Vladimir Gershonovich Drinfeld (born February 14, 1954 , Kharkov , USSR ) is a Soviet, Ukrainian and American mathematician. Professor Emeritus of the University of Chicago , member of the NAS of the USA (2016), corresponding member of the NAS of Ukraine (1992), foreign member of the French Academy of Sciences [1] . Winner of the Fields Prize (1990) and the Wolf Prize in Mathematics (2018, with A.A. Beilinson ).
| Vladimir Gershonovich Drinfeld | |
|---|---|
| Date of Birth | February 14, 1954 (aged 65) |
| Place of Birth | Kharkov , USSR |
| A country |  USSR →  Ukraine →  USA |
| Scientific field | maths |
| Place of work | University of Chicago |
| Alma mater | MSU (mehmat) |
| supervisor | Yu. I. Manin |
| Awards and prizes | Fields Prize ( 1990 ) |
Content
Biography
Vladimir Gershonovich Drinfeld was born in Kharkov in the family of a mathematician, professor of Kharkov University Gershon Ihelevich Drinfeld (1908–2000) and classic philologist Frida Iosifovna Lutska-Litvak (1921–2011). At 15, he became the absolute winner of the International Mathematical Olympiad (1969) [2] . He graduated from the Faculty of Mechanics and Mathematics of Moscow State University , in 1978 he defended his thesis [3] under the guidance of Yu. I. Manin . As noted in his biography [4] , at the end of Moscow State University he could not find work in Moscow because of his Jewish origin, as well as because of problems with registration, and was forced to leave for Ufa , where he taught mathematics at Bashkir State University . In 1981, he returned to Kharkov and got a job at the B.I. Verkina NAS of Ukraine (Department of Mathematical Physics), where he worked until 1999. Years later, V. G. Drinfeld noted: “I had neither the desire nor the opportunity to leave the country before perestroika.” He could get a job in the West back in 1990, but then refused [5] . In 1988 he defended his doctoral dissertation at the Mathematical Institute. V. A. Steklova [6] . In 1990 he was awarded the Fields Prize . In 1998 he emigrated to the United States , since December of that year, a professor at the University of Chicago . Member of the American Academy of Arts and Sciences (2008).
The main works in the field of algebraic geometry , number theory , where he proved the Langlands hypothesis for GL (2) over a functional field, and mathematical physics (the creator of the theory of quantum groups - a new class of Hopf algebras ).
Co-author of the Drinfeld – Sokolov theory [7] , introduced the concept of the Drinfeld associator .
Bibliography
- Drinfeld V.G., Sokolov V.V. Lie algebras and equations of Korteweg - de Vries type // Itogi Nauki i Tekhniki. Modern problems of mathematics. T. 24. - M .: VINITI, 1984.
- AA Belavin, VG Drinfeld. Triangle equations and simple Lie algebras. - Chur: New York: Harwood Academic Publ., 1984
- V. G. Drinfeld. Hopf Algebras and the Young – Baxter Quantum Equation // DAN SSSR. - 1985. - V. 283. - No. 5.
- V. Ginzburg, Vladimir Drinfeld: Preface, Transformation Groups 10 (3-4), (2005), 277-278.
- S. Koppes, Math department welcomes latest addition to its stellar team of recruits, University of Chicago Chronicle 18 (8) (21 January, 1999).
- VG Drinfeld. On a conjecture of Kashiwara. - MATHEMATICAL RESEARCH LETTERS, 8, Part 5/6 (2001): 713-728
- VG Drinfeld. DG quotients of DG categories. - JOURNAL OF ALGEBRA, 272, no. 2, (2004): 643–691
- A. Beilinson, VG Drinfeld. Chiral algebras. - Providence, RI: American Mathematical Society, 2004
- VG Drinfeld. Infinite-Dimensional Vector Bundles in Algebraic Geometry: An Introduction. - PROGRESS IN MATHEMATICS.- BOSTON, 244, (2006): 263-304
- V. Ginzburg, VG Drinfeld. Algebraic geometry and number theory. (in honor of Vladimir Drinfeld's 50th birthday) Boston, Basel, Berlin, 2006. ISBN 978-0-81-764471-0
Notes
- ↑ Vladimir Drinfeld
- ↑ Drinfeld Results at the International Mathematical Olympiad
- ↑ Drinfeld V.G. Elliptic modules and their applications to the Langlands and Peterson conjectures for GL (2) over a functional field. Abstract of dissertation for the degree of candidate of physical and mathematical sciences: 01.01.03. Moscow State University. Faculty of Mechanics and Mathematics. - M.: Publishing house of Moscow University, 1977. - 10 p.
- ↑ John J. O'Connor and Edmund F. Robertson . Drinfeld, Vladimir Gershonovich (English) - biography in the MacTutor archive.
- ↑ Wolf Prize winners talked about their life in the USSR - Gazeta.Ru
- ↑ Drinfeld V.G. Global non-commutative theory of class fields for GL (2) over a functional field. Abstract of dissertation for the degree of Doctor of Physics and Mathematics: 01.01.06. USSR Academy of Sciences. Mathematical Institute. V.A. Steklova. - M., 1988 .-- 22 p.
- ↑ V. G. Drinfeld and V. V. Sokolov // Dokl. USSR Academy of Sciences, 258: 1 (1981), 11–16