41. Fields Medal Prize Winners 1966 alexander grothendieck. born March 28, 1928, Berlin University of Paris. Built onwork of Weil and Zariski and effected fundamental advances in algebraic http://www.icm2002.org.cn/general/prize/medal/1966.htm

42. Categories: Categorical Incunabula 21 1328 grothendieck, alexander. Sur quelques points d alghbre homologique. 22 6818 grothendieck, alexander. La thiorie des classes de Chern. http://north.ecc.edu/alsani/ct02(1-2)/msg00006.html

Date Prev Date Next Thread Prev Thread Next ... Thread Index categories: categorical incunabula To categories@mta.ca Subject : categories: categorical incunabula From pjf@saul.cis.upenn.edu Date : Tue, 8 Jan 2002 08:38:05 -0500 (EST) Sender cat-dist@mta.ca Follow-Ups categories: Re: categorical incunabula From: categories: Re: categorical incunabula From: categories: Re: categorical incunabula From: "Hans-E. Porst" <porst@math.uni-bremen.de> Prev by Date: categories: Re: Antonia's Line Next by Date: categories: RE: Categories and cognition Previous by thread: categories: Re: Antonia's Line Next by thread: categories: Re: categorical incunabula Index(es): Date Thread

43. Papers By Alexander Yong Papers by alexander Yong. All of the files below are in PostScript. Stable grothendieck polynomials and Ktheoretic factor sequences (with A. Buch, 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 Tableau complexes (with A. Knutson and E. Miller), in preparation (expected date of arrival: sometime Fall 2005). Singularities of Schubert varieties, Determinantal varieties, and Kazhdan-Lusztig polynomials (with A. Woo), in preparation (expected date of arrival: sometime Fall 2005). We suggest a combinatorial and computational commutative algebra approach to the study of singularities of Schubert varieties, in terms of ``Kazhdan-Lusztig varieties'' and Bruhat-restricted pattern avoidance. (In particular, these notes will be used in the following workshop.) Grobner geometry of vertex decompositions and of flagged tableaux (with A. Knutson and E. Miller), submitted 2005. We relate a classic algebro-geometric degeneration technique, dating at least to [Hodge 1941], to the notion of vertex decompositions of simplicial complexes. The good case is when the degeneration is reduced, and we call this a geometric vertex decomposition Our main example is the family of vexillary matrix Schubert varieties , whose ideals are also known as (one-sided) ladder determinantal ideals. We show that these have geometric vertex decompositions into simpler varieties of the same type. From this, together with the combinatorics of the pipe dreams of [FominKirillov 1996], we derive a new formula for the numerators of their multigraded Hilbert series, the double Grothendieck polynomials, in terms of

44. DML: Digital Mathematics Library: Retrodigitized Mathematics Journals And Monogr 12, grothendieck_SGA SGA, EGA (by grothendieck, alexander), 19601973, book.13, grothendieck_circle SGA, Varia (by grothendieck, alexander), 1965-1991 http://www.mathematik.uni-bielefeld.de/~rehmann/DML/dml_links_title_S.html

DML: Digital Mathematics Library Also: WDML: World Digital Mathematics Library Retrodigitized Mathematics Journals and Monographs Contains links to 1874 digitized books (> 385236 pages ) and to 145 digitized journals (> 2942143 pages). (Numbers of pages are preliminary; not all informations are already available.) Includes all the links mentioned on page 920 of: Allyn Jackson, "The Digital Mathematics Libary", Notices Amer. Math. Soc., vol. 50 (8), 2003 Local Copy A similar list is offered at http://www.wdml.org The database for this table is an ASCII based (ISO Latin 8859-1 extended) list , which may be parsed by this PERL script If you want items to be added here, please send me the necessary data. Lists ordered by "Journal", "Repository" (Journals only) or by "Author name", "Title" are provided, as well as an overview of the repositories Author: A B C D ... Z Title: A B C D ... Z Nr. Repository: Title, Author: Pages: Year(s): Type: Michigan Sammlung von Aufgaben zur Anwendung der Differential- und Integralrechnung, von Friedrich Dingeldey. (by Dingeldey, Friedrich) book Cornell Scherz und Ernst in der Mathematik, geflügelte und ungeflügelte Worte

