41. Photos - Alexander Grothendieck http://www.math.princeton.edu/~amit/photos/grothendieck/

42. Alexander Grothendieck - Wikipedia, The Free Encyclopedia alexander grothendieck Wikipedia - Translate this page alexander grothendieck. De Wikipedia, la enciclopedia libre. alexandergrothendieck es un matemático judeo-franco-alemán, nacido http://en.wikipedia.org/wiki/Alexander_Grothendieck

Alexander Grothendieck From Wikipedia, the free encyclopedia. Alexander Grothendieck (born March 28 in Berlin ), is one of the leading mathematicians of the twentieth century, with major contributions to algebraic geometry homological algebra , and functional analysis . He was awarded the Fields Medal in and coawarded the Crafoord Prize with Pierre Deligne in . He declined the latter prize on ethical grounds. Because of his mastery of abstract approaches to mathematics, but also because of the many stories told about his retirement and his alleged mental disorders, he is one of the most intriguing scientific personalities of the 20th century Table of contents showTocToggle("show","hide") 1 Mathematical achievements 1.1 Major mathematical topics (from Récoltes et Semailles) 2 Life 2.1 Childhood and studies ... edit Mathematical achievements Homological methods and sheaf theory had already been introduced in algebraic geometry by Jean-Pierre Serre , after sheaves had been invented by Jean Leray . Grothendieck took them to a higher level, changing the tools and the level of abstraction. Amongst his insights, he shifted attention from the study of individual varieties to the

43. Séminaire De Géometrie Algébrique Du Bois Marie-how To Find Bois Marie 1960/61, SGA 1 Par alexander grothendieck Fascicule I, Exposés I http://www.lib.umich.edu/science/math/sga.html

All held on the 4th floor of the Shapiro Science Library at QA 564. P232 Par Alexander Grothendieck Par Alexander Grothendieck Par Mme M. Raynaud Par Michel Demazure, Alexander Grothendieck Par Michel Demazure, Alexander Grothendieck, M. Artin, J.E. Bertin, P. Gabriel, M. Raynaud, J.P. Serre Par Michel Demazure, Alexander Grothendieck, M. Artin, J.E. Bertin, P. Gabriel, M. Raynaud, J.P. Serre Par Michel Demazure, Alexander Grothendieck, M. Artin, J.E. Bertin, P. Gabriel, M. Raynaud, J.P. Serre Par Michel Demazure, Alexander Grothendieck, M. Artin, J.E. Bertin, P. Gabriel, M. Raynaud, J.P. Serre Par Michel Demazure, Alexander Grothendieck, M. Artin, J.E. Bertin, P. Gabriel, M. Raynaud, J.P. Serre Par Michael Artin, Alexander Grothendieck, Jean Verdier Par Michael Artin, Alexander Grothendieck, Jean Verdier Par M. Artin Par A. Grothendieck Par L. Illusie Par A. Grothendieck Par J. P. Jouanolou Par J.P. Jouanolou Par I. Bucur Par Jean-Pierre Serre Par A. Grothendieck Par C. Houzel Par P. Berthelot, A. Grothendieck, L. Illusie Par P. Berthelot, A. Grothendieck, L. Illusie

44. TU Berlin - Medieninformation Nr. 31 - 3. Februar 2004 Translate this page alexander grothendieck - berühmter Mathematiker und Einsiedler. Vortrag von Prof. alexandergrothendieck ist einer der bedeutendsten Mathematiker des 20. http://www.tu-berlin.de/presse/pi/2004/pi31.htm

Medieninformation Nr. 31 - 3. Februar 2004 - Bearbeiter/in: ehr [TU Berlin] [Pressestelle] [Medieninformationen] Vortrag von Prof. Dr. Winfried Scharlau am 17. 2. 2004 an der TU Berlin / Einladung Zeit: am Dienstag, dem 17. Februar 2004, um 16.00 Uhr der TU Berlin, Tel.: 030/314-25730, Fax: -21269, E-Mail: ziegler@math.tu-berlin.de Impressum

