Vincitori del 1990
Queste sono le schede dei giovani matematici premiati con il prestigioso premio nell'anno 1990.
 |
Nome:
|
Vaughan JONES
|
|
Nato il:
|
31 Dicembre 1952
|
|
|
A:
|
Gisborne (Nuova Zelanda)
|
|
|
Universitá:
|
University of California, Berkeley
|
|
|
In
1984 Jones discovered an astonishing relationship between von Neumann
algebras and geometric topology. As a result, he found a new polynomial
invariant for knots and links in 3-space. His invariant had been missed
completely by topologists, in spite of intense activity in closely
related areas during the preceding 60 years, and it was a complete
surprise. As time went on, it became clear that his discovery had to do
in a bewildering variety of ways with widely separated areas of
mathematics and physics .... These included (in addition to knots and
links) that part of statistical mechanics having to do with exactly
solvable models, the very new area of quantum groups, and also Dynkin
diagrams and the representation theory of simple Lie algebras. The
central connecting link in all this mathematics was a tower of nested
algebras which Jones had discovered some years earlier in the course of
proving a theorem which is known as the "Index Theorem".
|
||
 |
Nome:
|
Vladimir DRINFELD
|
|
Nato il:
|
1 Novembre 1954
|
|
|
A:
|
Kharnov (URSS)
|
|
|
Universitá:
|
Physical Institute of Kharnov
|
|
| 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. Although he only proved a special case of the Langlands conjecture, Drinfeld has introduced important new ideas in his solution and made a real breakthrough. He introduced the idea of an elliptic module in his proof and this notion is leading to a whole new topic within number theory. The interactions between mathematics and mathematical physics studied by Atiyah led to the introduction of instantons - solutions, that is, of a certain nonlinear system of partial differential equations, the self-dual Yang-Mills equations, which were originally introduced by physicists in the context of quantum field theory. Drinfeld and Manin worked on the construction of instantons using ideas from algebraic geometry. | ||
 |
Nome:
|
Shige-fumi MORI
|
|
Nato il:
|
23 Febbraio
|
|
|
A:
|
Nagoya (Giappone)
|
|
|
Universitá:
|
University of Kyoto
|
|
|
He
received this Medal for some remarkable work over a 12 year period. He
worked on algebraic manifolds with ample tangent bundles and was the
first to prove the Hartshorne conjecture in 1978. This conjecture,
posed in 1970, claimed that projective spaces are the only smooth
complete algebraic varieties with ample tangent bundles.
|
||
 |
Nome:
|
Edward WITTEN
|
|
Nato il:
|
26 Agosto 1951
|
|
|
A:
|
Baltimora, Maryland (USA)
|
|
|
Universitá:
|
Institute of Advanced Studies, Princeton
|
|
| In his study of these areas of theoretical physics, Witten has achieved a level of mathematics which has led him to be awarded the highest honour that a mathematician can receive, namely a Fields Medal. He received the medal at the International Congress of Mathematicians which was held in Kyoto, Japan in 1990. The Proceedings of the Congress contains two articles describing Witten's mathematical work which led to the award. The main tribute is the article by Atiyah, but Atiyah could not be in Kyoto to deliver the address so the address at the Congress was delivered by Faddeev who quotes freely from Atiyah. | ||
Elenco vincitori