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Topic: Alexandre Grothendieck

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	Alexander Grothendieck - Wikipedia, the free encyclopedia
		Alexander Grothendieck (born March 28, 1928 in Berlin, Germany) is one of the most important mathematicians of the 20th century.
		The Grothendieck-Riemann-Roch theorem was announced by Grothendieck at the initial Arbeitstagung in Bonn, in 1957.
		Perhaps Grothendieck's deepest single accomplishment is the invention of the étale and l-adic cohomology theories, which explain an observation of André Weil's, that there is a deep connection between the topological characteristics of a variety and its diophantine (number theoretic) properties.
	en.wikipedia.org /wiki/Alexander_Grothendieck (1949 words)

	Grothendieck topology - Wikipedia, the free encyclopedia
		This was first done in algebraic geometry and algebraic number theory by Alexandre Grothendieck to define the étale cohomology of a scheme.
		Grothendieck topologies are not comparable to the classical notion of a topology on a space.
		Grothendieck saw that it would be possible to use Serre's idea to define a cohomology theory which he suspected would be the Weil cohomology.
	en.wikipedia.org /wiki/Grothendieck_topology (1478 words)

	The Spectator.co.uk
		In the first place, the luminous brilliance of Grothendieck’s mathematical achievement — his 1966 Fields Medal, the Nobel Prize of maths, is an indicator — is matched only by the near impossibility of explaining it to anyone without a background in pure maths.
		Grothendieck doesn’t write popularising books like Stephen Hawking; he doesn’t tour American universities lecturing undergraduates; and he doesn’t, any more, publish his researches and discoveries in mathematical journals.
		Grothendieck’s father was an anarchist who died in Auschwitz; Alexandre, along with his German mother Hanka, was interned in France during the war as an ‘undesirable’.
	www.lewrockwell.com /spectator/spec262.html (1224 words)

	Letter from Grothendieck \| The n-Category Café
		Alexander Grothendieck was the most visionary and radical mathematician in the second half of the 20th century - at least before he left his home and disappeared one fine day in 1991.
		Leila Schneps, an expert on Grothendieck’s theory of dessins d’enfants and a founding member of the Grothendieck Circle, was one of the last mathematicians to meet Grothendieck and correspond with him.
		It is sad tht while Grothendieck was asking the right question: “what is the metre” and rightly saying that the convention c = 300,000,000 m/s would have been simpler the standard reaction to his query was to see there the clear symptom of a deranged mind.
	golem.ph.utexas.edu /category/2006/08/letter_from_grothendieck.html (1794 words)

	Grothendieck's Séminaire de géométrie algébrique
		More elementary or foundational parts were relegated to the EGA series of Grothendieck and Jean Dieudonné, causing long strings of logical dependencies in the statements.
		The style is very abstract and assumes that intensive use of category theory ideas is within the reader's comfort zone.
		Legal permission to reprint the works was obtained from every author except Alexander Grothendieck himself, who cannot be contacted; it was decided to proceed without his explicit agreement on the grounds that his refusal for the SGA to be re-published by Springer-Verlag was an objection against Springer and not one of principle.
	www.1bx.com /en/SGA4.htm (1176 words)

	PlanetMath: supplemental axioms for an Abelian category
		These are axioms introduced by Alexandre Grothendieck for an Abelian category.
		The first two are satisfied by definition in an Abelian category, and others may or may not be.
		Grothendieck introduced these in his homological algebra paper Sur quelques points d'algèbre homologique in the Tôhoku Math Journal (number 2, volume 9, 1957).
	planetmath.org /encyclopedia/Complete8.html (223 words)