45. SGA Links. alexander grothendieck biographical entry; Malgoire s grothendieckpage; The paper From grothendieck to Connes and Kontsevich. http://modular.fas.harvard.edu/sga/

Brought to you by the Bourbakistas Click here: This is the main online archive. (Note: Annotation is now fixed!) Click here for a PDF version of the SGA scans. These were created by Antoine Chambert-Loir and are bit smaller than than the PS ones (see below), and Adobe Acrobat displays them faster than gv. Click here for dvju, ps, and pdf scans of SGA5, made by Vincent Maillot. Click here for a printable and viewable postscript version of the SGA scans. The French have official scans of EGA, and some of Grothendieck's papers. Here is a local mirror of their EGA files Click here for completely different scans. "Somebody", who wishes to remain anonymous, has kindly made available an alternative collection of scans of SGA and EGA ; these are an obscure FAX format which is very small. Andrew Archibald has converted the faxes mentioned above into djvu format , which is even smaller and more standard. His web page has more information and support for reading the scans over the web using the appropriate plugins, and some files even have inlined OCR'd text. Bas Edixhoven is heading up a project to typeset all SGA in Latex View a few pictures of Grothendieck The Grothendieck Circle's goal is to "make publicly available (and in some cases translate) the material written by and about Alexandre Grothendieck, as well as to provide biographical material on Grothendieck's life and his origins."

46. Alexander GROTHENDIECK, Un Mathématicien D Exception - Le - Le magazine de la Citoyenneté. http://www.lacitoyennete.com/magazine/retro/grothendiecka.php

47. Algebraic Geometry ISBN 0387986375; grothendieck, alexander, ents de g?m?riealg?rique, Publications math?atiques de l IH?, vols. 4, 8 http://www.xasa.com/wiki/en/wikipedia/a/al/algebraic_geometry.html

Algebraic geometry Wikipedia Algebraic geometry is a branch of mathematics which, as the name suggests, combines abstract algebra , especially commutative algebra , with geometry . It can be seen as the study of solution sets of systems of algebraic equations . When there is more than one variable, geometric considerations enter, and are important to understand the phenomenon. One can say that the subject starts where equation solving leaves off, and it becomes at least as important to understand the totality of solutions of a system of equations as to find some solution; this does lead into some of the deepest waters in the whole of mathematics, both conceptually and in terms of technique. Table of contents showTocToggle("show","hide") 1 Zeroes of simultaneous polynomials 2 Affine varieties 3 Regular functions 4 The category of affine varieties ... 8 External references Zeroes of simultaneous polynomials In classical algebraic geometry, the main objects of interest are the vanishing sets of collections of polynomials , meaning the set of all points that simultaneously satisfy one or more polynomial equations. For instance, the two-dimensional sphere in three-dimensional Euclidean space R could be defined as the set of all points ( x y z ) with x y z A "slanted" circle in R can be defined as the set of all points ( x y z ) which satisfy the two polynomial equations x y z x y z Affine varieties First we start with a field k . In classical algebraic geometry, this field was always

48. Liste Des Exposés Du Séminaire Bourbaki Par Années Translate this page 69, Décembre 1952, grothendieck, alexander, Produits tensoriels topologiques etespaces nucléaires. 91, Mars 1954, grothendieck, alexander, La théorie de Fredholm. http://www.iecn.u-nancy.fr/~eguether/bibliotheque/BOURBAKI/node2.html

