Topics in Local Class Field Theory and its applications

局部类场论及其应用专题

• 批准号: 1946493
• 金额: --
• 依托单位: University of Nottingham
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2017
• 资助国家: 英国
• 起止时间: 2017 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-1946493
• 关键词: Topics; Local; Class; Field; Theory

To build new connections and applications of class field theory, for local fields with finite residue field and infinite residue field, with arithmetic of abelian varieties over field.To study deep problems of class field theory of local fields with imperfect residue field such as lack of induction on degree of abelian extension.

针对有限留数域和无限留数域的局部域，利用域上的阿贝尔簇算法，建立类域论的新联系和应用。研究不完全留数域的局部域的类域论中缺乏阿贝尔扩张度归纳等深层次问题。