Vladimir Drinfeld
Vladimir Drinfeld (Ukrainian Володимир Гершонович Дрінфельд, Volodymyr Gerschonowitsch Drinfeld; Russian Владимир Дринфельд; born February 14, 1954 in Kharkov ) is a Ukrainian mathematician who emigrated to the United States.
Life and work
Vladimir Drinfeld was born in 1954, the son of Ukrainian- Jewish professor of mathematics at the University of Kharkov Gershon I. Drinfeld ( 1908-2000 ).
At the age represented Drinfeld in 1969 at the International Mathematical Olympiad in Bucharest, the Soviet Union and there won the gold medal. Between 1969 and 1974 he studied mathematics at the Lomonosov University in Moscow. After the successful graduate degree in 1977 was followed by a PhD degree ( Russian " postgraduate "). His candidate dissertation, in which he received his doctorate in 1978, was created under the guidance of Yuri Manin.
Since he could not get a relevant job in Moscow because of his Jewish ancestry, he went to the Autonomous Republic of Bashkortostan, to work in the provincial capital Ufa in the Bashkir State University and at other college campuses in Ufa as a mathematics teacher.
In 1981 he returned to Kharkov and finally found a job at Werkin Institute for Low Temperature Physics and Engineering of the Ukrainian Academy of Sciences. He also taught at the University of Kharkiv.
In 1988 he completed his habilitation at the Steklov Institute in Moscow (Russian doctorate ).
In 1990 he was awarded the Fields Medal for his work on quantum groups and in number theory. He was appointed member of the Academy of Sciences of Ukraine in 1992.
In 1998 he emigrated to the United States and in December 1998 he was Distinguished Service Professor at the University of Chicago, where he worked among others with Alexander Beilinson.
His main research areas are mathematical physics (for example Vertexalgebren, in the book Chiral Algebras of 2004 Alexander Beilinson ), Number Theory and Algebraic Geometry. He is regarded as the great pioneer of the proof of the geometric Langlands conjecture by Laurent Lafforgue and others.
His proof of the Langlands conjecture for the special case of the group GL2 over a function field over a finite field is a pioneer in this area: it was the first result for a non- Abelian group in the global case. In connection with this evidence, he led a 1973 Drinfeld modules, called by him elliptic modules ( generalizations thereof are introduced by Drinfeld Chtoukas, named after Russian Штука by German units).
From him and Yuri Manin the ADHM construction of Yang-Mills instantons dates (regardless of Nigel Hitchin, Michael Atiyah found, the first letter of all four are available for ADHM ). In a lecture at the International Congress of Mathematicians in 1986 in Berkeley, he led quantum groups (as well as simultaneously and independently Michio Jimbo in Japan), and in 1978 he was invited speaker on the ICM in Helsinki ( Langlands conjecture for GL ( 2) over function fields ).
In 2008 he was inducted into the American Academy of Arts and Sciences.