Mathematical Sciences : Mathematics and Theoretical Physics

高级科学研究所请求国家科学基金会为前来这里进行数学和理论物理高级研究的众多美国人提供一些支持，他们既有个人，也有与IHES常任教授合作的人。我们的统计数据继续显示，美国游客占很大比例：是排名第二的最具代表性国家的两倍多。这里的访问基于两个基础之一：第一个结果来自我们这边的征集，第二个结果是从我们收到的申请中挑选出来的。在这两种情况下，选择都是考虑到个人的研究潜力和在下述领域的互动潜力，这些领域目前在IHES非常活跃。括号中的名字是我们的永久研究员和/或长期访客的名字。组合数学(O.Gabber，M.Gromov，M.Kontsevich)离散群(M.Gromov)代数几何与数论(O.Gabber，M.Kontsevich，C.Soule)调和分析(A.Connes)C*-代数(A.Connes)几何与拓扑(A.Connes，M.Gromov，M.Kontsevich)动力系统(H.Epstein，M.Gromov，D.Ruelle)统计力学，湍流(H.Epstein，K.Gawezki，量子场论(K·加维茨基，M·康采维奇)弦理论(K·加维茨基，M·康采维奇)广义相对论，引力(A·康尼斯，T·达穆尔)M理论中的活动很可能随着迈克尔·道格拉斯的出现而发展。国际高等教育机构要求1999-2000年拨款10万美元，2000-01年拨款10万美元，2001-02年再拨款10万美元。在我们看来，这一数额似乎非常合理，因为我们对美国数学家的支持数额要大得多。

The Institut des Hautes Etudes Scientifiques requests the National Science Foundation to provide some support for the visit here of numerous Americans who come and do advanced research in Mathematics and Theoretical Physics, both individually and in collaboration with IHES permanent professors. Our statistics continue to show a large proportion of US visitors : more than twice the number of the next best represented country. Visits here are on one of two bases : the first results from solicitation on our side, the second is a selection from applications we receive. In both cases the choice is made on considerations combining personal research potential and the potential of interaction in the fields described below and which are presently very active at the IHES. The names in brackets are those of our permanent fellows and/or long-term visitors. Combinatorics (O. Gabber, M. Gromov, M. Kontsevich) Discrete groups (M. Gromov) Algebraic geometry and number theory (O. Gabber, M. Kontsevich, C. Soule) Harmonic analysis (A. Connes) C*-algebras (A. Connes) Geometry and topology (A. Connes, M. Gromov, M. Kontsevich) Dynamical systems (H. Epstein, M. Gromov, D. Ruelle) Statistical mechanics, turbulence (H. Epstein, K. Gawedzki, D. Ruelle) Quantum field theory (K. Gawedzki, M. Kontsevich) String theory (K. Gawedzki, M. Kontsevich) General relativity, gravitation (A. Connes, T. Damour)Activities in M-theory is likely to develop with the presence of Michael Douglas. J. Froehlich will make long visits starting 2001.The IHES is requesting US$ 100,000 for 1999-2000, US$ 100,000 for 2000-01 and a further US$ 100,000 for 2001-02. This amount seems to us to be more than justified since our support for US mathematicians amounts to a far larger sum.