21. Alexander Grothendieck - Wikipedia Translate this page In seiner Jugendzeit trug Alexander Grothendieck den Spitznamen Schurik. Alexander Grothendieck wird als Alexander Radatz in Berlin geboren. http://de.wikipedia.org/wiki/Alexander_Grothendieck

Wikimedia braucht Ihre Hilfe Helfen Sie uns, 200.000$ zu sammeln, damit Wikipedia und ihre Schwesterprojekte auch weiterhin kostenlos und werbefrei der Allgemeinheit zur Verf¼gung stehen. Weitere Informationen auf unserer Spenden-Seite Alexander Grothendieck aus Wikipedia, der freien Enzyklop¤die Alexander Grothendieck 28. M¤rz in Berlin ), geboren als Alexander Radatz, ist der auŸereheliche Sohn einer Mutter aus einer b¼rgerlichen Hamburger Familie und eines ukrainischen Anarchisten j¼discher Religion. Er gilt als einer der brillantesten, mit Sicherheit aber – auf Grund seines Lebenslaufes – als der ungew¶hnlichste Mathematiker seiner Generation. Seit ist er aus dem ¶ffentlichen Leben verschwunden; sein genauer Aufenthaltsort ist heute unbekannt. Alexander Grothendiecks mathematische Ver¶ffentlichungen umfassen die Gebiete der Topologie , der algebraischen Geometrie und der Funktionalanalysis . Zu seinen sp¤teren Arbeiten geh¶ren Thesenpapiere und Meditationschriften aus den Bereichen der –kologie Philosophie Religion und vor allem der Esoterik Auf Grund seines Wirkens in Frankreich wird sein Name auch oft f¤lschlich als Alexandre Grothendieck angegeben. In seiner Jugendzeit trug Alexander Grothendieck den Spitznamen

22. Alexander Grothendieck - Information An online Encyclopedia with information and facts Alexander Grothendieck Information, and a wide range of other subjects. http://www.book-spot.co.uk/index.php/Alexander_Grothendieck

Alexander Grothendieck - Information Home Mathematical and natural sciences Applied arts and sciences Social sciences and philosophy ... Interdisciplinary categories adsonar_pid=2712;adsonar_ps=1199;adsonar_zw=120;adsonar_zh=600;adsonar_jv='ads.adsonar.com'; 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 ... 3 External links 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.

23. Math alexander grothendieck Bibliography of published texts, unpublished texts, photograph album. http://www.math.jussieu.fr/~leila/mathtexts.php

Mathematical texts Biographical Texts Photograph Album Circle Members Mathematical Texts Bibliography A complete bibliography of Alexander Grothendieck's published mathematical writings Grothendieck's own description of the main themes of his life's work, written in 1972. Topography A topography of the themes represented in Grothendieck's unpublished mathematical writings and letters listed below. Unpublished Texts Motifs - Apart from some letters to Serre and others, this preliminary text dating from 1965-1970 and handwritten (typed up by later readers) is the only mathematical text that Grothendieck can be said to have written on the subject of motives. - Table of contents. This manuscript, consisting of some nearly 800 hand-written double pages, dating from 1981, was left behind with Grothendieck's other unpublished manuscripts when he disappeared in 1991. Typed in Tex, it comes out to about 400 pages. It goes together with a further 1000 pages or so of additional notes and sections which have not yet been read or typed. Many of the major themes were summarised in the 1983 manuscript Esquisse d'un Programme (available below).

24. Grothendieck Biography of alexander grothendieck (19280BC) alexander grothendieck s fatherwas Russian and he was murdered by the Nazis. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Grothendieck.html

Alexander Grothendieck Born: 28 March 1928 in Berlin, Germany Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Alexander Grothendieck In 1949 Grothendieck moved to the University of Nancy where he worked on functional analysis with . He became one of the Bourbaki group of mathematicians which included Weil Henri Cartan and . He presented his doctoral thesis Grothendieck spent the years 1953-55 at the University of Sao Paulo and then he spent the following year at the University of Kansas. However it was during this period that his research interests changed and they moved towards topology and geometry. It is no exaggeration to speak of Grothendieck's years algebraic geometry , and him as its driving force. He received the Fields Medal in . In looking back at this period, one marvels at the generosity with which Grothendieck shared his ideas with colleagues and students, the energy he and his collaborators devoted to meticulous redaction, the excitement with which they set out to explore a new land. During this period Grothendieck's work provided unifying themes in geometry

