21. MSRI Members 2001-2002 12/15/01. IP. drinfeld, vladimir. University of Chicago http://www.msri.org/people/members/0102members.html

MSRI Home Page The MSRI Community MSRI Members / MSRI Members 2001-2002 MSRI Members 2001-2002 Last updated 8/14/2001. membership@msri.org Name Institution Arrival Departure Program Abramovich, Dan Boston University March unknown ST Akhiezer, Dmitri Institute for Information Transmission Problems IG Alesker, Semyon Tel Aviv University IG Alessandrini, Giovanni Universita degli Studi di Trieste IP Alexeev, Valery University of Georgia ST Ames, Guillermo University of California Berkeley IG Ammari, Habib Ecole Polytechnique IP Arapura, Donu Purdue University ST Ariki, Susumu Tokyo Univ. of Mercantile Marine IMP Arkhipov, Serguei Independent University of Moscow IMP Bailey, Toby University of Edinburgh IG Bantay, Peter Rolland Eotvos Univ. Budapest IMP Bao, Gang

22. Departmental News Prize; Bob Kottwitz wins Teaching Award; vladimir drinfeld receives namedprofessorship; Graduate Students win Teaching Awards; Mathematics http://www.math.uchicago.edu/~chair/int_news.html

Departmental News Sally says students need more than math 'appreciation' Paul Sally speaks on mathematics education Department of Math participates in Carnegie Initiative on the Doctorate Sid Webster wins Bergman Prize ... Bob Zimmer leaves Chicago to become Provost at Brown (see also here and here Older News Jack Cowan studies the visual cortex (April 2001) Bob Zimmer appointed Vice President for Research, Argonne National Labs (January 2001) Math team places fifth against 431 Putnam competitors (May 2000) Mathematics program continues its training of public school teachers (March 2000) 100 Chicago teachers begin mathematics training program (February 2000) Professors train high school teachers to express mathematical concepts (February 1999) Math department welcomes latest addition to its stellar team of recruits (January 1999) Addition of Fields Medalist to faculty completes historic recruiting year (January 1999) Beilinson, Nadirashvili and Scott join the faculty (October 1998) (April 1998) Alex Eskin wins Packard Fellowship (October 1997) Carlos Kenig and Bob Zimmer received named chairs (October 1996) Faculty Award for Graduate Teaching: Peter May (June 1996) Izaak Wirszup lauded for work in mathematics (May 1996) Spencer Bloch and Bob Soare receive named chairs (October 1994)

23. The Mathematics Genealogy Project - Index Of DR Drinen, Michael, University of Washington, 1999. Drinen, Douglas, Arizona StateUniversity, 1999. drinfeld, vladimir, 1978. Driscoll, Mark, Washington University,1975. http://genealogy.math.ndsu.nodak.edu/html/letter.phtml?letter=DR

24. Math Department Welcomes Latest Addition To Its Stellar Team Of Recruits new faculty members last year––Alexander “Sasha” Beilinson, Nikolai Nadirashvili,Ridgway Scott and 1990 Fields Medalist vladimir drinfeld, who arrived http://chronicle.uchicago.edu/990121/drinfeld.shtml

January 21, 1999 Vol. 18 No. 8 current issue archive / search contact Math department welcomes latest addition to its stellar team of recruits Ridgway Scott (left to right, above), Alexander "Sasha" Beilinson and Nikolai Nadirashvili arrived last quarter to begin their faculty appointments in the University's Mathematics Department. Vladimir Drinfeld arrived on campus from Ukraine in December 1998. By Steve Koppes News Office Yuri Manin, director of the Max Planck Institute for Mathematics in Bonn, Germany, offered an equally strong assessment. Seminar Notes Beilinson holds the prestigious first David and Mary Winton Green University Professorship in Mathematics. Since 1989, Beilinson largely has spent fall semesters teaching at the Massachusetts Institute of Technology as a professor of mathematics and working the rest of the year as a researcher at the Landau Institute of Theoretical Physics in Chernogolovka, Russia. Beilinson also collaborates with Drinfeld, whom he has known for more than two decades. Nadirashvili said joining the Chicago faculty enables him to work with Fefferman and Carlos Kenig, Peter Constantin and Raghavan Narasimhan, Professors in Mathematics, whom Nadirashvili regards as the top scholars in his field of analysis.

