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Encyclopedia > Laurent Lafforgue

Laurent Lafforgue (born November 6, 1966, in Antony, France) is a French mathematician. November 6 is the 310th day of the year (311th in leap years) in the Gregorian Calendar, with 55 days remaining. ... 1966 (MCMLXVI) was a common year starting on Saturday (the link is to a full 1966 calendar). ... Saint-Saturnin church Antony is a commune in the southern suburbs of Paris, France. ... Leonhard Euler is considered by many people to be one of the greatest mathematicians of all time A mathematician is a person whose primary area of study and research is mathematics. ...


He entered the École Normale Supérieure in 1986. In 1994 he received his Ph.D. in the Arithmetic and Algebraic Geometry team at the Université de Paris-Sud. Currently he is a research director of CNRS, detached as permanent professor of mathematics at the Institut des Hautes Études Scientifiques (I.H.E.S) in Bures-sur-Yvette, France. The quadrangle at the main ENS building on rue dUlm is known as the Cour aux Ernests – the Ernests being the goldfish in the pond. ... 1986 (MCMLXXXVI) was a common year starting on Wednesday of the Gregorian calendar. ... 1994 (MCMXCIV) was a common year starting on Saturday of the Gregorian calendar, and was designated as the International Year of the Family and the International Year of the Sport and the Olympic Ideal. // Events January Bill Clinton January 1 : North American Free Trade Agreement (NAFTA) goes into effect. ... This article or section does not cite its references or sources. ... Arithmetic is the current mathematics collaboration of the week! Please help improve it to featured article standard. ... Algebraic geometry is a branch of mathematics which, as the name suggests, combines abstract algebra, especially commutative algebra, with geometry. ... The University of Paris-Sud (French: Université de Paris-Sud) is a branch of the University of Paris located in Orsay. ... The Centre National de la Recherche Scientifique (CNRS) is one of the most prominent scientific research institutions in France. ... Euclid, a famous Greek mathematician known as the father of geometry, is shown here in detail from The School of Athens by Raphael. ... IHÉS main building The Institut des Hautes Études Scientifiques (I.H.É.S.) is a French institute supporting advanced research in mathematics and theoretical physics. ... Bures-sur-Yvette is a French commune, located in the Essonne département in the Île_de_France région. ...


In 2002 at the 24th International Congress of Mathematicians in Beijing, China he received the Fields Medal together with Vladimir Voevodsky. Lafforgue made outstanding contributions to Langlands' program in the fields of number theory and analysis, and in particular proved the Langlands conjectures for GLn of a function field. The crucial contribution by Lafforgue to solve this question is the construction of compactifications of certain moduli stacks of shtukas. The monumental proof is the result of more than six years of concentrated efforts. For album titles with the same name, see 2002 (album). ... Beijing (Chinese: 北京; Pinyin: Běijīng; ; IPA: ), a city in northern China (formerly spelled in English as Peking or Peiking), is the capital of the Peoples Republic of China (PRC). ... The Fields Medal is a prize awarded to up to four mathematicians not over forty years of age at each International Congress of the International Mathematical Union (therefore once every four years). ... Vladimir Voevodsky (Russian: Владимир Воеводский) (born June 4, 1966) is a Russian mathematician. ... In mathematics, the Langlands program is a web of far-reaching and influential conjectures that connect number theory and the representation theory of certain groups. ... To meet Wikipedias quality standards, this article or section may require cleanup. ... Analysis is the generic name given to any branch of mathematics that depends upon the concepts of limits and convergence. ... In mathematics, a Drinfeld module (or elliptic module) is roughly a special kind of module over a ring of functions on a curve over a finite field, generalizing the Carlitz module. ... In mathematics, a proof is a demonstration that, assuming certain axioms, some statement is necessarily true. ...