45. Grothendieck Project By typing the name grothendieck into Internet search engines, The biographiesof the two alexander Shapiros intersect in so many places that there 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

46. Recoltes Et Semailles alexander grothendieck 1986 in 1988, of copies of Récoltes et Semailles byalexander grothendieck to mathematical colleagues around the world. 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. Harvests and Sowings Thematic Inventory, or Prelude in 4 Movements Summary Preface Introduction Promenade through a life's work - or the Child and the Mother. The magic of things The Importance of Solitude The Interior Adventure - or Myth and Witnessing A Novel of Manners ... The Child and its Mother EPILOGUE: The Invisible Circles Death is my Cradle Spying on the Neighbors Sui generis - or The Gift of Solitude The LETTER The 1000 page letter Germination of the Project of Harvests and Sowings ( a retrospective insight) The Boss is Dead - the Abandoned Workshop A Scent of the Burial ...

47. Jewish Fields Medalists alexander grothendieck, one of the most influential mathematicians of the secondhalf of Although grothendieck s father, whose name was alexander (or, http://www.jinfo.org/Fields_Mathematics.html

JEWISH WINNERS OF THE FIELDS MEDAL IN MATHEMATICS (27% of recipients) Jesse Douglas Laurent Schwartz (1950) Klaus Roth (1958) Paul Cohen (1966) Alexander Grothendieck Charles Fefferman (1978) Gregori Margulis (1978) Michael Freedman Vladimir Drinfeld (1990) Edward Witten (1990) Efim Zelmanov (1994) Maxim Kontsevich 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. 2. Alexander Grothendieck, one of the most influential mathematicians of the second half of the twentieth century, is the German-born son of a Russian Jewish father and a German-Jewish mother. This is according to a recent memoir in the Bulletin of the American Mathematical Society (Vol. 38, No. 4, 2001, pp. 389-408) written by his close acquaintance, the mathematician Pierre Cartier. (See

48. Encyclopedia: Alexander Grothendieck Other descriptions of alexander grothendieck. alexander grothendieck (born March28, 1928, Berlin) was one of the most important mathematicians active in http://www.nationmaster.com/encyclopedia/Alexander-Grothendieck

Supporter Benefits Signup Login Sources ... Pies Related Articles People who viewed "Alexander Grothendieck" also viewed: Introduction to topos theory Motive (mathematics) Cohomology Grothendieck topos ... Hassler Whitney What's new? Our next offering Latest newsletter Student area Lesson plans Recent Updates Hankuk University of Foreign Studies Hangover Halite Guns N' Roses ... More Recent Articles Top Graphs Richest Most Murderous Most Taxed Most Populous ... More Stats Encyclopedia: Alexander Grothendieck Updated 37 days 22 hours 13 minutes ago. Other descriptions of 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.

49. Encyclopedia: Algebraic-geometry alexander grothendieck (born March 28, 1928, Berlin) was one of the most importantmathematicians active in the 20th century. In mathematics, a scheme http://www.nationmaster.com/encyclopedia/Algebraic_geometry

Supporter Benefits Signup Login Sources ... Pies What's new? Our next offering Latest newsletter Student area Lesson plans Recent Updates Hankuk University of Foreign Studies Hangover Halite Guns N' Roses ... More Recent Articles Top Graphs Richest Most Murderous Most Taxed Most Populous ... More Stats Encyclopedia: Algebraic-geometry Updated 51 days 22 hours 16 minutes ago. Other descriptions of Algebraic-geometry 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. Mathematics is the study of quantity, structure, space and change. ...