suivant: monter: BOURBAKI Cartan, Henri Les travaux de Koszul, I Chabauty, Claude Chevalley, Claude Godement, Roger Samuel, Pierre Mars 1949 Braconnier, Jean Mars 1949 Cartan, Henri Les travaux de Koszul, II Mars 1949 Chevalley, Claude Mars 1949 Gauthier, Luc Mars 1949 Schwartz, Laurent Mai 1949 Cartan, Henri Les travaux de Koszul, III Mai 1949 Godement, Roger Mai 1949 Krasner, Marc Mai 1949 Schwartz, Laurent Mai 1949 Godement, Roger Sommes continues d'espaces de Hilbert, I Pisot, Charles Reeb, Georges Samuel, Pierre Compte-rendu de travaux de M. Heins sur diverses majorations de la croissance des fonctions analytiques et sous-harmoniques Mars 1950 Ehresmann, Charles Mars 1950 Godement, Roger Sommes continues d'espaces de Hilbert, II Mars 1950 Schwartz, Laurent Mars 1950 Serre, Jean-Pierre Mars 1950 Mai 1950 Borel, Armand Mai 1950 Dixmier, Jacques Facteurs : classification, dimension, trace Mai 1950 Koszul, Jean-Louis Mai 1950 Schwartz, Laurent Borel, Armand Cartan, Henri Ehresmann, Charles Eilenberg, Samuel Gauthier, Luc Koszul, Jean-Louis Mars 1951 Delsarte, Jean

49. DOCUMENTS MATHEMATIQUES Translate this page 3, grothendieck, alexander (Dir.) /Raynaud, M. Séminaire de géométrie algébriquedu Bois Marie, 1960-61 revêtements étales et groupes fondamental (SGA 1 http://www.iecn.u-nancy.fr/~eguether/bibliotheque/SMF/node3.html

suivant: MEMOIRES DE LA SOCIETE monter: SMF BULLETIN DE LA SOCIETE DOCUMENTS MATHEMATIQUES Serre, Jean-Pierre Colmez, Pierre (Ed.) / Serre, Jean-Pierre (Ed.) Correspondance Grothendieck-Serre Grothendieck, Alexander (Dir.) /Raynaud, M. Gerard Eguether 2004-05-04

50. Alexander Grothendieck Article on alexander grothendieck from WorldHistory.com, licensed fromWikipedia, the free encyclopedia. Return Index alexander grothendieck. http://www.worldhistory.com/wiki/A/Alexander-Grothendieck.htm

World History (home) Encyclopedia Index Localities Companies Surnames ... This Week in History Alexander Grothendieck Alexander Grothendieck (born March 28 in Berlin), is one of the leading mathematicians of the twentieth century, with major contributions to algebraic geometry homological algebra , and functional analysis . He was awarded the Fields Medal in 1966 and coawarded the Crafoord Prize with Pierre Deligne in . He declined the latter prize on ethical grounds. Because of his mastery of abstract approaches to mathematics, but also because of the many stories told about his retirement and his alleged mental disorders, he is one of the most intriguing scientific personalities of the 20th century Mathematical achievements Homological methods and sheaf theory had already been introduced in algebraic geometry by Jean-Pierre Serre , after sheaves had been invented by Jean Leray . Grothendieck took them to a higher level, changing the tools and the level of abstraction. Amongst his insights, he shifted attention from the study of individual varieties to the relative point of view (pairs of varieties related by a morphism ), allowing a broad generalization of many classical theorems. This he applied first to the

51. Grothendieck Project about her meeting with and eventual marriage to Alexandre s father, Sasha (alexander)Shapiro. The memoir tells how Alexandre grothendieck s childhood in the http://www.fermentmagazine.org/Grotproj.html