	Marginal Revolution: October 26, 2004 Archives (Site not responding. Last check: 2007-11-01)
		In my post about Alexandre Grothendieck, I pointed readers to the streaming video of a brilliant lecture by Colin McLarty.
		Alexandre Grothendieck, born in 1928, was the greatest mathematician of the twentieth century and arguably the greatest of all time.
		The resulting documents, totalling over 10,000 pages, revolutionized geometry, arithmetic and algebra by viewing all of mathematics from a height of abstraction at which subjects blend together, every unnecessary detail is stripped away, and essential truths are almost automatically revealed.
	www.marginalrevolution.com /marginalrevolution/2004/10/26/index.html (1426 words)

	SGA (Site not responding. Last check: 2007-11-01)
		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."
		The paper From Grothendieck to Connes and Kontsevich.
		Excerpt: "[Grothendieck] enjoyed playing the role of a modern Socrates, and was given a suspended sentence of six months in prison and a fine of 20,000 francs.
	modular.fas.harvard.edu /sga (288 words)

	Grothendieck Project
		By typing the name "Grothendieck" into Internet search engines, he soon uncovered the advertising for series of articles entitled the "Quest for Grothendieck" which I'd published in the Ferment newsletter in the early 90's.
		By 11 AM I was walking through the door of the Ideal Hotel on the rue de Trois Bornes in the 11th Arrondisement.
		The memoir tells how Alexandre Grothendieck's childhood in the anarchist circles of Berlin between 1928 and 1939.
	www.fermentmagazine.org /Grotproj.html (1800 words)

	My Favorite Mathematicians: Alexandre Grothendieck (Site not responding. Last check: 2007-11-01)
		Grothendieck revealed the importance of covering in algebra.
		The importance of his ideas for mathematics is only beginning to be felt.
		THE QUEST FOR GROTHENDIECK by Roy Lisker, Ferment Press.
	homepages.feis.herts.ac.uk /~comqcln/grothendieck.html (97 words)

	Volume 2
		Alexandre Grothendieck's EGA V. Part V Elementary Morphisms and M. Artin's Theorem nterpretation and Rendition of his `prenotes'),
		Alexandre Grothendieck's EGA V. Part III: Dimension of the set of exceptional hyperplanes Interpretation and Rendition of his `prenotes',
		Alexandre Grothendieck's EGA V. Part II: Study of a Variable Hyperplane Section (Interpretation and Rendition of his `prenotes')
	www.ulam.usm.edu /ulam_previous.html (410 words)

	Read This: Briefly Noted, June 2004
		In a famous 1954 speech, Hermann Weyl said of Jean-Pierre Serre, "never before have I witnessed such a brilliant ascension of a star in the mathematical sky as yours." Surely Weyl would have been equally impressed that Serre's star is still burning bright some 50 years later.
		Had Weyl lived but a bit longer he would have seen the comet that was Alexandre Grothendieck.
		It was visibly coming to those who looked in the right place in 1954, arguably brighter than all the other celestial objects in the period 1958-1970, and then occasionally visible (but only by telescope) since.
	www.maa.org /reviews/brief_jun04.html (2003 words)

	free electronic SGA project (Site not responding. Last check: 2007-11-01)
		The various volumes of the ``Seminaire de Geometrie Algebrique'' of Alexandre Grothendieck, published by Springer in the Lecture Notes in Mathematics more than 20 years ago are sold out and no longer available.
		It seems to be impossible to reach the main author, Grothendieck himself, but I (Bas Edixhoven; I do take responsibility for this statement) do not expect him to be against this project.
		For this volume, the only author other than Grothendieck is Michèle Raynaud, and she has given her permission for the project.
	www.math.leidenuniv.nl /~edix/public_html_rennes/sgahtml (563 words)

	Quest for Alexandre Grothendieck (Site not responding. Last check: 2007-11-01)
		Although his productive research ended in 1975, many mathematicians maintain that Alexandre Grothendieck is the greatest living mathematician.
		The author organized a committee to search for him that led to his discovery, in good health and busily at work, in September, 1996.
		This committee has since become the Grothendieck Biography Project.
	www.fermentmagazine.org /Publicity/Science/quest.html (336 words)