25. Grothendieck Portrait Portrait of alexander grothendieck. Copyright information.http//wwwhistory.mcs.st-andrews.ac.uk/PictDisplay/grothendieck.html. http://www-groups.dcs.st-and.ac.uk/~history/PictDisplay/Grothendieck.html

Alexander Grothendieck JOC/EFR September 2003 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/PictDisplay/Grothendieck.html

26. Math Ein kurzer Lebenslauf von alexander grothendieck (German) (by W. Scharlau).A preliminary version of a biography of alexander grothendieck by W. Scharlau http://www.math.jussieu.fr/~leila/biographic.php

Mathematical Texts Biographical Texts Photograph Album Circle Members Biographical Material Basic biographies A brief timeline of Grothendieck's life Ein kurzer Lebenslauf von Alexander Grothendieck (German) (by W. Scharlau) A preliminary version of a biography of Alexander Grothendieck by W. Scharlau (95 pages in German). Wikipedia Grothendieck article MacTutor Grothendieck bio Texts by A. Grothendieck Part 0 Part I errata for Part I (missing pages 146, 148) Part II ... Part IV or This translation has also been published in book form, see book information , eleventh item on the list. Roy Lisker's Ferment Magazine , and the appendix Les Portes sur l'Univers La Clef des Songes - ou Dialogue avec le Bon Dieu This book in French (6 chapters, 315 pages, plus hundreds of pages of added notes) describes Grothendieck's arrival at the conviction of the existence of God, through his discovery of the meaning and significance of dreams. It also contains a wealth of personal biographical details on his early childhood, on the period spent in a French internment camp for undesirables during World War II and then in the Protestant foyer for Jewish children in Le Chambon sur Lignon, and on his parents. La Clef des Songes (main text): Table of contents and chapters I,II,III

27. Algebraic Geometry -- Facts, Info, And Encyclopedia Article (Click link for more info and facts about grothendieck, alexander) grothendieck, grothendieck, alexander, Éléments de géométrie algébrique, vol. http://www.absoluteastronomy.com/encyclopedia/a/al/algebraic_geometry.htm

Algebraic geometry [Categories: Algebraic geometry] Algebraic geometry is a branch of (A science (or group of related sciences) dealing with the logic of quantity and shape and arrangement) mathematics which, as the name suggests, combines (Click link for more info and facts about abstract algebra) abstract algebra , especially (Click link for more info and facts about commutative algebra) commutative algebra , with (The pure mathematics of points and lines and curves and surfaces) geometry . It can be seen as the study of (Click link for more info and facts about solution set) solution set s 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 (Click link for more info and facts about equation solving) 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. Zeroes of simultaneous polynomials In classical algebraic geometry, the main objects of interest are the vanishing sets of collections of

28. Grothendieck Topology -- Facts, Info, And Encyclopedia Article (Click link for more info and facts about alexander grothendieck) alexandergrothendieck wanted to define cohomology theories for other structures, http://www.absoluteastronomy.com/encyclopedia/g/gr/grothendieck_topology.htm

Grothendieck topology [Categories: Sheaf theory, Category theory] In (A science (or group of related sciences) dealing with the logic of quantity and shape and arrangement) mathematics , a Grothendieck topology is a structure defined on an arbitrary (A general concept that marks divisions or coordinations in a conceptual scheme) category C which allows the definition of (Click link for more info and facts about sheaves) sheaves on C , and with that the definition of general (Click link for more info and facts about cohomology) cohomology theories. A category together with a Grothendieck topology on it is called a site This tool has been used in (Click link for more info and facts about algebraic number theory) algebraic number theory and (Click link for more info and facts about algebraic geometry) algebraic geometry , initially to define (Click link for more info and facts about étale cohomology) étale cohomology of (An elaborate and systematic plan of action) scheme s, but also for flat cohomology and crystalline cohomology, and in further ways. Note that a Grothendieck topology is a true generalisation. It is not a