50. Alexander Grothendieck / © Gruppe EM solve every problem born at Berlin, very short period at Hamburg, http://www.eucheucheuch.de/em/ag.htm

g ruppe eM A lexander G rothendieck A G . tells you how to solve every problem ... last teaching at Montpellier again leaving ..., it's said towards the Pyrenees, ... His wish: "please let me alone". "Toleranz" Quote of one of the last correspondences with Alexander (translated by rdb): A.G. "La Clef des Songes" ("The Key to Dreams"): A.G. abstract / Zusammenfassung / Kurztext cat top elegant math More info on Grothendieck www.math.univ-montp2.fr/agata/malgoire.html Jean Malgoire (la longue marche) www.math.jussieu.fr/~leila/index.php Grothendieck Circle wwwmath.uni-muenster.de/math/u/scharlau/scharlau/ Winfried Scharlau, biographical texts http://www.math.jussieu.fr/~maltsin/groth/Derivateurs.html www.ihes.fr/IHES/Presentation/Historique/ancien.html brandt.kurowski.net/projects/lsa/wiki/view.cgi?doc=429 in english www.lacitoyennete.com/magazine/retro/grothendiecka.php in french www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Grothendieck.html in english www.britannica.com/eb/article?eu=99003 in english homepages.feis.herts.ac.uk/~nehaniv/grothendieck.html in english modular.fas.harvard.edu/sga/ SGA web pages

51. Publications Mathématique Index Of The Volumes HARTSHORNE, Robin, Ample vector bundles. grothendieck, alexander, On the deRham cohomology of algebraic varieties. http://www.ihes.fr/IHES-A/Publication/indexvolumeA.html

Index of the volumes K. KATO, T. SAITO On the Conductor Formula of Bloch M. BONK, J. HEINOVEN Smooth Quasiregular Mappings with Branching W. CRAWLEY-BEOVEY Indecomposable Parabolic Bundles and the Existence of Matrices in Prescribed Conjugacy Class Closures with Product Equal to the Identity M. KKAPRANOV, E. VASSEROT Vertex Algebras and the Formal Loop Space - J. BOURGAIN, H. BREZIS, P. MIRONESCU H Maps with Values into the Circle : Minimal Connections, Lifting, and the Ginzburg-Landau Equation A. ABBES, A. MOKRANE J.W. COGDELL, H.H. KIM, I.I. PIATESKI-SHAPIRO, F. S HAHIDI Functoriality for the classical groups The Hochschild Cohomology of a Closed Manifold VOEVODSKY Vladimir, Reduced power operations in motivic cohomology. VOEVODSKY Vladimir, Motivic cohomology with Z /2-coefficients. CHANG Sun-Yung A., GURSKY Mattew J. and YANG Paul C., A conformally invariant sphere theorem in four dimensions. BROCK Jeffrey, BROMBERG Kenneth, EVANS Richard and SOUTO Juan, Tameness on the boundary and Ahlfors' measure conjecture.

52. Index Des Publications Mathématiques grothendieck, alexander, Éléments de géométrie algébrique (rédigés avec lacollaboration grothendieck, alexander, On the de Rham cohomology of algebraic http://www.ihes.fr/IHES/Publications/pub-index.html

Index par auteur A B C D ... Z A A. ABBES, A. MOKRANE, ABHYANKAR, Shreeram, Automorphisms of analytic local rings, ABHYANKAR, Shreeram, MOH, Tzoung Tsieng, and van der PUT, Marius, Invariants of analytic local rings, A'CAMPO, Norbert, Generic immersions of curves, knots, monodry and Gordian number, A'CAMPO, Norbert, Planar trees, slalom curves and hyperbolic knots, AKBULUT, Selman, and KING, Henry C., Real algebraic structures on topological spaces, (1981), 79-162. AKBULUT, Selman, and TAYLOR, Laurence, A topological resolution theorem, ANDREOTTI, Aldo, and VESENTINI, Edoardo, Carleman estimates for the Laplace-Beltrami equation on complex manifolds, voir aussi Erratum to..., ARBARELLO Enrico, and CORNALBA, Maurizio, Calculating cohomology groups of moduli spaces of curves via algebraic geometry, ARTHUR, James, A local trace formula, ARTIN, Michael F., Algebraic approximation of structures over complete local rings, ATIYAH, Michael F., Characters and cohomology of finite groups