References

  • Lafforgue, L. Chtoucas de Drinfeld et applications. [Drinfeld shtukas and applications] Proceedings of the International Congress of Mathematicians, Vol. II (Berlin, 1998). Doc. Math. 1998, Extra Vol. II, 563--570
  • Lafforgue, Laurent Chtoucas de Drinfeld, formule des traces d'Arthur-Selberg et correspondance de Langlands. [Drinfeld shtukas, Arthur-Selberg trace formula and Langlands correspondence] Proceedings of the International Congress of Mathematicians, Vol. I (Beijing, 2002), 383--400, Higher Ed. Press, Beijing, 2002.
  • Gérard Laumon, The work of Laurent Lafforgue Proceedings of the ICM, Beijing 2002, vol. 1, 91--97
  • G. Laumon La correspondance de Langlands sur les corps de fonctions (d'apres Laurent Lafforgue) Seminaire Bourbaki, 52eme annee, 1999-2000, no. 873


Fields Medalists

2002: Lafforgue | Voevodsky || 1998: Borcherds | Gowers | Kontsevich | McMullen || 1994: Zelmanov | Lions | Bourgain | Yoccoz || 1990: Drinfeld | Jones | Mori | Witten 
1986: Donaldson | Faltings | Freedman || 1982: Connes | Thurston | Yau || 1978: Deligne | Fefferman | Margulis | Quillen || 1974: Bombieri | Mumford 
1970: Baker | Hironaka | Novikov | Thompson || 1966: Atiyah | Cohen | Grothendieck | Smale || 1962: Hörmander | Milnor || 1958: Roth | Thom || 1954: Kodaira | Serre 
1950: Schwartz | Selberg || 1936: Ahlfors | Douglas The Fields Medal is a prize awarded to up to four mathematicians not over forty years of age at each International Congress of the International Mathematical Union (therefore once every four years). ... Vladimir Voevodsky (Russian: Владимир Воеводский) (born June 4, 1966) is a Russian mathematician. ... Richard Ewen Borcherds (born November 29, 1959) is a mathematician specializing in group theory and Lie algebras. ... William Timothy Gowers (born November 20, 1963, Wiltshire, United Kingdom) is a British mathematician. ... Maxim Kontsevich (Russian: Максим Концевич) (born August 25, 1964) is a Russian mathematician. ... Curtis T McMullen (born 21 May 1958) is Professor of Mathematics at Harvard University. ... Efim Isaakovich Zelmanov (born September 7, 1955) is a mathematician, known for his work on combinatorial problems in nonassociative algebra and group theory, including his solution of the restricted Burnside problem. ... Pierre-Louis Lions (August 11, 1956 - ) is a French mathematician. ... Jean Bourgain (born February 28, 1954, Ostende, Belgium), is a professor of mathematics at the Institute for Advanced Study. ... Jean-Christophe Yoccoz (born May 29, 1957) is a French mathematician. ... Vladimir Gershonovich Drinfeld (Владимир Гершонович Дринфельд) is a mathematician born February 14, 1954 in Ukraine. ... Vaughan Frederick Randal Jones (born 31 December 1952) is a New Zealand mathematician, known for his work on von Neumann algebras, knot polynomials and conformal field theory. ... Shigefumi Mori (森 重文 Mori Shigefumi, born February 23, 1951) is a Japanese mathematician, known for his work in algebraic geometry, particularly in relation to the classification of three-folds. ... Edward Witten at the Institute for Advanced Study Edward Witten (born August 26, 1951) is an American mathematical physicist, Fields Medalist, and professor at the Institute for Advanced Study. ... Simon Kirwan Donaldson, born in Cambridge in 1957, is a mathematician famous for his work on exotic four-dimensional spaces in differential geometry using instantons, and the discovery of new differential invariants. ... Gerd Faltings (born 28 July 1954) is a German mathematician known for his work in arithmetic algebraic geometry. ... Michael Hartley Freedman (born 21 April 1951 in Los Angeles, California, USA) is a mathematician at Microsoft Research. ... Alain Connes (born April 1, 1947) is a French mathematician, currently Professor at the College de France (Paris, France), IHES (Bures-sur-Yvette, France) and Vanderbilt University (Nashville, Tennessee). ... William Thurston William Paul Thurston (born October 30, 