography 
Roles:  Author, Editor, Publishing director, Honoree, Organizer of meeting, Director, Other, coo, Dedicatee, Author of afterword, colophon, etc., ed, Contributor 
Classifications:  QA3, 516.35 
Publication Timeline
.
Most widely held works about
A Grothendieck
 Residues and duality; lecture notes of a seminar on the work of A. Grothendieck, given at Harvard 1963/64 by Robin Hartshorne( Book )
 GrothendieckSerre correspondence by A Grothendieck( Book )
 The Grothendieck Festschrift : a collection of articles written in honor of the 60th birthday of Alexander Grothendieck by P Cartier( Book )
 Alexandre Grothendieck : a mathematical portrait by Leila Schneps( Book )
 Who is Alexander Grothendieck? : anarchy, mathematics, spirituality, solitude : a biography by Winfried Scharlau( Book )
 Récoltes et semailles réflexions et témoignage sur un passé de mathématicien by A Grothendieck( Book )
 Sur la proreprésentabilité de certains foncteurs en géométrie algébrique by Jacob P Murre( Book )
 Alexandre Grothendieck Itinéraire d'un mathématicien hors normes by Georges Bringuier( Book )
 Alexandre Grothendieck : sur les traces du dernier génie des mathématiques by Philippe Douroux( Book )
 Algèbre : élements de la vie d'Alexandre Grothendieck by Yan Pradeau( Book )
 The story of maths by Marcus Du Sautoy( Visual )
 Groupes de Grothendieck by Italo Giorgiutti( Book )
 The artist and the mathematician : the story of Nicolas Bourbaki, the genius mathematician who never existed by Amir D Aczel( Book )
 Groupe de Grothendieck des schémas en groupes réductifs déployés by JeanPierre Serre( )
 Alexander Grothendieck : sur les routes d'un génie by Catherine Aira( Visual )
 Geometric Galois actions by Leila Schneps( Book )
 To infinity and beyond mathematics in modern times( Visual )
more
fewer
Most widely held works by
A Grothendieck
Topological vector spaces by
A Grothendieck(
Book
)
54 editions published between 1954 and 1992 in 4 languages and held by 641 WorldCat member libraries worldwide
54 editions published between 1954 and 1992 in 4 languages and held by 641 WorldCat member libraries worldwide
Schémas en groupes; séminaire de géométrie algébrique du Bois Marie, 1962/64, SGA 3 by
Michel Demazure(
Book
)
137 editions published between 1963 and 2011 in 4 languages and held by 633 WorldCat member libraries worldwide
137 editions published between 1963 and 2011 in 4 languages and held by 633 WorldCat member libraries worldwide
Éléments de géométrie algébrique by
A Grothendieck(
Book
)
69 editions published between 1960 and 2005 in 4 languages and held by 581 WorldCat member libraries worldwide
69 editions published between 1960 and 2005 in 4 languages and held by 581 WorldCat member libraries worldwide
Revêtements étales et groupe fondamental by
A Grothendieck(
Book
)
57 editions published between 1961 and 2005 in 4 languages and held by 560 WorldCat member libraries worldwide
57 editions published between 1961 and 2005 in 4 languages and held by 560 WorldCat member libraries worldwide
Local cohomology; a seminar by
Robin Hartshorne(
Book
)
38 editions published between 1961 and 1969 in 3 languages and held by 494 WorldCat member libraries worldwide
38 editions published between 1961 and 1969 in 3 languages and held by 494 WorldCat member libraries worldwide
Théorie des topos et cohomologie étale des schémas by
Michael Artin(
Book
)
73 editions published between 1964 and 2015 in 3 languages and held by 478 WorldCat member libraries worldwide
73 editions published between 1964 and 2015 in 3 languages and held by 478 WorldCat member libraries worldwide
The tame fundamental group of a formal neighbourhood of a divisor with normal crossings on a scheme by
A Grothendieck(
Book
)
22 editions published between 1971 and 2008 in 3 languages and held by 442 WorldCat member libraries worldwide
22 editions published between 1971 and 2008 in 3 languages and held by 442 WorldCat member libraries worldwide
Groupes de monodromie en géométrie algébrique by
Pierre Deligne(
Book
)
47 editions published between 1971 and 1973 in 4 languages and held by 405 WorldCat member libraries worldwide
47 editions published between 1971 and 1973 in 4 languages and held by 405 WorldCat member libraries worldwide
Catégories cofibrées additives et complexe cotangent relatif by
