NSF/CBMS Regional Conference in the Mathematical Sciences - "The Web of Modularity"

该奖项将资助将于2003年夏天在伊利诺伊大学厄巴纳-香槟分校举行的题为“模块化的网络”的NSF-CBMS区域研究会议。会议的讲师将是威斯康星大学麦迪逊分校的Ken Ono教授；Ono教授将围绕模形式理论在与数论相关的数学各个领域中所扮演的不同角色进行十次演讲。会议将集中讨论可通过使用模块形式解决的一系列问题。其中包括表示论、分割论、算术几何、L函数理论、超几何级数和组合学的问题。虽然这些问题在数学研究的活跃领域中包含了非常广泛的主题，但它们的共同特点是可以使用模形式理论中的一套统一的技术来理解它们。会议的主要目标是：1)对模形式在数论和其他数学领域中所扮演的重要和多样化的角色进行有组织和有动机的描述。2)为年轻的数学家和该领域的新手(特别是研究生和博士后)提供该领域研究前沿的重要技术、定理和开放问题的可访问的帐户。3)为知名研究人员提供分享他们的专业知识并相互交流和与初级数学家互动的机会。4)加强与会议主题相关领域的研究人员之间的地区联系。5)规划科学计划，这将导致出版一本对更广泛的数学界具有持久重要性的专著。

This award will fund an NSF-CBMS Regional Research Conference entitled ``The Web of Modularity''to be held at the University of Illinois at Urbana-Champaign in the summer of 2003. The conference lecturer will be Professor Ken Ono of the University of Wisconsin at Madison; Professor Ono will give ten lectures centered around the diverse roles which the theory of modular forms plays in various areas of mathematics related to Number Theory. The conference will focus on a wide array of problems which can be addressed through the use of modular forms. These include, among others, problems from representation theory, partition theory, arithmetic geometry, the theory of L-functions, hypergeometric series, and combinatorics. Although these comprise a very broad array of topics in active areas of mathematical research, they share the feature that they can be understood using a unified set of techniques from the theory of modular forms.The main goals of the conference are:1) To present an organized and motivated description of the important and diverse role which modular forms play in Number Theory and other areas of mathematics.2) To provide young mathematicians and newcomers to the field (particularly graduate students and post-docs)with an accessible account of important techniques, theorems, and open problems at the forefront of this area of research. 3) To provide established researchers an opportunity to share their expertise and to interact with each other and with junior mathematicians.4) To strengthen regional ties among researchers working in areas connected to the themes of the meeting.5) To plan a scientific program which will lead to a published monograph of lasting importance to the wider mathematical community.