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Topic: Vladimir Drinfeld


  
  Drinfeld biography
Drinfeld completed his postgraduate studies in 1977 and he defended his "candidate" thesis in 1978 at Moscow University.
Drinfeld's main achievements are his proof of the Langlands conjecture for GL(2) over a functional field; and his work in quantum group theory.
In 1992 Drinfeld was elected a member of the Academy of Sciences of the Ukraine.
www-groups.dcs.st-and.ac.uk /~history/Biographies/Drinfeld.html   (418 words)

  
  Vladimir Drinfel'd - Wikipedia, the free encyclopedia
Vladimir Gershonovich Drinfel'd (Владимир Гершонович Дринфельд) is a mathematician born February 4, 1954 in Ukraine.
He also generalized Hopf algebras to quasi-Hopf algebras, and introduced the study of Drinfeld twists, which can be used to factorize the R-matrix corresponding to the solution of the Yang-Baxter equation associated with a quasitriangular Hopf algebra.
1990: Drinfeld • Jones • Mori • Witten
en.wikipedia.org /wiki/Vladimir_Drinfeld   (248 words)

  
 Two members of the faculty receive named professorships   (Site not responding. Last check: 2007-10-21)
Two University professors– Vladimir Drinfeld, Professor in Mathematics, and Ralph Weichselbaum, the Harold H. Hines Professor and Chairman of Radiation and Cellular Oncology–received named chairs, effective March 1.
In 1990, Drinfeld received the Fields Medal, the mathematics equivalent to the Nobel Prize.
Drinfeld received the Soviet equivalent of a Ph.D. in 1978 from Moscow University.
chronicle.uchicago.edu /010426/named-professors.shtml   (439 words)

  
 Vladimir Drinfel'd Summary
Vladimir Gershonovich Drinfel'd (Владимир Гершонович Дринфельд) is a mathematician born February 4, 1954 in Ukraine.
He also generalized Hopf algebras to quasi-Hopf algebras, and introduced the study of Drinfeld twists, which can be used to factorize the R-matrix corresponding to the solution of the Yang-Baxter equation associated with a quasitriangular Hopf algebra.
Vladimir Drinfel'd at the MacTutor History of Mathematics archive.
www.bookrags.com /Vladimir_Drinfel'd   (261 words)

  
 Encyclopaedia Britannica entry   (Site not responding. Last check: 2007-10-21)
Drinfeld attended Moscow State University and the V.A. Steklov Institute of Mathematics, Moscow (Ph.D., 1988).
Drinfeld was awarded the Fields Medal at the International Congress of Mathematicians in Kyoto, Japan, in 1990.
Drinfeld also conducted research in mathematical physics, developing a classification theorem for quantum groups (a subclass of Hopf algebras).
www.aam314.vzz.net /EB/Drinfeld.html   (180 words)

  
 Drinfeld
Vladimir Drinfeld studied at Moscow University from 1969 until 1974.
He graduated in 1974 and remained at Moscow University to undertake research under Yuri Ivanovich Manin's supervision.
He introduced the idea of an elliptic module in his proof and this notion is leading to a whole new topic within number theory.
www.educ.fc.ul.pt /icm/icm2003/icm14/Drinfeld.htm   (388 words)

  
 Background on 2002 Fields and Nevanlinna Awardees
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.
Vladimir Voevodsky made one of the most outstanding advances in algebraic geometry in the past few decades by developing new cohomology theories for algebraic varieties.
www.ams.org /ams/fields2002-background.html   (1845 words)

  
 Fields Medals 2002
Vladimir Voevodsky (Institute for Advanced Study, Princeton, USA) has also been recognized for his work on number theory and algebraic geometry.
The so-called Langlands correspondence owes its name to Canadian mathematician Robert P. Langlands who, in 1967, in a famous letter to French mathematician André Weil, put forward a set of ideas and conjectures at the crossroads of number theory and analysis and the theory of group representations.
For his demonstration, which he completed in 2000, Laurent Lafforgue built on the work of Ukrainian mathematician Vladimir Drinfeld (1990 Fields Medalist).
www.cnrs.fr /cw/en/pres/compress/FieldsLafforgue.htm   (249 words)