Alexandre Grothendieck Biography Project Paris March 7th-17th,2001 Fufilling a promise made 6 years earlier, Ferment's editor boarded a TWA plane for Paris on the evening of March 7th,2001, to attend the first meeting of a committee that has been set up to make the life and works of the great mathematician, Alexandre Grothendieck( Alexandre will often be referred to as "AG" ) better known to the scientific world and the general public. In 1994 I'd done some fund-raising for a project of a more limited scope: finding him.My last visit to him was in 1990. Around 1993 he disappeared from the little village in the Vaucluse where he's been hiding out to an unknown location. So jealous was he of his privacy that it appears that even his son, then studying mathematics at Harvard and recipient of a regular stipend from AG's bank, was not informed of his whereabouts. This project was not without controversy, given that most of us agree that people who sincerely want to be left alone should have a right to be so. Sincerity is the key, and it appears with respect to this attribute AG does not have a good record. Given AG's extreme mental state, which fluctuated on insanity, his importance to modern science ( like it or not, he is a very public figure) and his own ruthlessness in violating the privacy of almost all his colleagues through the publication of a memoir

52. Recoltes Et Semailles Récoltes et Semailles, Part I. The Life of a Mathematician Reflections and BearingWitness. alexander grothendieck 1986. English Translation by Roy Lisker. http://www.fermentmagazine.org/rands/recoltes1.html

The Life of a Mathematician Reflections and Bearing Witness Alexander Grothendieck 1986 English Translation by Roy Lisker In all that time, despite the universal interest manifested in its contents, no part of it had been placed on the Internet in either French or English. There has been a dramatic rectification of this state of affairs since October 29,2003. It is now possible to find the bulk of in the original French, a good Russian translation of portions of it, a link to this English translation of the long Avant-Propos, and much other biographical and mathematical material on the Internet, at the Grothendieck Circle website. (December 18,2003) Translated portions are now available IN SPANISH , along with other biographical and mathematical texts of great interest. This is a rough translation only. I do have the competence, (with the requisite work), to make a professional translation, but I haven't the time. Appropriate funding (hopefully someone out there is listening!) would, of course, make all the difference. Harvests and Sowings Thematic Inventory, or

53. Réflexions Métamathématiques Sur Une Heuristique De Grothendieck De N. Lygero l heuristique d alexander grothendieck que nous allons étudier du point de http://www.lygeros.org/0221-Reflexions_metamathematiques_sur_une_heuristique_de_

Réflexions métamathématiques sur une heuristique de Grothendieck de N. Lygeros

54. Algebraic Geometry TutorGig.com Encyclopedia Eisenbud, David, and Harris, Joe, The Geometry of Schemes , SpringerVerlag,1998, ISBN 0387986375 * grothendieck, alexander, ents de g?m http://www.tutorgig.com/encyclopedia/getdefn.jsp?keywords=Algebraic_geometry

55. Liste Alphabétique Des Mathématiciens Translate this page Grossmann (Marcel), Allemand (1878-1936). grothendieck (alexander), Français(1928- ). Gua de Malves (Jean Paul de), Français (1712-1786). http://www.cegep-st-laurent.qc.ca/depar/maths/noms.htm

Abel (Niels Henrik) Agnesi (Maria Guetana) Italienne (1718-1799) Alembert (Jean Le Rond d') Alexander (James Waddell) Alexandroff (Pavel Sergeevich) Russe (1896-1982) Apian (Peter Benneuwitz, dit) Allemand (1495-1552) Apollonios de Perga Grec(v.~262-v.~180) Appel (Paul) Grec (~287-~212) Aristote Grec (~384-~322) Arzela (Cesare) Italien (1847-1912) Ascoli (Guilio) Italien (1843-1896) Babbage (Charles) Anglais (1792-1871) Banach (Stefan) Polonais (1892-1945) Argand (Jean Robert) Suisse (1768-1822) Barrow (Isaac) Anglais (1630-1677) Bayes (Thomas) Anglais (1702-1761) Bellavitis (Giusto) Italien (1803-1880) Beltrami (Eugenio) Italien (1835-1900) Bernays (Paul) Suisse (1888-1977) Bernoulli (Daniel) Suisse (1700-1782) Bernoulli (Jacques) Suisse (1654-1705) Bernoulli (Jean) Suisse (1667-1748) Allemand (1878-1956) Bernstein (Sergei Natanovich) Russe (1880-1968) Bertrand (Josepn) Bessel (Friedrich) Allemand (1784-1846) Birkoff (George David) Bliss (Gilbert Ames) Bochner (Salomon) Allemand (1899-1982) Bolyai (Janos) Hongrois (1802-1860) Bolzano (Bernhard) Bombelli (Raffaele) Italien (1522-1572) Bonnet (Ossian) Boole (George) Anglais (1815-1864) Bourbaki (Nicolas) Braikenridge (William) Anglais (v.1700-1762)

