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         Drinfeld Vladimir:     more detail
  1. Algebraic Geometry and Number Theory: In Honor of Vladimir Drinfeld's 50th Birthday (Progress in Mathematics)
  2. Chiral Algebras (Colloquium Publications (Amer Mathematical Soc)) by Alexander Beilinson, Vladimir Drinfeld, 2004-05

61. People Whose Names Are Embedded In Math Subject Classifcation
01A70 drinfeld, vladimir (b. 1954) Fields medalist 1990, Ukraine (Now at Chicago) (1948 .) Kasparov, Gennadi G (1954- .) drinfeld, vladimir
http://www.math.niu.edu/~rusin/known-math/98/MSC.names
Date: Sun, 6 Jun 1999 12:40:49 +0200 From: "Yuri I. Manin" Date: Thu, 28 Mar 2002 12:43:10 -0800 From: "Antreas P. Hatzipolakis" Cc: rusin@math.niu.edu, a_arakelov@yahoo.co.uk To: hyacinthos@yahoogroups.com Subject: Suren Arekelov This list is devoted to Triangle Geometry. However, from time to time, will be allowed discussions on themes of general interest. Especially when the geometric traffic is not too much. (like this day). Some time ago I asked for information (in fact I FWD-ed an e-mail of D. Rusin) about a notable mathematician who disappeared from the math. horizon. The mathematician is the algebraic geometer Suren Arakelov. Andrei Arakelov has kindly sent the following: > > Date: Thu, 28 Mar 2002 11:29:55 +0000 (GMT) > From: Andrei Arakelov > Subject: Suren Arakelov > To: Antreas P. Hatzipolakis Date: Sat, 05 Feb 2005 11:35:53 +0000 Message-ID:

62. Faculty Of Mathematics - Prof. Vladimir Berkovich
Faculty of Mathematics, Professor vladimir Berkovich. The automorphism groupof the drinfeld halfplane CR Acad. Sci. Paris Sér. I Math. 321 (1995), no.
http://www.wisdom.weizmann.ac.il/~vova/
Professor Vladimir Berkovich
Department of Mathematics
Ziskind Building, Room 259
Weizmann Institute of Science
P.O.B. 26, Rehovot 76100, Israel Tel: +972-8-934-3216
Fax: +972-8-934-4122
Vladimir.Berkovich weizmann.ac.il
Research Interests
  • p-Adic Analytic Spaces
    Number Theory
    Algebraic Geometry
Selected Publications
Integration of one-forms on p-adic analytic spaces
Preprint; October 10, 2004 (revised on May 17, 2005). PDF 878 KB Smooth p-adic analytic spaces are locally contractible. II
in Geometric Aspects of Dwork Theory, PDF 569 KB A result on vanishing cycles Appendix to Harris, M.; Taylor, R.: The Geometry and Cohomology of Some Simple Shimura Varieties Annals of Mathematics Studies , Princeton University Press, Princeton and Oxford, 2001, 257-260. PDF *96 KB An analog of Tate's conjecture over local and finitely generated fields Internat. Math. Res. Notices , no. 13, 665-680. PDF 167 KB Smooth p-adic analytic spaces are locally contractible Invent. Math. (1999), no. 1, 1-84. PDF 676 KB p-Adic Analytic Spaces in Proceedings of the International Congress of Mathematicians, Berlin, August 1998

63. Kosmologika - Vetenskapsmännen
Translate this page 1990 drinfeld, vladimir 1990 Jones, Vaughan 1990 Mori, Shigefumi 1990 Witten,Edward (1951- ) 1994 Lions, Pierre-Louis 1994 Yoccoz, Jean-Christophe
http://www.kosmologika.net/Scientists/
På Kosmologikas sidor återfinns på många ställen länkar till kortare biografier över olika vetenskapsmän som har deltagit i utvecklandet av dessa spännande teorier. På denna sida finns länkar till alla dessa biografier samlade på ett enda ställe. Personerna är dels listade i både bokstavs- och födelsedagsordning men även efter nobelprisår (för de personer som har fått Nobelpriset) samt i betydelsefullhetsordning för vetenskapen. Dessutom har jag nyligen lagt till Brucemedaljörer som är den högsta utmärkelsen inom astronomin, Nobelpriset undantaget, samt Fields medalj som är matematikens Nobelpris och som dessutom bara delas ut en gång vart fjärde år samt slutligen Wolfpriset som är ett israeliskt pris som rankas steget under Nobelpriset men som ofta är åtminstone ett decennium snabbare med utnämningarna. Alfabetisk ordning Ahlfors, Lars (1907- )
Alembert, Jean le Ronde d' (1717-1783)

