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Topic: Laurent Lafforgue

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	Laurent Lafforgue - Wikipedia, the free encyclopedia
		Laurent Lafforgue (born November 6, 1966, in Antony, France) is a French mathematician.
		Lafforgue made outstanding contributions to Langlands' program in the fields of number theory and analysis, and in particular proved the Langlands conjectures for GL n
		The crucial contribution by Lafforgue to solve this question is the construction of compactifications of certain moduli stacks of shtukas.
	en.wikipedia.org /wiki/Laurent_Lafforgue (251 words)

	Background on 2002 Fields and Nevanlinna Awardees
		Lafforgue established, for any given function field, a precise link between the representations of its Galois groups and the automorphic forms associated with the field.
		Lafforgue was the first to see how Drinfeld's work could be expanded to provide a complete picture of the Langlands correspondence in the function field case.
		Laurent Lafforgue was born on 6 November 1966 in Antony, France.
	www.ams.org /ams/fields2002-background.html (1845 words)

	Laurent Lafforgue, Fields Medal 2002
		Laurent Lafforgue was born November 6, 1966 at Antony in the Hauts-de-Seine, France.
		In 2000, he was promoted to Directeur de recherche at the CNRS and in November of the same year Laurent Lafforgue accepted an appointment as permanent professor at IHÉS, putting his position at the CNRS on hold.
		Laurent Lafforgue established the Langlands Correspondences for a much wider class of cases than previously known.
	www.ihes.fr /EVENTS/lafforgue/aboutLaf.html (490 words)

	Fields Medals 2002 (Site not responding. Last check: 2007-08-07)
		Laurent Lafforgue, a French mathematician and tenured professor at the Institut des Hautes Études Scientifiques (IHÉS) and a CNRS Research Director, has been recognized for his work on the Langlands Program.
		Various conjectures in the Langlands correspondence have been solved, but the recent contribution from Laurent Lafforgue is one of the most spectacular.
		Laurent Lafforgue joined the CNRS in 1990 at the Orsay "Laboratoire de mathématiques" (jointly-run CNRS and Université de Paris-Sud research laboratory).
	www.cnrs.fr /cw/en/pres/compress/FieldsLafforgue.htm (249 words)

	Citebase - The work of Laurent Lafforgue (Site not responding. Last check: 2007-08-07)
		Lafforgue considers the ℓ-adic cohomology of the moduli stack of rank r Drinfeld shtukas (see the next section) as a representation of GLr (A) × Gal(F /F) × Gal(F /F).
		Bounding the Harder-Narasimhan polygon of a shtuka, Lafforgue defines a family of open substacks (Sht≤P)P which are all of r finite type and whose union is the whole moduli stack.
		Lafforgue shows that the difference between the cohomology of Shtr and the cohomology of any truncated stack Sht≤P is rr negligible.
	citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:math/0212417 (1476 words)

	RugbyRugby : Latest News (Site not responding. Last check: 2007-08-07)
		Agen centre and captain Laurent Lafforgue and Bourgoin's French international number eight Julien Bonnaire have felt the wrath of the French League's disciplinary commission after both were sent off for fighting on October 8.
		Lafforgue took the worst of the punishment for his gratuitous punch to Bourgoin scrum-half Mickaël Forest which sparked the all-out brawl between the two teams.
		Meanwhile, Brive trainer Laurent Rodriguez has been banned from the dug-out for thirty days after he 'insulted the referee' in the wake of his team's 25-17 defeat at Stade Français on September 24.
	www.rugbyrugby.com /news/story_46853.shtml (352 words)

	Math = beauty + truth
		The medals went to Laurent Lafforgue of the Institut des Hautes Etudes Scientifiques, in Bures-sur-Yvette, France, and to Vladimir Voevodsky of the Institute for Advanced Study at Princeton.
		Parts of the proof had already garnered two Fields Medals, and in 1999 Lafforgue made his mark with a 300-page handwritten proof of the conjecture in the case of what are called "function fields." This is where the writer, fearing that he is losing the reader, must bring the discussion back to earth.
		In 2000 Lafforgue was awarded the Clay Research Award by the Clay Mathematical Institute in Massachusetts.
	pasta.cantbedone.org /pages/P8S4EL.htm (2134 words)

	Laurent Lafforgue
		Lafforgue is - rightly so - astonished that, once more, the mission to rebuild the French Public School System should be put in the hands of those who have never stopped undermining its foundations through inconsistent policies and foolish pedagogical measures.
		The aim of such a manoeuvre was clear: to destabilize Laurent Lafforgue and force his resignation, solely because his continued presence would have allowed him to oppose and denounce the continuation of policies which are leading our schools to ruin.
		Jacques Chirac, President of the Republic who nominated Laurent Lafforgue to the HCE, to refuse his resignation.
	michel.delord.free.fr /llaff-eng.html (514 words)