56. Papers By Alexander Yong Papers by alexander Yong. Stable grothendieck polynomials and Ktheoretic factorsequences (with A. Buch, A. Kresch and H. Tamvakis), in preparation. http://math.berkeley.edu/~ayong/papers.html

Papers by Alexander Yong All of the files below are in PostScript If you have trouble downloading, or would prefer a hardcopy, please email me at: ayong@math.berkeley.edu Alternatively, you may look up my papers on the Mathematics ArXiV Truncation Schubert calculus formulae for isotropic flag manifolds (with F. Sottile), coming soon. Grobner geometry of Schubert transition formulae and Littlewood-Richardson rules (with A. Knutson), in preparation. Stable Grothendieck polynomials and K-theoretic factor sequences (with A. Buch, A. Kresch and H. Tamvakis), in preparation. A formula for K-theory truncation Schubert calculus (with A. Knutson), preprint 2004. Define a truncation Grobner geometry of vertex decompositions and of flagged tableaux (with A. Knutson and E. Miller), preprint 2004. We present a commutative algebra/algebraic geometric explanation of the naturality of flagged tableaux (multi-Schur) formulae for the multidegrees of ladder determinantal varieties. We also obtain Hilbert series for these varieties, in terms of Buch's set-valued tableaux. These are based on a general Grobner basis result describing "geometric vertex decompositions" which allows us to deduce a diagonal term order Grobner bases for the defining ideal. This provides a flat degeneration to a reduced union of coordinate subspaces defined by the (squarefree) initial ideal. Tableaux then naturally arise in terms of facets of the Stanley-Reisner complex of this initial ideal. Lecture notes on the K-theory of the flag variety and the Fomin-Kirillov quadratic algebra (with C. Lenart), 2004.

57. Jewish Fields Medalists Roth (1958); Paul Cohen (1966); alexander grothendieck 3 (1966);Charles Fefferman (1978); Gregori Margulis (1978); Michael Freedman http://www.jinfo.org/Fields_Mathematics.html

JEWISH WINNERS OF THE FIELDS MEDAL IN MATHEMATICS (30% of all recipients) Jesse Douglas Laurent Schwartz (1950) Jean-Pierre Serre Klaus Roth (1958) Paul Cohen (1966) Alexander Grothendieck Charles Fefferman (1978) Gregori Margulis (1978) Michael Freedman (1986) Vladimir Drinfeld (1990) Edward Witten (1990) Efim Zelmanov (1994) Maxim Kontsevich Others NOTES 1. According to the obituary notice for Jesse Douglas published in the October 8, 1965 edition of The New York Herald Tribune , he died at Mount Sinai Hospital in Manhattan and his funeral was held the following day at the "The Riverside" (the largest Jewish funeral chapel in New York City). Douglas, who was the first recipient of a Fields Medal, was born in New York City and educated at the City College of New York and at Columbia University. His entry in the 1964-1965 edition of Marquis Who's Who in America indicates that his mother's maiden name was Sarah Kommel. The name "Kommel" is most frequently found among Jews originating in the Pale of Settlement (either as a variant spelling of the Jewish name "Kimmel," or as a habitation name associated with the city of Gomel in the Eastern Pale). The death notice lists a brother, Dr. Harold Douglas, and a sister, Pearl Schweizer, as survivors. According to the 1980-1981 Manhattan phone directory (white pages), Harold Douglas maintained medical offices at Beth Israel Medical Center in lower Manhattan. (Although "Douglas" is not a Jewish name, it is occasionally used as an anglicized version of various Jewish names such as "Dolgoff" or "Toklas.")

