Travel support for a CRM Research Program in Arithmetic Geometry of function fields of positive characteristic

正特征函数域算术几何 CRM 研究项目的差旅支持

• 批准号: 0968709
• 负责人: Douglas Ulmer
• 金额: $ 1.96万
• 依托单位: Georgia Tech Research Corporation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2010
• 资助国家: 美国
• 起止时间: 2010-01-01 至 2011-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0968709&HistoricalAwards=false
• 关键词: Travel; support; CRM; Research; Program

This project will support US-based researchers attending an international program on the arithmetic geometry of function fields of positive characteristic at the "Centre de Recerca Matematica" (CRM) in Barcelona, Spain, during the spring of 2010. The program will include graduate courses, two international workshops, and an advanced course on recent developments. It is expected that researchers from around the world will attend and that notes from some of the courses and workshops will be published.Arithmetic geometry is the study of questions originating in number theory using the methods and tools of algebraic geometry. The field has seen recent spectacular advances (such as the proof of Fermat's Last Theorem) and applications to contemporary technologies such as reliable communications and information security. A great deal of insight has been gained from the analogies and interactions between arithmetical structures (such as the rational numbers) and more geometric structures (such as polynomial functions on the line). This workshop will continue the exploration of these analogies and interactions.

该项目将支持美国研究人员参加 2010 年春季在西班牙巴塞罗那“Centre de Recerca Matematica”(CRM) 举办的关于正特征函数域算术几何的国际项目。该项目将包括研究生课程、两个国际研讨会和一个有关最新发展的高级课程。预计来自世界各地的研究人员将参加，并且一些课程和研讨会的笔记将被出版。算术几何是使用代数几何的方法和工具来研究源于数论的问题。 该领域最近取得了惊人的进展（例如费马大定理的证明）以及在可靠通信和信息安全等当代技术中的应用。 从算术结构（例如有理数）和更多几何结构（例如直线上的多项式函数）之间的类比和相互作用中获得了大量的见解。 本次研讨会将继续探索这些类比和相互作用。