Vladimir Drinfel'd
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Vladimir Gershonovich Drinfel'd (Владимир Гершонович Дринфельд) is a mathematician born February 4, 1954 in Ukraine.
He won a gold medal in the International Mathematics Olympiad in 1969, representing the Soviet Union, at the age of 15, and entered university after this.
In 1986, he gave a seminal address to the International Congress of Mathematicians at Berkeley, where he coined the term "Quantum group" in reference to Hopf algebras which are deformations of simple Lie algebras, and connected them to the study of the Yang-Baxter equation, which is a necessary condition for the solvability of statistical mechanical models. 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.
He was awarded a Fields Medal in 1990, and is currently the Harry Pratt Judson Distinguished Service Professor at the University of Chicago.
He is known for work in number theory and other fields; in particular for his proof of a substantive part of the Langlands program for GL2 of a function field of an algebraic curve over a finite field, this being the first major non-abelian case over a global field that was known.
[edit] See also
[edit] External links
- Vladimir Drinfel'd at the Mathematics Genealogy Project
- O'Connor, John J., and Edmund F. Robertson. "Vladimir Drinfel'd". MacTutor History of Mathematics archive.
- Report by Manin
| Fields Medalists |
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1936: Ahlfors • Douglas || 1950: Schwartz • Selberg || 1954: Kodaira • Serre || 1958: Roth • Thom || 1962: Hörmander • Milnor || 1966: Atiyah • Cohen • Grothendieck • Smale || 1970: Baker • Hironaka • Novikov • Thompson || 1974: Bombieri • Mumford || 1978: Deligne • Fefferman • Margulis • Quillen || 1982: Connes • Thurston • Yau || 1986: Donaldson • Faltings • Freedman || 1990: Drinfeld • Jones • Mori • Witten || 1994: Zelmanov • Lions • Bourgain • Yoccoz || 1998: Borcherds • Gowers • Kontsevich • McMullen || 2002: Lafforgue • Voevodsky || 2006: Okounkov • Perelman • Tao • Werner |