	[No title] (Site not responding. Last check: 2007-11-01)
		It is my responsibility as a conscientious reporter, to let you know that I have studied the old, classical Algebraic Geometry, (notably the texts of Hodge and Pedoe), and various branches of classical Number Theory, such as Analytic Number Theory, Additive Number Theory, the Geometry of Numbers, Diophantine Approximation, and all that.
		In all fairness to Thom, it is known that Alexandre Grothendieck didn't treat him very well when they were both at the Institute des Hautes Etudes Scientifiques (the French Institute for Advanced Study), in the 70's.
		To Grothendieck, Thom and anyone else associated with the Institute was, prima facie, a capitalistic tool, stoodge, running dog, and unregenerable militarist.
	rendezvous.com /tangledweb/conferences/fermat/aug11.html (249 words)

	Deligne biography
		These conjectures were both exceptionally hard to settle (the best specialists, including A Grothendieck, had worked on them) and most interesting in view of the far-reaching consequences of their solution.
		It has turned Grothendieck's philosophy of motives from a conjectural program into what is the driving force behind many of the most subtle areas of current algebraic geometry and arithmetic.
		Through an unparalleled blend of penetrating insights, fearless technical mastery and dazzling ingenuity, Deligne has singlehandedly brought about a new understanding of the cohomology of varieties, both classical and in finite characteristic, with numerous applications to deep problems in geometry and number theory.
	www-groups.dcs.st-and.ac.uk /~history/Biographies/Deligne.html (1001 words)

	Institut des Hautes Études Scientifiques - Wikipedia, the free encyclopedia
		The strong personality of Alexandre Grothendieck and the broad sweep of his revolutionizing theories were a dominating feature of the first ten years at the IHÉS. René Thom was another prominent figure in its early history.
		Some of the top mathematicians who were or are now permanent professors at the IHÉS include Alexandre Grothendieck, Jean Bourgain, Alain Connes, Pierre Deligne, René Thom, Pierre Cartier, Mikhail Gromov, Maxim Kontsevich, and Laurent Lafforgue.
		This page was last modified 11:04, 4 September 2006.
	en.wikipedia.org /wiki/IHES (325 words)

	Webspace: Chris Holt
		Grothendieck is mainly famous for his work on algebraic geometry, in which he introduced the concept of "schemes" to provide a modern framework for the subject.
		He was also interested in reformulating the foundations of topology, which is reflected in "Pursuing Stacks".
		L.Breen, `Bitorseurs et cohomologie non-Ab\'elienne', The Grothendieck Festschrift: a collection of articles written in honour of the 60th birthday of Alexander Grothendieck, Vol.
	homepages.cs.ncl.ac.uk /chris.holt/home.formal/workroom/library/category.theory.2.html (1582 words)

	Comme Appelé du Néant (Site not responding. Last check: 2007-11-01)
		My first encounter with the name of Alexandre Grothendieck was in the mathematics library at university, in my 1st year of undergraduate studies.
		It was Grothendieck, of course (yeah, my friend had a good laugh over coffee that day).
		John thinks that Grothendieck is a "visionary mathematician and quite the cool back in the 60's", and I think many would agree!
	commeappeleduneant.blogspot.com (2627 words)

	[No title]
		Scanned version available from the Grothendieck Circle at http://www.math.jussieu.fr/~leila/mathtexts.php I owe somebody enormous thanks for sending this to me, but I won't mention his name, since I don't want people pestering him for copies.
		(This no longer matters, now that it's available online.) Grothendieck is mainly famous for his work on algebraic geometry, in which he introduced the concept of "schemes" to provide a modern framework for the subject.
		I now foresee (after successive extensions of the initial project) that the manuscript of the whole of the two volumes, which I hope to finish definitively in the course of this year, will be about 1500 typed pages in length.
	math.ucr.edu /home/baez/twf_ascii/week35 (1697 words)

