Current Developments in Mathematics Conference

哈佛大学和麻省理工学院将在哈佛大学举办为期一天半的国际会议。目的是邀请优秀的演讲者来讲解数学科学不同领域的前沿，促进不同领域数学家之间的跨学科活动。这是一年一度的活动。今年，以下将是演讲者：Ken Ribet，他将讨论Chandrashekhar Khare和Jean-Pierre Wintenberger的作品，在许多情况下证明Serre猜想（1987）。Serre推测奇数不可约的二维模p-伽罗瓦表示应该由模形式产生。Yakov Sinai将讨论流体动力学中的数学问题，他将描述Navier-Stokes方程的幂级数解的构造。Ed Witten将讨论朗兰兹程序在量子场论中出现的最新重要进展，以及数学思想如何从这种解释中产生。Terry Tao将会讲述他在谐波分析和非线性双曲方程方面的工作。Simon Donaldson和Paul Seidel将讨论辛几何的最新进展。会议的一个重要组成部分是帮助来自全国各地和世界其他地区的年轻博士后和研究生与参加会议的领域领导者一起学习，交流和工作。他们的旅费将视基金的可用程度而定。特别鼓励少数民族来。由于主题涵盖范围广泛，从数论、几何、拓扑、代数、数学物理到一般的计算和应用数学，我们期望在会议期间进行大量的思想交流。为了帮助听众理解讲座内容，将印制一本相当详细的入门读物。最后，由主讲人撰写的一本书将会出版。

The departments of Harvard and MIT will sponsor an international conference at Harvard for one and a half days. The purpose is to bring excellent speakers to explain the forefront of different fields in mathematical science, which will promote interdisciplinary activities among mathematicians of different fields. This has been an annual event. This year, the following will be speakers: Ken Ribet, who will talk on the works of Chandrashekhar Khare and Jean-Pierre Wintenberger, on the proof of Serre conjecture (1987) in many cases. Serre conjectured that odd irreducible two-dimensional mod p-Galois representations should arise from modular forms. Yakov Sinai will talk on mathematical problems in fluid dynamics, where he will describe the construction of power series solution to the Navier-Stokes equation. Ed Witten will talk on the recent important development of how the Langlands program appears in quantum field theory and how mathematical ideas can come from such interpretations. Terry Tao will talk on his work on harmonic analysis and nonlinear hyperbolic equations. Simon Donaldson or Paul Seidel will talk on recent advances in symplectic geometry.An important component of the conference is to help young post-doctoral fellows and graduate students to come from all over the country and other parts of the world to learn, to communicate and to work with the leaders of the field that attend this conference. Their travel will be covered depending on the extent of the availability of the fund. Minorities are especially encouraged to come. Since the topics cover a wide range from number theory, geometry, topology, algebra, mathematical physics to computing and applied mathematics in general, we expect a great deal of interchange of ideas during the conference. A rather detailed preliminary book will be printed to help the audience understand the lectures. At the end, a book written by the speakers will be published.