A Grothendieck(
Book
)
31 editions published between 1968 and 2006 in 5 languages and held by 401 WorldCat member libraries worldwide
31 editions published between 1968 and 2006 in 5 languages and held by 401 WorldCat member libraries worldwide
Théorie des intersections et théorème de RiemannRoch by
Pierre Berthelot(
Book
)
22 editions published in 1971 in 5 languages and held by 357 WorldCat member libraries worldwide
22 editions published in 1971 in 5 languages and held by 357 WorldCat member libraries worldwide
Cohomologie ladique et fonctions L by
Luc Illusie(
Book
)
25 editions published in 1977 in 4 languages and held by 344 WorldCat member libraries worldwide
25 editions published in 1977 in 4 languages and held by 344 WorldCat member libraries worldwide
Produits tensoriels topologiques et espaces nucleáires by
A Grothendieck(
Book
)
53 editions published between 1953 and 1990 in 3 languages and held by 274 WorldCat member libraries worldwide
53 editions published between 1953 and 1990 in 3 languages and held by 274 WorldCat member libraries worldwide
Eléments de géométrie algébrique by
A Grothendieck(
Book
)
71 editions published between 1960 and 2005 in French and Undetermined and held by 237 WorldCat member libraries worldwide
71 editions published between 1960 and 2005 in French and Undetermined and held by 237 WorldCat member libraries worldwide
Groupes de BarsottiTate et cristaux de Dieudonné by
A Grothendieck(
Book
)
15 editions published between 1974 and 1977 in 3 languages and held by 217 WorldCat member libraries worldwide
15 editions published between 1974 and 1977 in 3 languages and held by 217 WorldCat member libraries worldwide
The Grothendieck Festschrift : a collection of articles written in honor of the 60th birthday of Alexander Grothendieck by
P Cartier(
Book
)
63 editions published between 1990 and 2007 in 4 languages and held by 183 WorldCat member libraries worldwide
The many diverse articles presented in these three volumes, collected on the occasion of Alexander Grothendieck's sixtieth birthday and originally published in 1990, were offered as a tribute to one of the world's greatest living mathematicians. Grothendieck changed the very way we think about many branches of mathematics. Many of his ideas, revolutionary when introduced, now seem so natural as to have been inevitable. Indeed, it is difficult to fully grasp the influence his vast contributions to modern mathematics have subsequently had on new generations of mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject. Topics addressed by these topnotch contributors match the breadth of Grothendieck's own interests, including: functional analysis, algebraic geometry, algebraic topology, number theory, representation theory, Ktheory, category theory, and homological algebra. CONTRIBUTORS to Volume I: A. Altman, M. Artin, V. Balaji, A. Beauville, A.A. Beilinson, P. Berthelot, J.M. Bismut, S. Bloch, L. Breen, J.L. Brylinski, J. Dieudonné, H. Gillet, A.B. Goncharov, K. Kato, S. Kleiman, W. Messing, V.V. Schechtman, C.S. Seshadri, C. Soulé, J. Tate, M. van den Bergh, and A.N. Varchenko
63 editions published between 1990 and 2007 in 4 languages and held by 183 WorldCat member libraries worldwide
The many diverse articles presented in these three volumes, collected on the occasion of Alexander Grothendieck's sixtieth birthday and originally published in 1990, were offered as a tribute to one of the world's greatest living mathematicians. Grothendieck changed the very way we think about many branches of mathematics. Many of his ideas, revolutionary when introduced, now seem so natural as to have been inevitable. Indeed, it is difficult to fully grasp the influence his vast contributions to modern mathematics have subsequently had on new generations of mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject. Topics addressed by these topnotch contributors match the breadth of Grothendieck's own interests, including: functional analysis, algebraic geometry, algebraic topology, number theory, representation theory, Ktheory, category theory, and homological algebra. CONTRIBUTORS to Volume I: A. Altman, M. Artin, V. Balaji, A. Beauville, A.A. Beilinson, P. Berthelot, J.M. Bismut, S. Bloch, L. Breen, J.L. Brylinski, J. Dieudonné, H. Gillet, A.B. Goncharov, K. Kato, S. Kleiman, W. Messing, V.V. Schechtman, C.S. Seshadri, C. Soulé, J. Tate, M. van den Bergh, and A.N. Varchenko