53. Suggestions For Honours Theses grothendieck, alexander Le groupe de Brauer. I. Alg¨bres d Azumaya et interpr©tationsdiverses. (French) 1968 Dix Expos©s sur la Cohomologie des Sch©mas http://web.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 ALWAYS BEING UPDATED. 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

54. Annales De L'Institut Fourier alexander grothendieck p. 73112 Summary ofessential results in the theory of topological tensor products and nuclear http://annalif.ujf-grenoble.fr/cgi-bin/auteur?Langue=eng&AuthorName=GROTHENDIECK

55. Annales De L'Institut Fourier Translate this page alexander grothendieck p. 73-112 Résumé desrésultats essentiels dans la théorie des produits tensoriels topologiques http://annalif.ujf-grenoble.fr/cgi-bin/auteur?Langue=fre&AuthorName=GROTHENDIECK

56. AoPS Math Forum :: View Topic - Crazy Mathematicians As for modern mathematicians, you have to mention alexander grothendieck. I ve read several sections of grothendieck s seminal works EGA and SGA, http://www.artofproblemsolving.com/Forum/post-231135.html&unmark=post

WOOT - Olympiad training with many top students worldwide. Sponsored by D. E. Shaw group and Google Click here for more information. Font Size: The time now is Thu Sep 01, 2005 2:31 pm All times are GMT - 7 Hours Crazy Mathematicians Mark the topic unread Math Forum Other Topics ... The Round Table Moderators: JBL Page of [21 Posts] Goto page Next Printer View Tell a Friend ... View next topic Author Message Magnara Yang-Mills Theory Joined: 25 Mar 2004 Posts: 891 Posted: Thu May 12, 2005 2:00 pm Post subject: Crazy Mathematicians I'm doing a school project on (European) mathematicians who went crazy. All I can think of are Newton, Cantor, and Godel. Anyone I'm missing? The game of life is to keep the SF's score low. If you do something bad in life, the SF gets two points. If you don't do something good that you should have done, the SF gets one point. You never score, so the SF always wins. -Erdos Back to top blahblahblah Navier-Stokes Equations Joined: 28 Mar 2004 Posts: 1806 Posted: Thu May 12, 2005 2:10 pm Post subject: Hardy / Littlewood?

57. AoPS Math Forum :: View Topic - Crazy Mathematicians As for modern mathematicians, you have to mention alexander grothendieck. I would have to strongly disagree with the assertion that grothendieck is http://www.artofproblemsolving.com/Forum/post-230637.html

The AoPS Independent Study Programs begins Friday, Sept 9. Enrollments are limited. Enrollment deadline is Sept 19. Font Size: The time now is Thu Sep 01, 2005 2:31 pm All times are GMT - 7 Hours Crazy Mathematicians Mark the topic unread Math Forum Other Topics ... The Round Table Moderators: JBL Page of [21 Posts] Goto page Next Printer View Tell a Friend ... View next topic Author Message Magnara Yang-Mills Theory Joined: 25 Mar 2004 Posts: 891 Posted: Thu May 12, 2005 2:00 pm Post subject: Crazy Mathematicians I'm doing a school project on (European) mathematicians who went crazy. All I can think of are Newton, Cantor, and Godel. Anyone I'm missing? The game of life is to keep the SF's score low. If you do something bad in life, the SF gets two points. If you don't do something good that you should have done, the SF gets one point. You never score, so the SF always wins. -Erdos Back to top blahblahblah Navier-Stokes Equations Joined: 28 Mar 2004 Posts: 1806 Posted: Thu May 12, 2005 2:10 pm Post subject: Hardy / Littlewood?