  
 LAFFORGUE, LAURENT - CIRS
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.The crucial contribution by Laurent Lafforgue to solve this question is the construction of compactifications of certain varieties of modules.
www.cirs-tm.org /Chercheurs/chercheurs1.php?id=297   (342 words)

  
 PlanetMath: list of Fields medalists
1990: Vladimir Drinfeld (USSR), Vaughan Frederick Randal Jones (New Zealand), Shigefumi Mori (Japan), Edward Witten (U.S.)
Cross-references: Terence Tao, Grigori Perelman, Laurent Lafforgue, William Timothy Gowers, Efim Isakovich Zelmanov, Vladimir Drinfeld, Simon Donaldson, William Thurston, Charles Fefferman, Enrico Bombieri, Alexander Grothendieck, Kunihiko Kodaira, Fields medal
This is version 4 of list of Fields medalists, born on 2006-08-25, modified 2006-09-07.
planetmath.org /encyclopedia/ListOfFieldsMedalists.html   (270 words)

  
 Yuri I. Manin - Wikipedia, the free encyclopedia
He has also written on Yang-Mills theory, quantum information, and mirror symmetry.
Manin had over 40 doctoral students, including Alexander Beilinson, Vladimir Drinfeld and Victor Kolyvagin.
He was awarded the Schock Prize in 1999 and the Cantor Medal in 2002.
en.wikipedia.org /wiki/Yuri_Manin   (268 words)

  
 Addition of Fields Medalist to faculty completes historic recruiting year for Mathematics Department
Barry Mazur, Professor in Mathematics at Harvard University, responded to the news with a jest.
Mazur said he regards Drinfeld and another of the new Chicago mathematics hires --Alexander “Sasha” Beilinson-- as Russia’s two most influential mathematicians.
Beilinson also collaborates with Drinfeld, whom he has known for more than two decades.
www-news.uchicago.edu /releases/99/990112.drinfeld.shtml   (772 words)

  
 Math department welcomes latest addition to its stellar team of recruits
Vladimir Drinfeld arrived on campus from Ukraine in December 1998.
The department hired four new faculty members last year––Alexander “Sasha” Beilinson, Nikolai Nadirashvili, Ridgway Scott and 1990 Fields Medalist Vladimir Drinfeld, who arrived on campus from Ukraine in late December 1998.
“Drinfeld’s work deeply influenced the world of mathematics of the last two decades,” said Manin, who served as Drinfeld’s and Beilinson’s Ph.D. thesis adviser at Moscow University in the 1980s and was the chairman of the Fields Prize Committee at the Berlin ICM 1998.
chronicle.uchicago.edu /990121/drinfeld.shtml   (1100 words)

  
 Laurent Lafforgue, Fields Medal 2002
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 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.
www.ihes.fr /EVENTS/lafforgue/aboutLaf.html   (490 words)

  
 Countrybookshop.co.uk - Algebraic Geometry and Number Theory
Provides invited articles by several mathematicians in algebra, algebraic geometry, and number theory dedicated to Vladimir Drinfeld on the occasion of his 50th birthday.
These surveys and original research articles reflect the range of Drinfeld's work in these areas, especially his contributions to the Langlands program and mathematical physics.
This volume of invited articles by several outstanding mathematicians in algebra, algebraic geometry, and number theory is dedicated to Vladimir Drinfeld on the occasion of his 50th birthday.
www.countrybookshop.co.uk /books/index.phtml?whatfor=0817644717   (211 words)

  
 Math Department Welcomes Team of Stellar Recruits
The department hired four new faculty members last year Sasha Beilinson, Nikolai Nadirashvili, Ridgway Scott and 1990 Fields Medalist Vladimir Drinfeld, who arrived on campus from Ukraine in late December 1998.
Fefferman called Drinfeld "one of the greatest algebraists in the world." Yuri Manin, director of the Max Planck Institute for Mathematics in Bonn, Germany, offered an equally strong assessment.
"It's very nice to come to a place that hopefully will create something wonderful when everything is moving." Beilinson also collaborates with Drinfeld, whom he has known for more than two decades.
physical-sciences.uchicago.edu /research/1999/recruits.html   (1064 words)