Alfvén, Hannes Olof Gösta (1908-1995)

Alpher, Ralph A. (1921- )
...
Zwicky, Fritz (1898-1974)

Födelsedagsordning Fermat, Pierre de (1601-1665)
Pascal, Blaise (1623-1662)

Huygens, Christiaan (1629-1695)

Newton, Isaac (1642-1727)
...
Smarr, Larry (194?- )

Nobelpristagare Lorentz, Henrik Antoon (1853-1928)

64. Kleene Math Library New Books - June 2004
Beilinson, Alexander and vladimir drinfeld. CHIRAL ALGEBRAS. Colloquiumpublications (American Mathematical Society), v. 51.
http://math.library.wisc.edu/newbooks/2004-06.htm
KLEENE MATHEMATICS LIBRARY University of Wisconsin-Madison ACQUISITIONS: June 2004 The following items were received by the Kleene Mathematics Library during the month of June 2004. These items will be placed on the New Book Shelf for one month and may be borrowed at any time. If you have any questions, please contact a library staff member. Books (in call number order):
LePore, Ernest. MEANING AND ARGUMENT : an introduction to logic through language. Rev. ed. Malden, MA : Blackwell Pub., c2003. BC135 C336 1955 (GIFT)
Carrol, Lewis. SYMBOLIC LOGIC: PART I: ELEMENTARY. 4th Edition. London, Macmillan, 1897. New York, Berkeley Enterprises, 1955.
Rott, Hans. CHANGE, CHOICE AND INFERENCE: A STUDY OF BELIEF REVISION AND NONMONOTONIC REASONING. Oxford Logic Guides 42. Oxford ; New York : Clarendon, 2001.
MATHEMATICS OF FINANCE. George Yin and Qing Zhang, Editors. Contemporary Mathematics 351. Providence, RI : American Mathematical Society, c2004. LH 7AK25 P v. 234
Mitidieri, E. and S. I. Pohozaev. APRIORI ESTIMATES AND BLOW-UP OF SOLUTIONS TO NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS AND INEQUALITIES. Proceedings of the Steklov Institute of Mathematics, volume 234. Moscow, Russia : Maik Nauka/Interperiodica Pub., 2001. LH 7AK25 P v. 243

65. Medallas
Translate this page 1990, vladimir drinfeld, USRR. Vaughan Jones, Nueva Zelanda. Shigefumi Mori,Japón. Edward Witten, USA. 1994, Pierre Louis Lions, Francia
http://www.sectormatematica.cl/historia/medallas.htm
MEDALLAS FIELDS "TRANSIRE SVVM PECTUS MVNDOQUE POTIRE" "Sobrepasar su propio entendimiento y apoderarse del mundo" Como un claro respaldo al estudio de las matemáticas en China, por primera vez en sus 105 años de historia, el XXIV congreso mundial de matemáticos, se ha celebrado en un país en vías de desarrollo. El evento comenzó, como es habitual, con la entrega de las medallas Fields, consideradas el premio Nobel de las matemáticas . El galardón, que se concede cada cuatro años, ha sido para el investigador francés Laurent Lafforgue y el ruso Vladimir Voevodsky Lafforgue, profesor del Instituto de Altos Estudios Científicos de París, trabaja en el programa ‘Langlands’, un concepto que busca una unidad subyacente entre varias disciplinas matemáticas. Vladimir Voevodsky, de origen ruso, es especialista en geometría algebraica abstracta. La medalla Fields, que sólo puede concederse a personas menores de 40 años, está acuñada en oro y lleva grabado en su anverso el siguiente lema: "Congregati ex toto orbe mathematici ob scriptia insignia tribuere" ("Los matemáticos de todo el mundo aquí reunidos rinden tributo por un trabajo extraordinario").