58. Jewish Mathematicians JEWISH MATHEMATICIANS. SHORT LIST. Georg Cantor 6; Paul Cohen; SamuelEilenberg; Paul Erdös; Izrail Gelfand; alexander grothendieck 7; http://www.jinfo.org/Mathematics_Comp.html

59. Suggestions For Honours Theses Papers grothendieck, alexander Le groupe de Brauer. I. Alg¨bresd Azumaya et interpr©tations diverses. (French) 1968 Dix http://www.maths.unsw.edu.au/~danielch/honthesis.html

Suggestions for Honours Theses Below is a list of papers, books about which I have some mathematical interest and may contain material which would be suitable for an honours thesis. The most important thing for you to do is to determine if there's something here that seems interesting to you. Don't worry if it seems too advanced. We can work that out later. I should warn you that some of the sources below I don't know so well and would like you to teach me about them! THIS LIST IS TO BE UPDATED AT SOME STAGE. Noncommutative Algebraic Geometry This is my main field of research. It's interesting stuff but not for the faint of heart. In first year algebra, you learn how linear geometry sheds light on linear algebra. Intersections of hyperplanes gives a geometric interpretation of solutions to linear equations. More generally, geometric ideas can be used to understand commutative algebra. In the past two decades, it has become increasingly clear that generalisations of these geometric ideas can also be used to analyse noncommutative algebra giving rise to the exciting new field of noncommutative algebraic geometry. Papers: Mike Artin, Johan de Jong "Stable orders over Surfaces" preprint

60. Ubiratan D Ambrosio Translate this page Na Matemática, tínhamos muitos visitantes. Particularmente importantes foram KasimirKuratowicz, alexander grothendieck, alexander Ostrowski e Gail Young. http://www.furb.br/xi-ciaem/esp/precursores_main.htm

Ubiratan D'Ambrosio L uis Antonio Santaló Bernardo Alfaro Reminiscências pessoais de minha atuação enquanto Presidente do Comitê Interamericano de Educação Matemática/CIAEM. Ubiratan D’Ambrosio Farei primeiramente um relato dos anos que precederam minha entrada como participante ativo do Comitê Interamericano de Educação Matemática e depois como seu Presidente, de 1979 a 1987. Não se trata de uma história do CIAEM nem de minha atuação na presidência da organização. Essas são memórias pessoais, algumas com, aparentemente, pouca relação com as atividades do CIAEM. Efetivamente todas as atividades que relato a seguir foram facilitadas pela minha posição de Presidente do CIAEM e, inegavelmente, trouxeram benefícios para minha atuação nessa função. O CIAEM/Comitê Interamericano de Educação Matemática foi fundado em 1961, por iniciativa de Marshall Stone, então Presidente do ICMI (International Comittee of Mathematical Instruction). Uma história do CIAEM foi recentemente publicada, numa edição bilíngüe: La História Del Comitê Interamericano de Educación Matemática/The History of the Inter-American Committee on Mathematical Education, de autoria de Hugo Barrantes e Angel Ruiz [Academia Colombiana de Ciências Exactas, Físicas y Naturales, Bogotá, 1998]. Vejo como as principais razões para a criação do CIAEM a intenção de regionalizar as discussões sobre Educação Matemática e, ao mesmo tempo, dar uma maior presença dos Estados Unidos na América Latina. A UNESCO havia aberto uma Oficina Regional de Ciências e Tecnologia para a América Latina e Caribe (ORCTALC), em Montevidéu, e a Organização dos Estados Americanos (OEA) procurava expandir seus programas. Ao mesmo tempo foram criados Comitês Interamericanos de Educação em Biologia, em Física e em Química. Parece que esses últimos tiveram vida curta.

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