25. Members0102 14, 2001. drinfeld, vladimir 0102, University of Chicago, drinfeld@math.uchicago.edu,IDAMP Mar 14, 2002 Mar 26, 2002. Druskin, vladimir http://www.msri.org/people/currentmembers/members0102?qs=51

26. Laurent Lafforgue, Dosier De Presse Medaille Fields 2002 Translate this page correspondance hypothétique est le cas n =2 qui a été résolu dans les années1970 par le mathématicien ukrainien vladimir drinfeld (médaille Fields 1990 http://www.ihes.fr/EVENEMENT/lafforgue/fields.html

Laurent LAFFORGUE est né le 6 novembre 1966 à Antony dans les Hauts-de-Seine. Ancien élève de l'École Normale Supérieure de la rue d'Ulm (promotion 1986), il entre au CNRS comme chargé de recherche en 1990 au Laboratoire de mathématiques d'Orsay (unité mixte de recherche du CNRS et de l'université Paris-sud), dans l'équipe " Arithmétique et Géométrie Algébrique ". C'est en 1994 qu'il soutient sa thèse sous la direction de Gérard LAUMON et intitulée " D-Chtoucas de Drinfeld ". En 2000, il est promu directeur de recherche au CNRS et, en novembre de la même année, Laurent LAFFORGUE, en disponibilité de ce poste, rejoint l'IHÉS où il devient professeur permanent. Distinctions Lauréat du " Clay Research Award " Laurent Lafforgue et la correspondance de Langlands n qui porte le nom de "théorie du corps de classe". Il est donc résolu depuis longtemps. Le premier cas significatif pour tester la validité de cette correspondance hypothétique est le cas

27. Laurent Lafforgue, Fields Medal 2002 At the beginning of the seventies, vladimir drinfeld attacked the conjecturesin a more general algebraic context. For that purpose http://www.ihes.fr/EVENTS/lafforgue/aboutLaf.html

A Word About Laurent Lafforgue He entered the CNRS as a research fellow in 1990, joining the research team of Arithmétique et Géométrie Algébrique in the Mathematics Department of the University Paris-Sud, Orsay. In 1994 he presented his thesis "D-Chtoukas de Drinfeld", under the guidance of Gérard Laumon, also from the CNRS. His thesis received recognition with the 1996 Cours Peccot and the Prize Peccot awards, awarded by the Collège of France. In 1998 he was invited speaker at the International Congress ofMathematicians in Berlin. Laurent Lafforgue established the Langlands Correspondences for a much wider class of cases than previously known. These correspondences connect arithmetic properties to analytic properties of some special group representations called automorphic representations. It was formulated by Robert Langlands at the end of the 1960's. In rank 1, this conjecture is nothing other than the now traditional "class field theory" of Emil Artin. In rank 2 and for number fields, the first great confirmations of this conjecture were the proof of the conjecture of Ramanujan per Pierre Deligne and the proof by Langlands itself of the conjecture of Artin except for a case. At the beginning of the seventies, Vladimir Drinfeld attacked the conjectures in a more general algebraic context. For that purpose, he built varieties similar to modular curves and showed certain cases of the conjecture of Langlands in rank 2. 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.

28. List Of Mathematical Topics - Acapedia - Free Knowledge, For All ring Divisor Donaldson Donaldson, Simon Dot product Douady, Adrien Double pendulum Douglas, Jesse drinfeld, vladimir Dual space http://acapedia.org/aca/List_of_mathematical_topics

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29. [math/0210114] DG Quotients Of DG Categories From vladimir drinfeld drinfeld@math.uchicago.edu Date Tue, 8 Oct 2002 033753GMT (45kb) Date (revised v2) Sat, 12 Oct 2002 175319 GMT (45kb) Date http://arxiv.org/abs/math.KT/0210114

Mathematics, abstract math.KT/0210114 ): 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 v5): Fri, 6 Dec 2002 03:47:12 GMT (48kb) DG quotients of DG categories Authors: Vladimir Drinfeld Comments: Comments: 49 pages, Latex; corrected definition of pretriangulatedness 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) Links to: arXiv math find abs

30. [math/0108050] On A Conjecture Of Kashiwara From vladimir drinfeld drinfeld@math.uchicago.edu Date Tue, 7 Aug 2001 182414GMT (16kb) Date (revised v2) Thu, 16 Aug 2001 024131 GMT (16kb) Date http://arxiv.org/abs/math.AG/0108050