58. Enciclopedia :: 100cia.com grothendieck,alexander, Éléments de géométrie algébrique, vol. http://100cia.com/enciclopedia/Geometría_algebraica

Portada Artículos favoritos Vea sus documentos y artículos favoritos pulsando aquí No hay artículos favoritos todavía. documentos sin leer: Siguiente doc sin leer Borrar los docs leídos Borrar todos los docs ¡Webmaster! ¿Quieres tener los contenidos de 100cia.com en tu página? Pulsa aquí Buscar: en Google en noticias en Enciclopedia Estás en: 100cia.com > Enciclopedia Geometría algebraica La Geometría algebraica es una rama de las matemáticas que, como sugiere su nombre, combina el Álgebra abstracta , especialmente el Álgebra conmutativa , con la geometría . Se puede comprender como el estudio de los conjuntos de soluciones de los sistemas de ecuaciones algebraicas . Cuando hay más de una variable, aparecen las consideraciones geométricas que son importantes para entender el fenómeno. Podemos decir que la materia en cuestión comienza cuando abandonamos la mera solución de ecuaciones , y el tema de "entender" todas las soluciones se vuelve tan importante como el encontrar alguna solución, lo cual lleva a las "aguas más profundas" del mundo de las matemáticas, tanto conceptual como técnicamente. Tabla de contenidos 1 Ceros de polinomios simultáneos 2 Variedades afines 3 Funciones regulares 4 La categoría de las variedades afines ... 1 Referencias externas Ceros de polinomios simultáneos En la geometría algebraica clásica, el principal objeto de interés es los conjuntos donde se anula cierta colección de

59. Enciclopedia :: 100cia.com Translate this page En matemáticas, una topología de grothendieck es una estructura definida en una alexander grothendieck quiso definir las teorías de cohomología para http://100cia.com/enciclopedia/Topología_de_Grothendieck

Portada Artículos favoritos Vea sus documentos y artículos favoritos pulsando aquí No hay artículos favoritos todavía. documentos sin leer: Siguiente doc sin leer Borrar los docs leídos Borrar todos los docs ¡Webmaster! ¿Quieres tener los contenidos de 100cia.com en tu página? Pulsa aquí Buscar: en Google en noticias en Enciclopedia Estás en: 100cia.com > Enciclopedia Topología de Grothendieck En matemáticas , una topología de Grothendieck es una estructura definida en una categoría arbitraria C que permita la definición de haces en C , y con ésa la definición de las teorías generales de cohomología. Una categoría junto con una topología de Grothendieck en ella se llama un sitio . Esta herramienta se utiliza en teoría algebraica de números y geometría algebraica , para definir principalmente la cohomología étale de esquemas , pero también para la cohomologia playa y el cohomología cristalina . Observe que una topología de Grothendieck no es una topología en el sentido clásico. Historia e idea En un momento en que la cohomología para los haces en espacios topológicos era establecida

60. Grothendieck S Letter Of July 8, 1987. grothendieck s letter of July 8, 1987. Les Annettes July 8, 1987. Dear Piotr Blass, mathematical ones. With my very best wishes alexander grothendieck. http://www.jmilne.org/math/Documents/GLetter.html

Grothendieck's letter of July 8, 1987. Les Annettes July 8, 1987. Dear Piotr Blass, Thanks for your letter and MS. I am not going even to glance through the manuscript, as I have completely given up mathematics and mathematical involvements. If you complete your book, you may mention on the cover that it is based on my EGA IV (sic) notes, but you are to be the author and find your own title. I have a foreboding that we'll contact again before very long, but in relation to more inspi- ring tasks and vistas than mathematical ones. With my very best wishes Alexander Grothendieck

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