1946) is an American mathematician. ... Shing-Tung Yau at Harvard Law School dining hall Shing-Tung Yau (丘成桐; Pinyin: QÄ«u Chéngtóng; born April 4, 1949) is a prominent mathematician working in differential geometry, and involved in the theory of Calabi-Yau manifolds. ... Pierre Deligne, March 2005 Pierre Deligne (born 3 October 1944) is a Belgian mathematician. ... Charles Louis Fefferman (born April 18, 1949) is a renowned mathematician at Princeton University. ... Gregori Aleksandrovich Margulis (first name often given as Gregory, Grigori or Grigory) (born February 24, 1946) is a mathematician known for his far-reaching work on lattices in Lie groups, and the introduction of methods from ergodic theory into diophantine approximation. ... Daniel Quillen (born June 21, 1940) is an American mathematician, a Fields Medallist, and the current Waynflete Professor of Pure Mathematics at Magdalen College, Oxford. ... Enrico Bombieri (born November 26, 1940) is a Italian mathematician, born in Milan. ... David Bryant Mumford (born 11 June 1937) is an American mathematician known for distinguished work in algebraic geometry, and then for research into vision and pattern theory. ... Alan Baker (born on August 19, 1939) is an English mathematician. ... Heisuke Hironaka (広中 平祐 Hironaka Heisuke, born April 9, 1931) is a Japanese mathematician. ... Sergei Petrovich Novikov (also Serguei) (Russian: Сергей Петрович Новиков) (born 20 March 1938) is a Russian mathematician, noted for work in both algebraic topology and soliton theory. ... John Griggs Thompson (born 13 Oct 1932) is a mathematician noted for his work in the field of finite groups. ... Sir Michael Francis Atiyah, OM, FRS (born 22 April 1929) is a mathematician who was born in London. ... Paul Joseph Cohen (born April 2, 1934) is an American mathematician. ... Alexander Grothendieck (Berlin, March 28, 1928) is one of the most important mathematicians of the 20th century. ... Stephen Smale Stephen Smale (born July 15, 1930) is an American mathematician from Flint, Michigan, and winner of the Fields Medal in 1966. ... Lars Hörmander Lars Valter Hörmander (born 24 January 1931) is a Swedish mathematician and one of the leading experts in partial differential equations. ... John Willard Milnor (b. ... Klaus Friedrich Roth (Roth is pronounced ROW-th) (29 October 1925) is a British mathematician known for work on diophantine approximation, the large sieve, and irregularities of distribution. ... René Thom (September 2, 1923 - October 25, 2002) was a French mathematician and founder of the catastrophe theory. ... Kunihiko Kodaira (小平 邦彦 Kodaira Kunihiko, 16 March 1915 – 26 July 1997) was a Japanese mathematician known for distinguished work in algebraic geometry and the theory of complex manifolds; and as the founder of the Japanese school of algebraic geometers. ... Jean-Pierre Serre (born September 15, 1926) is one of the leading mathematicians of the twentieth century, active in algebraic geometry, number theory and topology. ... Laurent Schwartz (5 March 1915 – 4 July 2002 in Paris) was a French mathematician. ... Atle Selberg (born June 17, 1917) is a Norwegian mathematician known for his work in analytic number theory, and in the theory of automorphic forms, in particular bringing them into relation with spectral theory. ... Lars Valerian Ahlfors (April 18, 1907 - October 11, 1996) was a Finnish mathematician, remembered for his work in the field of Riemann surfaces and his text on complex analysis. ... Jesse Douglas (July 3, 1897 - October 7, 1965) was an American mathematician. ...

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  Results from FactBites:
 
Laurent Lafforgue - Wikipedia, the free encyclopedia (251 words)
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.
Background on 2002 Fields and Nevanlinna Awardees (1845 words)
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.
  More results at FactBites »


 

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