  
 Escola Diagonal 2005   (Site not responding. Last check: 2007-10-21)
The mathematical theory of knots and links, which studies non-intersecting and non-self-intersecting curves in space, is at least 150 years old, but has recently surged to the forefront of science, attracting not only mathematicians and physicists, but also experts in biology and chemistry, and in some branches of engineering as well.
In the decade 1985--1995, no less than four mathematicians who contributed to the theory were awarded the Fields Medal (the "Nobel Prize for mathematicians"): Vaughan Jones (New Zealand), Edward Witten (USA), Vladimir Drinfeld (Ukraine), Maxim Kontsevich (Russia).
Surprizingly, although many of the original papers involve some very sophisticated mathematics, there now exists a very elementary exposition of the main results, so that no advanced mathematical prerequisites will be needed to follow the course.
www.math.ist.utl.pt /escola/sossinsky.html   (346 words)

  
 Drinfeld biography
On 21 August 1990 Drinfeld was awarded a
A Jaffe and B Mazur, write in [Notices Amer.
37 (9) (1990), 1209-1216.',2)" onmouseover="window.status='Click to see reference';return true">2] about Drinfeld's work which led to the award of the Fields Medal:-
www-history.mcs.st-andrews.ac.uk /Biographies/Drinfeld.html   (426 words)

  
 Ginzburg, Victor - Algebraic Geometry and Number Theory Books at Real Groovy New Zealand
One of the most creative mathematicians of our times, Vladimir Drinfeld received the Fields Medal in 1990 for his groundbreaking contributions to the Langlands program and to the theory of quantum groups.
These ten original articles by prominent mathematicians, dedicated to Drinfeld on the occasion of his 50th birthday, broadly reflect the range of Drinfeld's own interests in algebra, algebraic geometry, and number theory.
If you need assistance with ordering goods, please refer to our information for first time customers.
www.realgroovy.co.nz /books/isbn/0817644717   (410 words)

  
 Amazon.fr : Chiral Algebras: Livres en anglais: Alexander Beilinson,Vladimir Drinfeld   (Site not responding. Last check: 2007-10-21)
Amazon.fr : Chiral Algebras: Livres en anglais: Alexander Beilinson,Vladimir Drinfeld
This long-awaited publication contains the results of the research of two distinguished professors from the University of Chicago, Alexander Beilinson and Fields Medalist Vladimir Drinfeld.
Years in the making, this is a one-of-a-kind book featuring previously unpublished material.
www.amazon.fr /exec/obidos/ASIN/0821835289   (320 words)

  
 CoACT Report for 2001
As reported last year, his work is having a large influence on a number of researchers throughout the world.
To provide an explicit example we point to the Peter May Seminar at the University of Chicago which is attended by Fields Medallist Vladimir Drinfeld and other top mathematicians.
Perhaps for this reason, May has been been explaining homotopy theory to the algebraic geometers Beilinson and Drinfeld, in a seminar which Drinfeld runs "in the Russian style" &emdash; meaning that he asks lots of questions and you talk until you drop dead from exhaustion.
www.maths.mq.edu.au /~street/CoACT.2001.html   (2415 words)

  
 Laurent Lafforgue, dosier de presse medaille Fields 2002
Il reçoit le 20 août, ainsi que Vladimir VOEVODSKY (Institute for Advanced Study, Princeton, USA), la médaille Fields 2002.
Le premier cas significatif pour tester la validité de cette correspondance hypothétique est le cas n =2 qui a été résolu dans les années 1970 par le mathématicien ukrainien Vladimir DRINFELD (médaille Fields 1990) dans un contexte algébrique particulier mais important.
En 2002, les deux lauréats de la médaille Fields sont Laurent LAFFORGUE et Vladimir VOEVODSKY (Institute for Advanced Study, Princeton, USA), distingué pour ses travaux en théorie des nombres et géométrie algébrique.
www.ihes.fr /EVENEMENT/lafforgue/fields.html   (962 words)

