Warwick Symposium: Number Theory

这是一项关于在2012-2013学年在沃里克大学数学研究中心（MRC）举行一次专题讨论会的建议。研讨会的总主题是数论，这是一个有数千年历史的数学分支，也是一个在国际和英国都蓬勃发展的分支。世纪末，安德鲁·怀尔斯爵士证明了费马大定理，这是一个350多年来的著名问题，从而极大地推动了数论的发展。密码学在很大程度上使用了数论，因此数论在商业、银行、信息技术和国家安全等方面都有重要的应用。总的主题反映了一些最重要的最新发展和目前最活跃的领域在数论国际上的组合。实际上，研讨会将围绕以下活动进行结构化：1.在与专题讨论会总主题有关的具有国际意义的各个研究领域举办了若干为期一周的讲习班。讲习班的各个重点领域广泛覆盖了现代数论的许多方面，并促进了相关领域研究人员之间的互动，但不一定重叠。国际知名专家的研究访问，鼓励他们与研讨会参与者和英国数论社区进行讨论和合作。为了使研讨会参与者和英国数论社区受益最大化，每个参观者都将被要求提供针对研究生，博士后和教职员工组成的广泛数论观众的迷你课程。定期的研讨会，将通过接入网格系统转播给感兴趣的英国大学。研讨会将使英国和国际研究界聚集在一起，交流知识和想法，探索新的方向，加深我们对这一重要而具有挑战性的课题的理解。

This is a proposal for a symposium to be held during the academic year 2012-2013 at the Mathematics Research Centre (MRC), University of Warwick. The overall theme of the symposium is number theory, a branch of mathematics that is thousands of years old, but also one that is thriving both internationally and in the UK. The prominence of number theory received a tremendous boost at the end of the 20th Century by the proof of Fermat's Last Theorem---a famous problem for over 350 years---by Sir Andrew Wiles. Much of cryptography makes heavy use of number theory, and thus number theory has found important applications to commerce, banking, information technology and national security.The symposium will facilitate a year-long sustained research activity across several strands of number theory. The general themes reflect a combination of some of the most important recent developments and the areas currently most active in number theory internationally.In practical terms the symposium will be structured around the following activities:1. A number of week-long workshops in various research areas of international significance pertaining to the general theme of the symposium. The various focus areas for the workshops provide a wide coverage of many aspects of modern number theory and foster interaction between researchers working in related by not necessarily overlapping areas.2. Research visits by internationally renowned experts who are encouraged to engage in discussions and collaborate with symposium participants and the UK number theory community. To maximize benefit to symposium participants and the UK number theory community, each of the visitors will be asked to give minicourse aimed at a broad number theory audience consisting of graduate students, postdocs and faculty members.3. A regular seminar that will be relayed to interested UK universities via the access grid system.The symposium will allow the UK and international research community to come together to exchange knowledge and ideas, explore new directions and deepen our understanding of this important and challenging subject.