	Amazon.fr : Grothendieck-Serre Correspondence: Livres en anglais: Alexandre Grothendieck,Pierre Colmez,Jean Pierre ... (Site not responding. Last check: 2007-11-01)
		Amazon.fr : Grothendieck-Serre Correspondence: Livres en anglais: Alexandre Grothendieck,Pierre Colmez,Jean Pierre Serre
		This extraordinary volume contains a large part of the mathematical correspondence between A. Grothendieck and J-P. Serre.
		In the book, the reader can follow the creation of some of the most important notions of modern mathematics.
	www.amazon.fr /exec/obidos/ASIN/082183424X (314 words)

	alexandre magno aouila goulart - ResearchIndex document query
		The Design and Implementation of Guaraná - Alexandre Oliva, Luiz Eduardo..
		Finally, we are grateful to Alexandre Marc for consistent and enthusiastic support.
		A Mathematical Model for the evaporation of a Liquid Fuel..
	citeseer.ist.psu.edu /cis?q=Alexandre+Magno+Aouila+Goulart (435 words)

	Amazon.com: Alexandre Grothendieck's EGA V: Interpretation and rendition of his "prenotes": Books: A Grothendieck (Site not responding. Last check: 2007-11-01)
		Amazon.com: Alexandre Grothendieck's EGA V: Interpretation and rendition of his "prenotes": Books: A Grothendieck
		This item is not eligible for Amazon Prime, but over a million other items are.
		Alexandre Grothendieck's EGA V: Interpretation and rendition of his "prenotes" (Unknown Binding)
	www.amazon.com /exec/obidos/external-search?mode=blended&tag=dragoncon&keyword=Prenote (295 words)

	The Mathematics Genealogy Project - Alexandre Grothendieck (Site not responding. Last check: 2007-11-01)
		Click here to see the students listed in chronological order.
		According to our current on-line database, Alexandre Grothendieck has 8 students and 120 descendants.
		If you have additional information or corrections regarding this mathematician, please use the update form.
	www.genealogy.ams.org /html/id.phtml?id=31245 (66 words)

	week 35
		One reason why I'm interested in this letter is that Grothendieck seems to have understood the importance of "higher algebraic structures" before most people.
		The idea is that all the cutting-and-pasting constructions in n-dimensional topology can be described algebraically in the cobordism n-category.
		In any event, these marvelous algebraic structures have been cropping up more and more in physics (see especially Crane's stuff listed in "week2" and Freed's paper listed in "week12"), so I got ahold of a copy of Grothendieck's letter and have begun trying to understand it.
	www.gg.caltech.edu /~avalos/stuff/download/Baez/week35.html (1861 words)

	Math & Stat Publications
		Alexandre Grothendieck's EGAV, Part IV: Interpretation and Rendition of his "prenote",
		Alexandre Grothendieck's EGAV, Part III: Dimension of the Set Exceptional Hyperplanes,
		Alexandre Grothendieck's EGAV, Part I: Hyperplane Sections and Conic Projections (1),
	www.bgsu.edu /departments/math/faculty/research.html.old (1491 words)

	Science Math History People (Site not responding. Last check: 2007-11-01)
		The Grothendieck Biography Project - Links relating to Alexandre Groethendieck.
		The Grothendieck Circle - Aims to make publicly available materials written by and about Alexandre Grothendieck.
		Made contributions to algebraic geometry, homological algebra and functional analysis.
	www.mf1.it /poleposition/search/directory.asp?ctg=Science/Math/History/People (1181 words)

	EasyBookSearch.com - Alexandre Grothendieck, Cheap Books, Compare Book Prices in A Click!
		by Alexandre Grothendieck Pierre Colmez Jean Pierre Serre
		by Alexandre Herculano De Carvalho E Arabujo Alexandre Herculano
		by Alexandre Dumas Alexandre Trois Mousquetaires Dumas Victor Ambrus
	www.easybooksearch.com /authors/Alexandre_Grothendieck (209 words)

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