	News & Views - Two Mathematicians Awarded Fields Medal Prize (8/20/2002) (Site not responding. Last check: 2007-08-07)
		Franch's Laurent Lafforgue and Vladimir Voevododsky from Russia won the 2002 Fields Medal Prize at the opening ceremony of the 24th International Congress of Mathematicians.
		Fields Medal Prize The Fields Medal Prize, regarded internationally as the most prestigious prize in the field of mathematics, is awarded to mathematicians under the age of 40.
		France's Laurent Lafforgue and Russia's Vladimir Voevododsky became the latest winners of the prize, at the opening ceremony ofthe 2002 International Congress of Mathematicians (ICM) here Tuesday.
	www.chinahouston.org /news/2002820120423.html (326 words)

	A Fields of their own
		Laurent Lafforgue from the Institute of Advanced Scientific Studies, France, and Vladimir Voevodsky from the Institute of Advanced Study in Princeton received their awards from the President of China, Jiang Zemin, at the International Congress of Mathematics in Beijing in August.
		Lafforgue was recognised for his work on the Langlands Correspondences connecting the areas of number theory and analysis.
		Given that Lafforgue is only 35 and Voevodsky just one year older, we can expect that their best work is yet to come.
	plus.maths.org /issue21/news/prize (352 words)

	Laurent Lafforgue awarded the Fields Medal
		The prestigious Fields Medal is the equivalent of the Nobel prize for Mathematics (except, unlike the more pedestrian Nobels, it is awarded only once every four years).
		One of the winners this year is Laurent Lafforgue.
		He was one of my TAs preparing us for the competitive entrance exams to the Grandes Écoles like Polytechnique or Normale Sup (a "colleur" in French) when I was in my first year of preparatory classes at the Lycée Louis-le-Grand in Paris.
	www.majid.info /mylos/weblog/2002/08/21-1.html (211 words)

	David Harris' Science News
		The 2002 Fields medals, often thought of as the equivalent of Nobel Prizes in Mathematics, have been awarded to Laurent Lafforgue and Vladimir Voevodsky.
		Lafforgue was awarded the medal for his work on the Langlands program, while Voevodsky was recognised for his work in algebraic geometry.
		The Fields medals are awarded every four years at the International Congress of Mathematicians, this year being held in Beijing.
	martin-rigby.com /blog/salon_archive/205.html (512 words)

	[No title] (Site not responding. Last check: 2007-08-07)
		Laurent Lafforgue, French mathematician, permanent professor at the Institut des Hautes Etudes Scientifiques (Institute of High Scientific Studies, IHES), member of the Academy of Science, winner of the Fields Medal in 2002, resigned from the High Committee for Education (HCE) on Monday 21st November 2005.
		Laurent Lafforgue had drafted a letter showing his reticence concerning the qualifications of the self-appointed "experts" of the MEN (Ministry of National Education) to accomplish the tasks set to the HCE (High Committee for Education).
		As foreigners we are not well acquainted with the details of the education policies of France, however, our signatures signify our support and sympathy for the general thrust of this petition.
	www.re2.freesurf.fr /Actions/demll2.html (172 words)

	BBC NEWS \| Science/Nature \| Prize for 'big picture' mathematicians
		The medal is given every four years, and is regarded as the maths equivalent of the Nobel Prizes.
		Laurent Lafforgue and Vladimir Voevodsky won the medal for their work on some of the big current ideas in mathematics.
		Lafforgue, aged thirty-five, works on the "Langlands program", a concept which seeks an underlying unity among various mathematical disciplines.
	news.bbc.co.uk /1/hi/sci/tech/2205826.stm (443 words)

	[ntsfor] next week (Site not responding. Last check: 2007-08-07)
		My goal is to give precise statements of the fundamental results of Lafforgue, as well as to indicate the key ideas in his proof.
		At the end of the talk, there will be an organizational meeting for the seminar that I am organizing this semester to work through Lafforgue's paper.
		If you would like to participate in the seminar but cannot be present for the organizational meeting, please let me know by email (cheewhye@math).
	math.berkeley.edu /pipermail/ntsfor/2002/000060.html (201 words)

	Professor Laurent Lafforgue - CIRS (Site not responding. Last check: 2007-08-07)
		Research interests : Laurent Lafforgue established the Langlands Correspondences for a much wider class of cases than previously known.
		Then, as these varieties did not make it possible to reach all desired representations, Drinfeld introduced the "chtoucas", a step which enabled him to prove the conjecture of Langlands in rank 2.
		This turned out to make the general case accessible, after formidable technical difficulties were surmounted.The crucial contribution by Laurent Lafforgue to solve this question is the construction of compactifications of certain varieties of modules.
	www.cirs.net /researchers/mathematics/LAFFORGUE.htm (357 words)

	3 earn math, computer science awards / Prestigious honors for problem-solving skills to Frenchman, 2 from U.S.
		Awarded every four years for the most outstanding mathematical research, the Fields Medals have been awarded to Vladimir Voevodsky of the Institute for Advanced Study at Princeton, N.J., and Laurent Lafforgue of Institut des Hautes Etudes Scientifiques in Bures-sur-Yvette, France.
		For sheer incomprehensibility, much mathematical research is akin to the most esoteric forms of modern art or poetry: Those few who understand it praise its beauty while shrugging at its uselessness.
		Born in 1966 in Antony, France, Lafforgue is a scholar whose "work is characterized by formidable technical power, deep insight, and a tenacious, systematic approach," according to the International Mathematical Union's statement.
	www.sfgate.com /cgi-bin/article.cgi?f=/c/a/2002/08/20/MN155523.DTL (457 words)