66. Autumn 2002 Course Descriptions
Beilinson, Alexander and drinfeld, vladimir. This seminar is devoted to theGeometric Langlands theory and related subjects, which covers topics in
http://www.math.uchicago.edu/2002-2003.html
2002-2003 Advanced Graduate Courses
Autumn
Math 34100, Geometric Literacy Farb, Benson This years topics might include: basics of symplectic geometry, harmonic maps in geometry, pseudo-Anosov homeomorphisms and Thurston's compactification of Teichmuller space, algebraic geometry for non-algebraic geometers. Prereq: First year graduate sequence Math 35002, Introduction to D-modules Ginzburg, Victor Introduction to the theory of algebraic D-modules after Kashiwara-Beilinson-Bernstein (more accessible than Borel's book on D-modules). Prereq: Basic algebraic and differential geometry (rather little) Math 36000, Topology Proseminar May, J. Peter Math 37002, Boundary Value Problems for Elliptic Equations Nadirashvili, Nikolai We will consider boundary value problems for general linear elliptic second order equations and for some types of nonlinear equations, including the minimal surface equation, Monge-Ampere equation. Math 38500, Applied Mathematics Literacy Scott, Ridgway
  • models for fluids from Newton to Rivlin and Eriksen (existence, uniqueness, computational algorithms); models for economic equilibrium based on Monge-Ampere type equations
Guest lectures by experts on particular subjects will be featured.

67. Fields Medal Winners
vladimir drinfeld (Phys. Inst. Kharkov) Made significant contributions toLangland s program and quantum groups. Vaughan FR JONES (University of
http://www.liv.ac.uk/~mp0u8024/maths/fields.htm
Fields Medal Winners Lars Valerian AHLFORS (Harvard University) - Awarded medal for research on covering surfaces related to Riemann surfaces of inverse functions of entire and meromorphic functions. Opened up a new ideas in analysis. Jesse DOUGLAS (Massachusetts Institute of Technology) - Did important work of the Plateau problem which is concerned with finding minimal surfaces connecting and determined by some fixed boundary. Laurent SCHWARTZ (University of Nancy) - Developed the theory of distributions, a new notion of generalized function motivated by the Dirac delta-function of theoretical physics. John Willard MILNOR (Princeton University) - Proved that a 7-dimensional sphere can have several differential structures; this led to the creation of the field of differential topology. Michael Francis ATIYAH (Oxford University) - Did joint work with Hirzebruch in K -theory; proved jointly with Singer the index theorem of elliptic operators on complex manifolds; worked in collaboration with Bott to prove a fixed point theorem related to the "Lefschetz formula". Paul Joseph COHEN (Stanford University) - Used technique called "forcing" to prove the independence in set theory of the axiom of choice and of the generalized continuum hypothesis. The latter problem was the first of Hilbert's problems of the 1900 Congress.

68. Medallas Fields 2002
Translate this page A comienzos de los años setenta, el joven matemático vladimir drinfeld habiatrabajado el caso de los cuerpos de funciones.
http://personales.ya.com/casanchi/ref/fields2002.htm
Más artículos de reflexiones
MEDALLAS FIELDS 2002
LOS NUEVOS MATEMÁTICOS
La Medalla Fields es el premio de mayor importancia que puede recibir un matemático vivo. Como ocurre con los Premios Nobel, representa para los galardonados el pasar a la Historia de la Ciencia.
Fields Procede el nombre de John Charles Fields (1863-1932), que en 1924 Presidió el Congreso Internacional de Matemáticas, en el cual se hizo la propuesta de concesión a los descubrimientos matemáticos más destacados. Se otorga el premio cada 4 años, y en total pueden recibir la medalla Fields hasta seis matemáticos en cada edición del mismo. Los galardonados han de ser menores de 40 años de edad. Aunque en algunas ocasiones se han concedido hasta un total de cuatro medallas Fields, en la última ocasión, agosto de 2002, solo han sido premiados dos de los posibles candidatos de todo el mundo. Han sido el ruso Vladimir Voevodsky y el francés Laurent Lafforgue. En lo que respecta a la cuantía económica, digamos que es irrisoria comparada con la de los Premios Nobel.
01. Las medallas Fields.

69. Matemáticos De Nuestro Tiempo (4)
Translate this page vladimir Gershonovich drinfeld (1954, Kharkov, Ucrania) vladimir Gershonovichdrinfeld Geometría Algebráica, Teoría de Números, Teoría de grupos
http://personales.ya.com/casanchi/ref/matematicosy04.htm
Más artículos de reflexiones
MATEMÁTICOS DE NUESTRO TIEMPO
(y 4) La matemática actual tiene abiertos fecundos campos de un gran interés. Los grandes matemáticos de la segunda mitad del siglo XX y hasta nuestros días intentan el desarrollo de una matemática acorde con el tiempo en que vivimos, capaz de afrontar el reto que representa la tendencia social tanto como el progreso de las necesidades computacionales de las nuevas ingenierías o el avance vertiginoso de algunas disciplinas como la Astrofísica y la Computación Teórica. Mostramos aqui algunas referencias a su trabajo, utilizando diversas fuentes de datos, entre las que podemos destacar, por su excelente documentación, la base de datos de la Universidad de St. Andrews, Escocia. Es una somera indicación del quehacer en la disciplina de matemáticos de extraordinaria calidad, que nacieron en los últimos años de la década de los 50, ya durante la fase álgida de la Guerra Fría. Damos por terminada aquí, con esto cinco nombres punteros en la matemática actual, a esta pequeña serie de cuatro capítulos, reconociendo sin embargo que aunque son grandes matemáticos todos los que en ella están, no están todos los que son actualmente la élite del quehacer en la disciplina. Esperamos poder ofrecer, en la siguiente actualización de la Web, un nuevo artículo sobre la Medalla Fields del año pasado, 2002, y los dos nuevos grandes matematicos que la consiguieron.