Mathematics, abstract math.AG/0108050 ): Tue, 7 Aug 2001 18:24:14 GMT (16kb) Date (revised ): Thu, 16 Aug 2001 02:41:31 GMT (16kb) Date (revised v3): Sun, 21 Oct 2001 22:00:19 GMT (17kb) On a conjecture of Kashiwara Authors: Vladimir Drinfeld Comments: 16 pages, Latex; added references to works by Simpson and Sabbah Subj-class: Algebraic Geometry Kashiwara conjectured that the hard Lefshetz theorem and the semisimplicity theorem hold for any semisimple perverse sheaf M on a variety over a field of characteristic 0. He also conjectured that if you apply to such M the nearby cycle functor corresponding to some function then the successive quotients of the monodromy filtration are semisimple. We prove that these conjectures would follow from de Jong's conjecture on representations modulo l of the arithmetic fundamental group of a variety over a finite field. Full-text: PostScript PDF , or Other formats References and citations for this submission: CiteBase (autonomous citation navigation and analysis) Links to: arXiv math find abs

31. Matemáticos De Nuestro Tiempo (4) Translate this page oo0oo- vladimir Gershonovich drinfeld Geometría Algebráica, Teoríade Números, Teoría de grupos cuánticos. De Kharkov, Ucrania. 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.

32. Background On 2002 Fields And Nevanlinna Awardees He built on work of 1990 Fields Medalist vladimir drinfeld, who proveda special case of the Langlands correspondence in the 1970s. http://www.ams.org/ams/fields2002-background.html

Background on 2002 Fields and Nevanlinna Awardees Laurent Lafforgue Laurent Lafforgue has made an enormous advance in the so-called Langlands Program by proving the global Langlands correspondence for function fields. His work is characterized by formidable technical power, deep insight, and a tenacious, systematic approach. The Langlands Program, formulated by Robert P. Langlands for the first time in a famous letter to Andre Weil in 1967, is a set of far-reaching conjectures that make precise predictions about how certain disparate areas of mathematics might be connected. The influence of the Langlands Program has grown over the years, with each new advance hailed as an important achievement. One of the most spectacular confirmations of the Langlands Program came in the 1990s, when Andrew Wiles's proof of Fermat's Last Theorem, together with work by others, led to the solution of the Taniyama-Shimura-Weil Conjecture. This conjecture states that elliptic curves, which are geometric objects with deep arithmetic properties, have a close relationship to modular forms, which are highly periodic functions that originally emerged in a completely different context in mathematical analysis. The Langlands Program proposes a web of such relationships connecting Galois representations, which arise in number theory, and automorphic forms, which arise in analysis. The global Langlands correspondence proved by Lafforgue provides this complete understanding in the setting not of the ordinary numbers but of more abstract objects called function fields. One can think of a function field as consisting of quotients of polynomials; these quotients can be added, subtracted, multiplied, and divided just like the rational numbers. 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. He built on work of 1990 Fields Medalist Vladimir Drinfeld, who proved a special case of the Langlands correspondence in the 1970s. 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.

33. Name, Vorname Land IMO Fields-Medaillen Borcherds, Richard E. Translate this page Borcherds, Richard E. Großbritannien, 77S, 78G, 1998. drinfeld, vladimir,UdSSR, 69G, 1990. Gowers, W. Timothy, Großbritannien, 81G, 1998. http://www.mathematik-olympiaden.de/IMOs/fields.htm

Erfolge ehemaliger IMO-Teilnehmer Fields-Medaillen Name, Vorname Land IMO Fields-Medaillen Borcherds, Richard E. 77:S, 78:G Drinfeld, Vladimir UdSSR 69:G Gowers, W. Timothy 81:G Lafforgue, Laurent Frankreich 84:S, 85:S Margulis, Grigorij UdSSR 59:T, 62:S Yoccoz, Jean-Christoph Frankreich 73:S, 74:G Nevanlinna-Preise Name, Vorname Land IMO Nevalinna-Preise Razborov, Alexander A. UdSSR 79:G Shor, Peter W. USA 77:S Prof. Dr. H.-D. Gronau mailto:gronau@mathematik.uni-rostock.de

34. Sci.math: Frequently Asked Questions [2/3] U UK 1986 Faltings, Gerd 1954 Germany 32 Princeton U USA 1986 Freedman, Michael LosAngeles CA USA 35 UC San Diego USA 1990 drinfeld, vladimir Kharkov USSR 36 http://www.csc.fi/math_topics/Mail/FAQ/msg00022.html

