Japan JSPS Program: Shioda's Theory of Mordell-Weil Lattices

日本JSPS项目：Shioda的Mordell-Weil格子理论

• 批准号: 9504537
• 负责人: Eric Liverance
• 金额: $ 0.3万
• 依托单位: Individual Award
• 依托单位国家: 美国
• 项目类别: Fixed Amount Award
• 财政年份: 1996
• 资助国家: 美国
• 起止时间: 1996-01-01 至 1997-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9504537&HistoricalAwards=false
• 关键词: Japan; JSPS; Program; Shioda; Theory

9504537 Liverance This award supports a 12-month Japan Society for the Promotion of Science Postdoctoral Fellowship for Dr. Eric Liverance of the Mathematics Department at the University of Southern California. This fellowship opportunity will enable Dr. Liverance to begin a collaborative research effort with Dr. Tetsuji Shioda of the Mathematics Department at Rikkyo University. The investigators propose to study possible applications of Dr. Shioda's work on Mordell-Weil lattices of elliptic surfaces. The main research question is he size of the Galois representation associated to the Mordell-Weil lattice, and possible applications to elliptic curves. As a postdoctoral fellow, Dr. Liverance will have the opportunity to become familiar with research techniques and methodology invented essentially single-handedly by Dr. Shioda for the elliptic surfaces. Therefore, this proposal fulfills the objectives of the Program in its exchange and transfer of scientific knowledge through an international collaboration. ***

小行星9504537 该奖项支持南加州大学数学系的Eric Liverance博士获得为期12个月的日本科学促进协会博士后奖学金。 这个奖学金的机会将使博士利弗伦斯开始与博士的合作研究工作Tetsuji盐田在立教大学数学系。 研究人员建议研究Shioda博士在椭圆表面的Mordell-Weil晶格上的工作的可能应用。主要的研究问题是与Mordell-Weil格相关联的伽罗瓦表示的大小，以及在椭圆曲线上的可能应用。 作为博士后研究员，Liverance博士将有机会熟悉Shioda博士为椭圆表面发明的研究技术和方法。因此，该提案实现了该计划通过国际合作交流和转让科学知识的目标。 ***