70. Yuri Manin's Emeritierung Conference
1000 vladimir drinfeld Infinitedimensional vector bundles in algebraic geometry;1100 Tea; 1130 Helene Esnault Hodge level, slopes and congruences for
http://www.mpim-bonn.mpg.de/html/services/activities/manin_2005.html
HOME GENERAL INFO PRACTICAL INFO PEOPLE ... DEPARTMENTS
Yuri Manin's Emeritierung Conference
February 24-26 2005 at the MPIM Bonn Organizers: Matilde Marcolli, Ivan Penkov, Don Zagier
THURSDAY 24
  • Friedrich Hirzebruch:
    Opening
    Don Zagier:
    Mock modular forms
    Tea
    Frans Oort:
    Abelian varieties and p-divisible groups
    Ivan Penkov:
    Classical ind-groups and their homogeneous spaces
    Tea Sasha Beilinson: Determinant gerbils
FRIDAY 25
  • Vladimir Drinfeld: Infinite-dimensional vector bundles in algebraic geometry Tea Helene Esnault: Hodge level, slopes and congruences for the number of rational points over finite fields Alain Connes: Moduli space and structure of non-commutative 3-spheres Tea Vera Serganova: Equivariant sheaves and superalgebras
SATURDAY 26
  • Stephen Shatz: Remarks on (non-commutative) algebraic GEOMETRY Tea Maxim Kontsevich: D-modules at infinite prime Misha Kapranov: Noncommutative geometry and the space of paths Yuri Tschinkel: Cubic forms
For any question contact the organizer marcolli@mpim-bonn.mpg.de Impressum

71. [math/0210114] DG Quotients Of DG Categories
From vladimir drinfeld view email Date Tue, 8 Oct 2002 033753 GMT (45kb) Authors vladimir drinfeld Comments 50 pages, Latex; some typographical
http://arxiv.org/abs/math.KT/0210114
Mathematics, abstract
math.KT/0210114
From: Vladimir Drinfeld [ view email ] Date ( ): Tue, 8 Oct 2002 03:37:53 GMT (45kb) Date (revised ): Sat, 12 Oct 2002 17:53:19 GMT (45kb) Date (revised ): Tue, 19 Nov 2002 20:56:56 GMT (48kb) Date (revised ): Tue, 19 Nov 2002 21:47:39 GMT (48kb) Date (revised ): Fri, 6 Dec 2002 03:47:12 GMT (48kb) Date (revised v6): Tue, 20 May 2003 23:59:27 GMT (48kb)
DG quotients of DG categories
Authors: Vladimir Drinfeld
Comments: 50 pages, Latex; some typographical errors corrected, some references added
Subj-class: K-Theory and Homology; Algebraic Geometry; Algebraic Topology; Category Theory
Keller introduced a notion of quotient of a differential graded category modulo a full differential graded subcategory which agrees with Verdier's notion of quotient of a triangulated category modulo a triangulated subcategory. This work is an attempt to further develop his theory.
More than a half of the text is devoted to an overview of "well known" definitions and results. As a result, the e-print is essentially self-contained.
Full-text: PostScript PDF , or Other formats
References and citations for this submission:
CiteBase
(autonomous citation navigation and analysis) Which authors of this paper are endorsers?