29. *Concerns Of Young Mathematicians* || Comments || Alexander Grothendieck alexander grothendieck, Research. By overconvergent Posted Wed Nov 24th, 2004 at100754 grothendieck s life story is eventful; he was born in Germany, http://concerns.youngmath.net/comments/2004/11/24/10754/486/0/post

The Young Mathematicians' Network Serving the Community of Young Mathematicians Sections: Front Page News Grad Life Undergrad Life ... Alexander Grothendieck comments ( topical, editorial, hidden) Menu Submit a Story create account FAQ Search ... Recent Comments Login Make a new account Username: Password: submit story create account faq search

30. Week209 33) grothendieck, alexander Le groupe de Brauer. III. Exemples et complements.(French) 1968 Dix Exposes sur la Cohomologie des Schemas pp. http://math.ucr.edu/home/baez/week209.html

November 21, 2004 This Week's Finds in Mathematical Physics (Week 209) John Baez Time flies! This June, Peter May and I organized a workshop on n-categories at the Institute for Mathematics and its Applications: 1) n-Categories: Foundations and Applications, http://www.ima.umn.edu/categories/ I've been meaning to write about it ever since, but I keep putting it off because it would be so much work. The meeting lasted almost two weeks. It was an intense, exhausting affair packed with talks, conversations, and "Russian-style seminars" where the audience interrupted the speakers with lots of questions. I took about 50 pages of notes. How am I supposed to describe all that?! Oh well... I'll just dive in. I'll quickly list all the official talks in this conference. I won't describe the many interesting "impromptu talks", some of which you can see on the above webpage. Nor will I explain what n-categories are, or what they're good for! If you want to learn what they're good for, you should go back to " " and read "The Tale of n-Categories". And if you want to know what they

31. Also Available At Http//math.ucr.edu/home/baez/week209.html source of inspiration to me and, I believe, to the Granada School) would havepointed me to the papers 32) grothendieck, alexander Le groupe de Brauer. http://math.ucr.edu/home/baez/twf_ascii/week209

32. Résultats De La Recherche grothendieck, alexander Résumé des résultats essentiels dans la théorie des grothendieck, alexander Éléments de géométrie algébrique (rédigés avec la http://www.numdam.org/numdam-bin/recherche?au=Grothendieck&format=short

33. Fields Medal NJ USA 31 1966 Atiyah, Michael London UK 37 1966 Cohen, Paul Long Branch NJUSA 32 1966 grothendieck, alexander Berlin Germany 38 1966 Smale, http://db.uwaterloo.ca/~alopez-o/math-faq/mathtext/node19.html

Next: Erdos Number Up: Human Interest Previous: Indiana bill sets the Fields Medal Historical Introduction This is the original letter by Fields creating the endowment for the medals that bear his name. It is thought to have been written during the few months before his death. Notice that no mention is made about the age of the recipients (currently there is a 40 year-old limit), and that the medal should not be attached to any person, private or public, meaning that it shouldn't bear anybody's name. It is proposed to found two gold medals to be awarded at successive International Mathematical Congress for outstanding achievements in mathematics. Because of the multiplicity of the branches of mathematics and taking into account the fact that the interval between such congresses is four years it is felt that at least two medals should be available. The awards would be open to the whole world and would be made by an International Committee. The fund for the founding of the medals is constituted by balance left over after financing the Toronto congress held in 1924. This must be held in trust by the Government or by some body authorized by government to hold and invest such funds. It would seem that a dignified method for handling the matter and one which in this changing world should most nearly secure permanency would be for the Canadian Government to take over the fund and appoint as his custodian say the Prime Minister of the Dominion or the Prime Minister in association with the Minister of Finance. The medals would be struck at the Mint in Ottawa and the duty of the custodian would be simply to hand over the medals at the proper time to the accredited International Committee.