  
 Forster,
This volume of invited articles by several outstanding mathematicians in algebra, algebraic geometry, and number theory is dedicated to Vladimir Drinfeld on the occasion of his 50th birthday.
These surveys and original research articles broadly reflect the range of Drinfeld's work in these areas, especially his profound contributions to the Langlands program and mathematical physics.
Graduate students, researchers, mathematicians, math physicists, algebraists, algebraic geometers, number theorists, students and colleagues of Drinfeld who know the impact of his work throughout the mathematical community
www.yurinsha.com /390/p10.htm   (1072 words)

  
 Award-winning links twixt math and physics. (Fields Medals awarded to mathematicians Vaughan F.R. Jones, Edward Witten, ...
Get Alerts and RSS Feeds related to this term.
(Fields Medals awarded to mathematicians Vaughan F.R. Jones, Edward Witten, Shigefumi Mori, Vladimir G. Drinfeld)
Mathematicians at a major international conference this week in Kyoto, Japan, turned the spotlight on four members of their community by awarding each a Fields Medal.
www.highbeam.com /doc/1G1-9367067.html?refid=ip_hf   (174 words)

  
 Math Program --> Info and Comparisons   (Site not responding. Last check: 2007-10-21)
Vladimir Voevodsky, Laurent Lafforgue, Maxim Kontsevich, Michael Francis Atiyah -- very stubby, mentioning only that they were born, got Fields and worked in algebraic geometry
Alexander Beilinson, Dror Bar-Natan, Cumrun Vafa, Vladimir Drinfeld; Shafarevich, Kunihiko Kodaira And these are the most well-known!!
They are mathematicians whose life does not consist of
www.crashdatabase.com /computers/84/math-program.html   (494 words)

  
 The Mathematics Genealogy Project - Vladimir Drinfeld
Click here to see the students listed in chronological order.
According to our current on-line database, Vladimir Drinfeld has 3 students and 4 descendants.
If you have additional information or corrections regarding this mathematician, please use the update form.
www.genealogy.ams.org /html/id.phtml?id=20646   (109 words)

  
 Book Ring: Fields authors
Two Fields Medalists are represented in the books arriving today:
Algebraic Geometry and Number Theory: In Honor of Vladimir Drinfeld’s 50th Birthday
Drinfeld was awarded the Fields Medal in 1990 for his crucial geometric insights into the "Langlands Program," in particular his proof of the Langlands conjecture in the special case of the group GL over function fields, and for his outstanding contributions to quantum groups.
blog.lib.umn.edu /fowle013/mathematicslibrary/2006/10/fields_authors.html   (232 words)

  
 IAS: Seminars
Topic: A proof of the geometric Langlands correspondence for GL(2) (after V. Drinfeld)
Topic: A proof of the geometric Langlands correspondence for GL(2) (after V. Drinfeld) (continued)
Speaker: Vladimir Voevodsky, Northwestern U. Topic: To be announced
math.ias.edu /seminars/academic.html   (3979 words)

  
 IAS: Seminars
Topic: A proof of the geometric Langlands correspondence for GL(2) (after V. Drinfeld)
Topic: A proof of the geometric Langlands correspondence for GL(2) (after V. Drinfeld) (continued)
Speaker: Vladimir Voevodsky, Northwestern U. Topic: To be announced
www.math.ias.edu /seminars/academic.html   (3979 words)

  
 Turpion Journal Archive 1958-1996
Jean Bourgain (Institute for Advanced Study, Princeton), 1994
Vladimir Voevodsky (Institute for Advanced Study, Princeton), 2002
The Fields Medal is the highest scientific award for mathematicians (mathematics' closest analogue to the Nobel Prize).
www.turpion.org /archive   (792 words)

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