72. Matematica - Articoli - Interventi Di…
vladimir drinfeld Vaughan FR JONES Shigefumi MORI Edward WITTEN. 1994. Jean BOURGAINPierreLouis LIONS Jean-Christophe YOCCOZ Efim ZELMANOV
http://matematica.uni-bocconi.it/interventi/medaglie-fields-elenco.htm
Le medaglie FIELDS Lars Valerian AHLFORS
Jesse Douglas Laurent SCHWARTZ
Atle SELBERG Kunihiko KODAIRA
Jean-Pierre SERRE Klaus Friedrich ROTH
THOM
Lars HORMANDER
John Willard MILNOR Michael Francis ATIYAH
Paul Joseph COHEN
Alexander GROTHENDIECK
Stephen SMALE Alan BAKER
Heisuke HIRONAKA
Serge NOVIKOV John Griggs THOMPSON Enrico BOMBIERI David Bryant MUMFORD DELIGNE Charles Louis FEFFERMAN Gregori Alexandrovitch MARGULIS Daniel G. QUILLEN Alain CONNES William P. THURSTON Shing-Tung YAU Simon K. DONALDSON Gerd FALTINGS Michael H. FREEDMAN Vladimir DRINFELD Vaughan F. R.

73. Books On Symmetries And Integrability
ISBN 08218-3530-0 (free e-print); Beilinson, Alexander; drinfeld, vladimir Chiralalgebras. American Mathematical Society Colloquium Publications, 51.
http://www.imath.kiev.ua/~appmath/books-links.html
Some recent books on symmetries, integrability and all that (since 1999)

74. MSN Encarta - Multimedia - Fields Medal
1990, vladimir drinfeld (USSR); Vaughan FR Jones (United States); ShigefumiMori (Japan); Edward Witten (United States)
http://encarta.msn.com/media_701500900/Fields_Medal.html
Web Search: Encarta Home ... Upgrade your Encarta Experience Search Encarta Multimedia from Encarta Appears in
Fields Medal
This international prize for achievement in the field of mathematics is awarded every four years by the International Mathematical Union at the International Congress of Mathematicians. The awards recognize both existing work as well as the promise of future achievement and are presented during the year of the congress to mathematicians under the age of 40. Year Winner(s) Lars Ahlfors (Finland); Jesse Douglas (United States) Atle Selberg (United States); Laurent Schwartz (France) Kunihiko Kodaira (United States); Jean-Pierre Serre (France) Klaus Roth (United Kingdom); Ren© Thom (France) Lars H¶rmander (Sweden); John Milnor (United States) Michael Atiyah (United Kingdom); Paul J. Cohen (United States); Alexander Grothendieck (France); Stephen Smale (United States) Alan Baker (United Kingdom); Heisuke Hironaka (United States); Sergei Novikov (USSR); John G. Thompson (United States) Enrico Bombieri (Italy); David Mumford (United States)

75. Notiziario UMI Agosto-Settembre 2002: Notizie Varie
building on the work of vladimir drinfeld (also a Fields medalist, in 1990) . The second 2002 Fields medalist is vladimir Voevodsky.
http://www.dm.unibo.it/umi/italiano/Varie/2002/varie0809.html
Notiziario UMI Agosto-Settembre 2002 : Notizie Varie
Assemblea IMU e Congresso ICM 2002
The opening ceremony of the 24th session of the International Congress of Mathematicians (ICM2002) was held on August 20 in Beijing. The current session of the ICM was organized by the Chinese Mathematics Society (CMS) under the auspices of the International Mathematical Union (IMU). Il primo Congresso del nuovo millennio ha fatto seguito al Congresso di Berlino del 1998. "This is an important event for the international community of mathematicians,'" says chairman of the ICM2002 local organizing committee Ma Zhiming, CMS president and a research professor at the Academy of Mathematics and System Sciences, CAS. About 4,200 scholars from 101 countries will participate in the eight-day quadrennial meeting to share the latest developments and results. There will be 20 one-hour plenary lectures, 174 45-minute lectures specifically invited by the meeting, about 1,200 15-minute short communication reports and 90 or so posters on display at the session. In addition, 46 satellite conferences will be held before or after the session until August 30 in 32 cities such as Shanghai, Moscow, Seoul, Taipei, Hong Kong, Macao, Hangzhou and Xian. The local organizing committee of the convention will host a series of public talks by inviting celebrated Chinese and foreign scientists such as Prof.