The metric theory of tensor products : Grothendieck's résumé revisited by
Joe Diestel(
Book
)
4 editions published in 2008 in English and held by 164 WorldCat member libraries worldwide
"Grothendieck's Resume is a landmark in functional analysis. Despite having appeared more than a half century ago, its techniques and results are still not widely known nor appreciated. This is due, no doubt, to the fact that Grothendieck included practically no proofs, and the presentation is based on the theory of the very abstract notion of tensor products. This book aims at providing the details of Grothendieck's constructions and laying bare how the important classes of operators are a consequence of the abstract operations on tensor norms. Particular attention is paid to how the classical Banach spaces (C(K)'s, Hilbert spaces, and the spaces of integrable functions) fit naturally within the mosaic that Grothendieck constructed."Jacket
4 editions published in 2008 in English and held by 164 WorldCat member libraries worldwide
"Grothendieck's Resume is a landmark in functional analysis. Despite having appeared more than a half century ago, its techniques and results are still not widely known nor appreciated. This is due, no doubt, to the fact that Grothendieck included practically no proofs, and the presentation is based on the theory of the very abstract notion of tensor products. This book aims at providing the details of Grothendieck's constructions and laying bare how the important classes of operators are a consequence of the abstract operations on tensor norms. Particular attention is paid to how the classical Banach spaces (C(K)'s, Hilbert spaces, and the spaces of integrable functions) fit naturally within the mosaic that Grothendieck constructed."Jacket
A general theory of fibre spaces with structure sheaf by
A Grothendieck(
Book
)
15 editions published between 1955 and 1965 in English and held by 139 WorldCat member libraries worldwide
15 editions published between 1955 and 1965 in English and held by 139 WorldCat member libraries worldwide
Classification des groupes algébriques semisimples / The classification of semisimple algebraic groups by
C Chevalley(
Book
)
19 editions published in 2005 in French and held by 88 WorldCat member libraries worldwide
The third volume of the Collected Works of Claude Chevalley assembles his work on semisimple algebraic groups contained, for the most part, in the notes of the famous "Séminaire Chevalley" held at the Ecole Normale Supérieure in Paris between 1956 and 1958 and written up by participants of the seminar namely, P. Cartier, A. Grothendieck, R. Lazard and J. L. Verdier. These texts have been entirely reset in TeX for this edition, and edited and annotated by Pierre Cartier. Almost 50 years after the original writing, these texts still constitute a choice reference from which to enter and learn this part of the theory of algebraic groups. TOC:Définition des Variétés Algébriques. Schémas des Variétés Algébriques. Groupes Algébriques. Groupes Algébriques Affines Commutatifs. Compléments de Géométrie Algébrique. Les Théorèmes de Structure Fondamentaux pour les Groupes Algébriques Affines. Sousgroupes de Cartan, Eléments Réguliers. Groupes Algébriques Affines de Dimension 1. Espaces Homogènes de Groupes Algébriques. Le Normalisateur d'un Groupe de Borel. Les tores singuliers. Le Groupe de Weyl: Chambres et Réflexions. Racines. Groupes Semisimples: structure de B et de G/B. Groupes finis engendrés par des Réflexions. Les Systèmes Linéaires sur G/B. Les poids dominants. Les Sousgroupes radiciels. Les isogénies. Les Diagrammes de Dynkin. Les groupes de Type An, G2, Cn. Existence d'isogénies. Conclusion. Index
19 editions published in 2005 in French and held by 88 WorldCat member libraries worldwide
