Clay数学研究所所长将出席2006年国际数学家大会

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Clay数学研究所所长将出席2006年国际数学家大会
（转自2006年国际数学家大会官方网站）

Refereed publication of detailed treatments of Perelman work on the Poincaré Conjecture is imminent, thus setting the stage for eventual award of one of the Millennium Prizes

The Clay Institute will be present at ICM2006

Representatives of the Clay Mathematics Institute (CMI) including its president, James Carlson, will attend the ICM2006, to be held next August (22-30) in Madrid. The Institute was founded in 1999 by Boston businessman Landon T. Clay.  In the year 2000 CMI announced the creation of a series of special prizes: one million dollars for each one of a list of seven “Millennium Prize Problems”, considered at the turn of the millennium among the most important and difficult to solve.

Based in Cambridge (Massachusetts, USA), the Clay Mathematics Institute (CMI) has provided support for research, education and the dissemination of mathematics ever since its creation. The Institute organizes courses, workshops, seminars and summer schools, and provides fellowships for senior mathematicians as well as for pre- and post-doctoral mathematicians. It also organizes public lectures to help widen the understanding of mathematics and its role in society, publishes books and monographs, has helped produce videos.  Each year CMI presents two mathematicians with the Clay Research Award for outstanding recent work.

The Millennium Prize Problems have drawn special attention because of the claimed solution of one them – the Poincaré conjecture – by the Russian mathematician, Grisha Perelman. Perelman’s work, announced through internet postings to arXiv.org in 2002 and 2003, set off a flurry of activity by experts in the field.  So far no one has found a serious error in Perelman’s work, and refereed publication of detailed treatments of his work is imminent, thus setting the stage for eventual award of one of the Millennium Prizes.  The prize requires a two-year waiting period after refereed publication.

The list of Clay Mathematics Institute was drawn up by the Scientific Advisory Board of CMI in consultation with leading mathematicians world-wide. At the time the board consisted of Alain Connes, Fields Medal winner in 1982, Arthur Jaffe, professor of mathematics and physics at Harvard and first president of CMI, Andrew Wiles, the mathematician who ten years earlier achieved world fame for his proof of Fermat’s last theorem, and Edward Witten, Fields Medal winner in 1990. Wiles continues as a member of the Scientific Advisory Board. The remaining members are James Carlson, Simon Donaldson, Gregory Margulis, Richard Melrose and Yum-Tong Siu.

The problems for which these prizes are being offered are as follows:
1.        P vs NP
2.        The Hodge Conjecture
3.        Poincaré’s Conjecture
4.        The Riemann Hypothesis
5.        Existence and mass gap for solutions to the Yang Mills
6.        Existence and uniqueness of solutions to the Navier-Stokes Equations
7.        The Birch and Swinnerton-Dyer Conjecture

Although one of these problems appears to be solved, six remain for someone to sink their teeth into. Who will take up the challenge?
（转自2006年国际数学家大会官方网站）