76. Fields Medal: Information From Answers.com
1990 Kyoto, Japan vladimir drinfeld (USSR), Vaughan Frederick RandalJones (NewZeland), Shigefumi Mori (Japan), Edward Witten (US)
http://www.answers.com/topic/fields-medal
showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Wikipedia Best of Web Mentioned In Or search: - The Web - Images - News - Blogs - Shopping Fields Medal 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); Fields Medal The Fields Medal is a prize awarded to up to four mathematicians (not over forty years of age) at each International Congress of International Mathematical Union , since and regularly since at the initiative of the Canadian mathematician John Charles Fields . The purpose is to give recognition and support to young mathematical researchers having already made important contributions. Year Location Winners Beijing China Laurent Lafforgue (France), Vladimir Voevodsky (US) Berlin Germany Richard Ewen Borcherds (GB), William Timothy Gowers (GB), Maxim Kontsevich (Russia), Curtis T. McMullen (US) Z¼rich Switzerland Efim Isakovich Zelmanov (Russia), Pierre-Louis Lions (France), Jean Bourgain (Belgium)

77. International Congress Of Mathematicians MADRID 2006
Translate this page 0 páginas en una de las revistas más prestigiosas del mundo y extiende el trabajodel también medallista Fields vladimir drinfeld.
http://www.icm2006.org/?nav_id=106

78. Fields 2002
Translate this page qui démontrèrent le théorème de Fermat en 1994, et vladimir drinfeld, dontles idées nouvelles lui permirent de démontrer une partie des conjectures de
http://www.palais-decouverte.fr/actu/recomp/fields.htm
Sciences sur Internet Ressources docs Autres expositions Expositions temporaires Expositions à venir Expositions permanentes Palais d'hier ... Palais d'aujourd'hui Palais de demain Tout public Enseignants Groupes L'esprit Palais Electrostatique ... Fiches J. B.
(2) Alexander Grothendieck (1966), Pierre Deligne (1978) et Jean Bourgain (1994).
(3) Pour en savoir plus, consulter l'excellent article de Maurice Mashaal sur :
http://www.spm.cnrs-dir.fr/quoi/distinctions/Fields_Lafforgue.htm

79. Israel - Nobel Prize Winners Join The Condemnation Of The Proposed Scientific Bo
vladimir drinfeld, University of Chicago USA, Fields medalist Charles Fefferman,Princeton University, USA, Fields medalist, NAS Member
http://www.kokhavivpublications.com/2002/israel/05/0205121038.html
Der Krieg ist der Vater der Dinge. -HERAKLIT kokhaviv publications SEARCH CONTACT PRESS ... FEATURES
IMRA Newsletter
Nobel Prize Winners join the Condemnation of the proposed Scientific Boycott of Israel
May 6, 2002 A group of leading professors at the University of Chicago, joined by scientists from around the world has initiated a petition in response to calls for a European boycott of research links with Israel. The anti-boycott petition condemns the boycott calls and urges scientists to foster and develop further scientific ties with their Israeli colleagues. By now, more than 1900 professors and researchers from all over the world have signed the anti-petition and signatures continue to arrive. The list of signatories includes many world class scientists, respected leaders in their fields of research, among them Nobel Laureates, Fields medalists (the most prestigious prize in mathematics), members of American National Academy of Sciences and members of national academies of sciences in other countries. This is an astonishing show of unity and support for Israel among scientists. An editorial in the United Kingdom's "Nature", the leading scientific journal, noted that "Such boycotts are misguided and should be opposed in favour of constructive initiatives."

80. Laurent Lafforgue : Repères Biographiques - Les Membres De L'Académie Des Scie
Translate this page Sur les corps de fonctions, vladimir drinfeld avait démontré dès les années 1970le cas du rang r égal à 2. Cette démonstration avait été rendue possible
http://www.academie-sciences.fr/Membres/L/Lafforgue_Laurent_bio.htm
Laurent Lafforgue Section : Laurent Lafforgue, né le 6 novembre 1966, ancien élève de l'École normale supérieure (1986), docteur ès sciences (1993), a d'abord été chercheur au CNRS dans l'équipe "Arithmétique et Géométrie Algébrique" de l'université Paris 11 à Orsay (1990-2000). Depuis 2000, il est professeur permanent à l'Institut des hautes études scientifiques (IHES).
l r r
Le cas du rang r r égal à 2. Cette démonstration avait été rendue possible par l'invention par Drinfeld d'objets géométriques nouveaux, les espaces de modules de "chtoucas".
Laurent Lafforgue a généralisé en tous rangs l'étude géométrique des "chtoucas" pour démontrer la correspondance. La preuve comprend aussi bien des parties d'analyse, en particulier l'usage de la formule des traces d'Arthur-Selberg et de techniques de fonctions L, que des parties géométriques, la troncature puis la compactification des espaces de "chtoucas". Mises ensemble, elles permettent un calcul partiel de la cohomologie de ces espaces qui suffit pour réaliser géométriquement la correspondance.

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