34. Algebraic Geometry: Information From Answers.com Varieties are subsumed in alexander grothendieck s concept of a scheme. Schemes startwith the observation that if finitely generated reduced kalgebras are http://www.answers.com/topic/algebraic-geometry

showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Encyclopedia Wikipedia Best of Web Mentioned In Or search: - The Web - Images - News - Blogs - Shopping algebraic geometry Encyclopedia algebraic geometry, branch of geometry , based on analytic geometry , that is concerned with geometric objects (loci) defined by algebraic relations among their coordinates (see Cartesian coordinates ). In plane geometry an algebraic curve is the locus of all points satisfying the polynomial equation f x,y )=0; in three dimensions the polynomial equation f x,y,z )=0 defines an algebraic surface. In general, points in n -space are defined by ordered sequences of numbers ( x x x x n ), where each n -tuple specifies a unique point and x x x x n are members of a given field (e.g., the complex numbers). An algebraic hypersurface is the locus of all such points satisfying the polynomial equation f x x x x n )=0, whose coefficients are also chosen from the given field. The intersection of two or more algebraic hypersurfaces defines an algebraic set, or variety, a concept of particular importance in algebraic geometry. Wikipedia @import url(http://content.answers.com/main/content/wp/css/common.css); @import url(http://content.answers.com/main/content/wp/css/gnwp.css);

35. Alexander Grothendieck: Information From Answers.com PDF A MAD DAY’S WORK FROM grothendieck TO CONNES AND KONTSEVICH THE http://www.answers.com/topic/alexander-grothendieck

showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Wikipedia Mentioned In Or search: - The Web - Images - News - Blogs - Shopping Alexander Grothendieck Wikipedia @import url(http://content.answers.com/main/content/wp/css/common.css); @import url(http://content.answers.com/main/content/wp/css/gnwp.css); Alexander Grothendieck Alexander Grothendieck (born March 28 Berlin ) was one of the most important mathematicians active in the 20th century . He was also one of its most extreme scientific personalities, with achievements over a short span of years that are still scarcely credible in their broad scope and sheer bulk, and an approach that antagonised even close followers. He made major contributions to algebraic geometry homological algebra , and functional analysis . He was awarded the Fields Medal in , and co-awarded the Crafoord Prize with Pierre Deligne in . He declined the latter prize, on ethical grounds. He is noted for his mastery of abstract approaches to mathematics, and his perfectionism in matters of formulation and presentation. Relatively little of his work after 1960 was published by the conventional route of the learned journal , circulating initially in duplicated volumes of seminar notes; his influence was to a considerable extent personal, on French mathematics and the

36. SGA The French have official scans of EGA, and some of grothendieck s papers. alexander grothendieck biographical entry Malgoire s grothendieck page 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."

37. MathNet-Fields Medals Translate this page 11 grothendieck, alexander Cohomologie locale des faisceaux cohérents et 54 grothendieck, alexander The cohomology theory of abstract algebraic http://www.mathnet.or.kr/API/?MIval=people_fields_detail&ln=Alexander Grothendie

38. MathNet-Fields Medals 3 grothendieck, alexander Brief an G. Faltings. (German) Letter to G. FaltingsWith an English translation on pp. 285293. London Math. Soc. http://www.mathnet.or.kr/API/?MIval=people_fields_detail&ln=Gerd Faltings

39. Alexander Schmidt: Coarse Geometry Via Grothendieck Topologies Author alexander Schmidt Title Coarse geometry via grothendieck topologiesYear 1997 In Math. Nachr. 203 (1999), 159173. Preprint dvi-file grob.dvi http://www.mathematik.uni-regensburg.de/Schmidt/papers/schmidt07-en.html

Alexander Schmidt: Coarse geometry via Grothendieck topologies Author: Alexander Schmidt Title: Coarse geometry via Grothendieck topologies Year: In: Math. Nachr. 203 (1999), 159-173 Preprint dvi-file grob.dvi back

40. Alexander Schmidt: Coarse Geometry Via Grothendieck Topologies Translate this page Autor alexander Schmidt Titel Coarse geometry via grothendieck topologies Jahr1997 In Math. Nachr. 203 (1999), 159-173. Preprint dvi-file grob.dvi http://www.mathematik.uni-regensburg.de/Schmidt/papers/schmidt07-de.html

Alexander Schmidt: Coarse geometry via Grothendieck topologies Autor: Alexander Schmidt Titel: Coarse geometry via Grothendieck topologies Jahr: In: Math. Nachr. 203 (1999), 159-173 Preprint dvi-file grob.dvi

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