The third volume of the Collected Works of Claude Chevalley assembles his work on semisimple algebraic groups contained, for the most part, in the notes of the famous "Séminaire Chevalley" held at the Ecole Normale Supérieure in Paris between 1956 and 1958 and written up by participants of the seminar namely, P. Cartier, A. Grothendieck, R. Lazard and J. L. Verdier. These texts have been entirely reset in TeX for this edition, and edited and annotated by Pierre Cartier. Almost 50 years after the original writing, these texts still constitute a choice reference from which to enter and learn this part of the theory of algebraic groups. TOC:Définition des Variétés Algébriques. Schémas des Variétés Algébriques. Groupes Algébriques. Groupes Algébriques Affines Commutatifs. Compléments de Géométrie Algébrique. Les Théorèmes de Structure Fondamentaux pour les Groupes Algébriques Affines. Sousgroupes de Cartan, Eléments Réguliers. Groupes Algébriques Affines de Dimension 1. Espaces Homogènes de Groupes Algébriques. Le Normalisateur d'un Groupe de Borel. Les tores singuliers. Le Groupe de Weyl: Chambres et Réflexions. Racines. Groupes Semisimples: structure de B et de G/B. Groupes finis engendrés par des Réflexions. Les Systèmes Linéaires sur G/B. Les poids dominants. Les Sousgroupes radiciels. Les isogénies. Les Diagrammes de Dynkin. Les groupes de Type An, G2, Cn. Existence d'isogénies. Conclusion. Index
GrothendieckSerre correspondence by
A Grothendieck(
Book
)
12 editions published between 2001 and 2004 in 3 languages and held by 61 WorldCat member libraries worldwide
12 editions published between 2001 and 2004 in 3 languages and held by 61 WorldCat member libraries worldwide
Geometric Galois actions by
Leila Schneps(
Book
)
6 editions published between 1997 and 2000 in English and German and held by 22 WorldCat member libraries worldwide
Volume 1
6 editions published between 1997 and 2000 in English and German and held by 22 WorldCat member libraries worldwide
Volume 1
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Cartier, P. (Pierre) Other Editor
 Hartshorne, Robin Author
 Demazure, Michel Director Publishing director Organizer of meeting Author Editor
 Illusie, Luc Other Director Editor Author
 Dieudonné, Jean 19061992 Contributor Collector Editor
 Artin, Michael Other Editor Director Author Contributor Collector
 Institut des hautes études scientifiques (Paris, France) Editor
 Murre, Jacob P. 1929 Author
 Harvard University
 Berthelot, Pierre 1943 Author Director
Useful Links
Associated Subjects
Abelian categories Abelian varieties Algebra Algebra, Homological Algebraic topology Algebras, Linear Banach spaces Bourbaki, Nicolas Cantor, Georg, Categories (Mathematics) Complexes Continuum hypothesis Distance geometry Europe Fiber spaces (Mathematics) Finite groups France Functional analysis Functor theory Fundamental groups (Mathematics) Galois theory Generalized spaces Geometry, Algebraic Grothendieck, A.(Alexandre) Group schemes (Mathematics) Group theory Hilbert, David, Homology theory Influence (Literary, artistic, etc.) Intersection theory Ktheory Lfunctions Linear algebraic groups Linear topological spaces Mathematicians Mathematics Moduli theory Nuclear spaces (Functional analysis) Number theory Schemes (Algebraic geometry) Serre, JeanPierre Serre, JeanPierre, Sheaf theory Study skills Tensor products Topological groups Topology Toposes United States Vector analysis
Alternative Names
Aleksandrs Grotendīks
Alexander Grothendieck deutschfranzösischer Mathematiker
Alexander Grothendieck Frans wiskundige
Alexander Grothendieck French mathematician
Alexander Grothendieck matematico apolide
Alexander Grothendieck matematik
Alexander Grothendieck matematyk francuski
Grotendik, A.
Grothendieck, A.
Grothendieck, A. 19282014
Grothendieck, A. (Alexandre)
Grothendieck, Alexander
Grothendieck Alexander 19282014
Grothendieck, Alexandre
Grothendieck, Alexandre 1928
Grothendieck, Alexandre 19282014
Raddatz, Alexander
Αλεξάντερ Γρότντικ
Александар Гротендик
Александр Гротендик
Александр Гротендік
Ալեքսանդր Գրոթենդիկ
אלכסנדר גרותנדיק
ألكسندر غروتينديك
الکساندر گروتندیک
ایلیگزنڈر گروتھنڈائیک
അലക്സാണ്ടർ ഗ്രൊതെൻഡിക് ഗണിതജ്ഞൻ
알렉산더 그로텐디크
アレクサンドル・グロタンディーク
グロタンディエック, A
グロタンディーク, A.
グロタンディーク, アレクサンダー
グロタンディーク, アレクサンドル
亚历山大·格罗滕迪克
戈騰狄
Languages
French
(539)
English (245)
German (27)
Portuguese (5)
Miscellaneous languages (4)
Japanese (2)
Spanish (2)
Multiple languages (2)
Swedish (1)
English (245)
German (27)
Portuguese (5)
Miscellaneous languages (4)
Japanese (2)
Spanish (2)
Multiple languages (2)
Swedish (1)
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