	Ralph Laurent (Site not responding. Last check: 2007-08-07)
		Laurent Lafforguea accept de nous recevoir dans son laboratoire de lInstitut des Hautes tudes scientifiques, Bures-sur-Yvette.
		The film title Saint Ralph is a bit of a joke, referring as it does to a 14-year-old boy, Ralph, who is far from anyone's idea of a saint.
		L'ONU a prorog d'un an maximum le mandat du prsident ivoirien" Laurent PAQUEBO", alors que l'opposition demandait qu'il file toute vapeur et mette les voiles vers le grand large au lieu de s'ancrer son palais prsidentiel, comme une hutre son rocher...
	ralphlaurent.mornralph.com (2904 words)

	Langlands program (Site not responding. Last check: 2007-08-07)
		Gérard Laumon : La correspondance de Langlands sur les corps de fonctions, d'après Laurent Lafforgue, exposé Bourbaki.
		Laurent Berger and Christophe Breuil, Towards a p-adic Langlands programme.
		Laurent Lafforgue, La théorie de Galois et l'arithmétique, Images des Mathématiques 2004, CNRS.
	www.iecn.u-nancy.fr /~gaillard/DIVERS/nant.html (156 words)

	Clay Mathematics Institute
		Andrew Wiles announced the award to Laurent Lafforgue and Arthur Jaffe announced the award to Alain Connes.
		An elegant champagne reception followed in the foyer outside the lecture hall.
		The next day, Laurent Lafforgue and the three long-term CMI fellows — Dennis Gaitsgory, Terence Tao, and Manjul Bhargava — presented mathematical talks.
	www.claymath.org /annual_meeting/2000_Millennium_Event (429 words)

	Facts about vladimir voevodsky (Site not responding. Last check: 2007-08-07)
		Currently he is a full professor at the Institute for Advanced Study in Princeton.
		In 2002 at the 24th International Congress of Mathematicians in Beijing, China he received the Fields Medal together with Laurent Lafforgue.
		He is coauthor (with A. Suslin and E.M. Friedlander) of Cycles, Transfers and Motivic Homology Theories (Princeton University Press, 2000).
	www.supercrawler.com /Facts/vladimir_voevodsky.html (115 words)

	Laurent Lafforgue, Fields Medal 2002 (Site not responding. Last check: 2007-08-07)
		The Fields Medal recognizes monumental mathematical achievements in solving outstanding universal problems.
		The Fields Medal was presented to Laurent LAFFORGUE and Vladimir VOEVODSKY by the President Jiang ZeMing during the opening ceremony of the Congress which gathered mores than 4000 persons.
		Madhu SUDAN (Professor at the MIT, Cambridge, Massachusetts) was awarded the same day the Nevanlinna Prize.
	www.ihes.fr /EVENTS/lafforgue/presseA.html (66 words)

	Middle East Open Encyclopedia: Laurent Lafforgue (Site not responding. Last check: 2007-08-07)
		This is an extract from The Middle East Open Encyclopedia, made possible through the Wikimedia Foundation.
		Iraq Museum International always displays the most recent published revision of the source article, Laurent Lafforgue; all previous versions may be viewed here.
		They link directly to authoring tools for you to start writing a particular article.
	www.baghdadmuseum.org /ref?title=Laurent_Lafforgue (377 words)

	Laurent Lafforgue at MSRI - Pavings of polyhedra, glueing of Schubert cells and compactification of configuration ... (Site not responding. Last check: 2007-08-07)
		Laurent Lafforgue at MSRI - Pavings of polyhedra, glueing of Schubert cells and compactification of configuration spaces, I
		Laurent Lafforgue - Pavings of polyhedra, glueing of Schubert cells and compactification of configuration spaces, I
		A PDF version of the lecture notes is available here.
	www.msri.org /publications/ln/msri/2002/langlands/lafforgue/1 (44 words)

	Report on ICM 2002 (Site not responding. Last check: 2007-08-07)
		The medalists, Laurent Lafforgue, Vladimir Voevodsky, and Madhu Sudan, gave talks at the conference.
		(Lafforgue really wanted to give his talk in French, he said, but consented to give it in English.)
		The plenary talks were in the morning, with invited and contributed talks in the afternoon.
	www.michmaa.org /newsletters/Fall02Newsletter/icm.html (321 words)

	Interview with a mathematician
		This is an interview with Fields Medallist Laurent Lafforgue.
		The French mathematician Laurent Lafforgue (IHÉ; S, France) and the Russian mathematician Vladimir Voevodsky (IAS, Princeton, USA) have received the Fields Medals at the 2002 International Congress of Mathematicians (ICM) in Beijing.
		Here is a short interview held at ICM:
	www.iolfree.ie /~alexandros/articles/lafforgue.htm (373 words)

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