Subject Prev Subject Next Subject Index sci.math: Frequently Asked Questions [2/3] Subject : sci.math: Frequently Asked Questions [2/3] From alopez-o@maytag.uwaterloo.ca (Alex Lopez-Ortiz) Date : Thu, 16 Jun 1994 02:05:39 GMT Newsgroups sci.math sci.answers news.answers Prev by Subject: sci.math: Frequently Asked Questions [1/3] Next by Subject: sci.math: Frequently Asked Questions [3/3] Index(es): Subject

35. Russian Jewish Encyclopedia drinfeld, vladimir, Gershonovich, 1954, Kharkov, Mathematician, 2306.DRIZ, Shike, Ovseevich, 1908, Krasnoe, Podolia, 1971, Moscow, Author,Ovsey, 2304. http://www.jewishgen.org/Belarus/rje_d.htm

Belarus SIG All Belarus Database Belarus Surname Index Grodno ... Contact us Russian Jewish Encyclopedia Surnames starting with the letter D translated by Josif and Vitaly Charny The following list is a translation of names and minimal personal data for 8,500 people included in Jewish Encyclopedia of Russia (Rossiyskaya Evreiskaya Entsiclopediya); first edition; 1995, Moscow. Famous people who are listed in the book, which in fact is a biographical dictionary, were born in Russia, the USSR, the Russian Empire, or lived there. This is the first edition of this kind in Russia and a large group of specialist from Russia, Israel and other countries participated in the project. There are many more well known people in Russia to be included in the next edition of the book. We have to remember that the success of many of these people was achieved against all odds related to limited opportunities that Jews had in Russia. The translation is an attempt to inform people about this additional source available for researchers. Vitaly Charny A B C D ... Z Surname Given name Patronymic Birth date Birth place Death date Death place Occupation aka (other name) Entry number DAINOV Tsvi Slutsk, Minsk

36. Biography-center - Letter D com/jimmiedriftwood.htm; drinfeld, vladimir wwwhistory.mcs.st-and.ac.uk/~history/Mathematicians/drinfeld.html;Drouais, François http://www.biography-center.com/d.html

Visit a random biography ! Any language Arabic Bulgarian Catalan Chinese (Simplified) Chinese (Traditional) Croatian Czech Danish Dutch English Estonian Finnish French German Greek Hebrew Hungarian Icelandic Indonesian Italian Japanese Korean Latvian Lithuanian Norwegian Polish Portuguese Romanian Russian Serbian Slovak Slovenian Spanish Swedish Turkish D 456 biographies www-history.mcs.st-and.ac.uk/~history/Mathematicians/Durer.html D'Alema, Massimo www.uwgb.edu/galta/333/BIOS98/DALEMA.HTM d'Alembert, Jean-le-Rond www.treasure-troves.com/bios/dAlembert.html d'Alembert, Jean www-history.mcs.st-and.ac.uk/~history/Mathematicians/D'Alembert.html D'Inzeo, Raimondo www.olympic.org/uk/athletes/heroes/bio_uk.asp?PAR_I_ID=25085 Da Costa, Jacob Mendez www.whonamedit.com/doctor.cfm/2452.html Da Vinci, Leonardo www.ibiblio.org/wm/paint/auth/vinci/ Da Vinci, Leonardo www.kfki.hu/~arthp/bio/l/leonardo/biograph.html Dadd, Richard www.getty.edu/art/collections/bio/a281-1.html Daddi, Bernardo www.kfki.hu/~arthp/bio/d/daddi/biograph.html Daddi, Bernardo www.getty.edu/art/collections/bio/a1085-1.html Dae-jung, Kim

37. Professor Laurent Lafforgue - CIRS Pierre Deligne and the proof by Langlands itself of the conjecture of Artin exceptfor a case.At the beginning of the seventies, vladimir drinfeld attacked the http://www.cirs-tm.org/Chercheurs/mathematics/LAFFORGUE.htm

LAFFORGUE, LAURENT Position : Research interests : Awards : 1996: Prix Peccot and Cours Peccot from the College of France 2000: Clay Research Award 2 2001: Jacques Herbrand Prize in Mathematics from the Academy of Sciences of Paris 2002: Fields Medal Publications : (5) Chtoucas de Drinfeld et applications,Proc. Int. Congress Mathematicians, Berlin 1998, vol. II (1998), 563-570. (6) Une compactification des champs classifiant les chtoucas de Drinfeld, J. of the Amer. Math. Soc. 11, 4 (1998), 1001-1036. Centre International de Recherche Scientifique [accueil]

38. ¼öÇлç¶û Q & A (¿ª»ç, ¿ë¾î, À¯·¡) Faltings, Gerd, Germany, 32. Freedman, Michael, USA, 35. 1990, drinfeld, vladimir,USSR, 36. Jones, Vaughan, New Zealand, 38. Mori, Shigefumi, Japan, 39. Witten, Edward,USA, 38. http://www.mathlove.org/pds/mathqa/faq/history/history29.html

Year Name Country Age Ahlfors, Lars Finland Douglas, Jesse USA Schwartz, Laurent France Selberg, Atle Norway Kodaira, Kunihiko Japan Serre, Jean-Pierre France Roth, Klaus Germany Thom, Rene France Hormander, Lars Sweden Milnor, John USA Atiyah, Michael UK Cohen, Paul USA Grothendieck, Alexander Germany Smale, Stephen USA Baker, Alan UK Hironaka, Heisuke Japan Novikov, Serge USSR Thompson, John USA Bombieri, Enrico Italy Mumford, David UK Deligne, Pierre Belgium Fefferman, Charles USA Margulis, Gregori USSR Quillen, Daniel USA Connes, Alain France Thurston, William USA Yau, Shing-Tung Hong Kong Donaldson, Simon UK Faltings, Gerd Germany Freedman, Michael USA Drinfeld, Vladimir USSR Jones, Vaughan New Zealand Mori, Shigefumi Japan Witten, Edward USA Lions, Pierre-Louis France Yoccoz, Jean-Chrisophe France Bourgain, Jean Belgium Zelmanov, Efim Russia Borcherds, Richard E. UK Gowers, W. Timothy UK Kontsevich, Maxim Russia McMullen, Curtis T. USA 1998 Special Wiles, Andrew J. UK Lafforgue, Laurent France Voevodsky, Vladimir

39. Fields 2002 Translate this page études, et l'on peut citer dans ce contexte Andrew Wiles et Robert Taylor, qui démontrèrentle théorème de Fermat en 1994, et vladimir drinfeld, dont les 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

40. Members Of The School Of Mathematics DRESDEN, Arnold, 193536. DRESS, Andreas, 1967-69, 1974-75. DRIBIN, Daniel M. 1936-37.drinfeld, vladimir, 1996-98. DRIVER, Bruce, 1986-87. DUBINS, Lester E. 1957-59. http://www.math.ias.edu/dnames.html

DAI, Xianzhe DALLA VOLTA, Vittorio DANCHIN, Raphaël D'ANGELO, John P. DANI, Shrikrishna G. DANKNER, Alan DANSKIN, John M., Jr. DAR, Aparna DASKALOPOULOS, Georgios DASKALOPOULOS, Panagiota D'ATRI, Joseph E. DAUBECHIES, Ingrid DAVIDS, Norman DAVIDSON, Morley DAVIES, Edward B. DAVIS, Donald M. DAVIS, Horace C. DAVIS, Martin D. DAVIS, Michael DAWSON, John W., Jr. DAY, Jane DAY, Mahlon M. De SAPIO, Rodolfo V. de BARTOLOMEIS, Paolo de BRANGES, Louis de CATALDO, Mark de FARIA, Edson de la LLAVE, Rafael de la TORRE, Pilar de LEEUW, Karel de LYRA, Carlos B. de RHAM, Georges de WET, Jacobus S. DEBEVER, Robert DEDECKER, Paul DEGOND, Pierre DEHEUVELS, René DEIFT, Percy A. DEKKER, Jacob C.E. del PINO, Manuel DELANGE, Hubert DELIGNE, Pierre DELLACHERIE, Claude DELLAPIETRA, Stephen A. DELLAPIETRA, Vincent DELSARTE, Jean DENEF, Jan J. DENNIS, R. Keith DENY, Jacques DEODHAR, Vinay Vithal DESER, Stanley DESHOUILLERS, Jean-Marc DEURING, Max DEVINATZ, Allen deWITT, B.S. DI PERNA, Ronald J. DIACONU, Calin DIAMOND, Fred DIAMOND, Harold G. DIAS, Candido DIEDERICH, Klas DILIBERTO, Stephen P.

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