Arithmetic geometry and algebraic number theory

算术几何与代数数论

• 批准号: 1000216443-2009
• 负责人: Ramdorai, Sujatha
• 金额: $ 7.29万
• 依托单位: University of British Columbia
• 依托单位国家: 加拿大
• 项目类别: Canada Research Chairs
• 财政年份: 2017
• 资助国家: 加拿大
• 起止时间: 2017-01-01 至 2018-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=642748
• 关键词: Arithmetic; geometry; algebraic; number; theory

Number theory is often called the queen of mathematics. Once thought of as the purest of the theoretical sciences, it has played an important role in the computer revolution. In particular, advanced theoretical results from number theory are driving many of the recent developments in the areas of information transmission and cryptography. My work in recent years, much of it in collaboration with John Coates of Cambridge University, has led to the creation of a new area of modern number theory non-commutative Iwasawa theory. Our approach holds the promise of unlocking deeply held secrets such as the famous Birch and Swinerton-Dyer conjecture.

数论常被称为数学皇后。 它曾经被认为是最纯粹的理论科学，在计算机革命中发挥了重要作用。 特别是，数论的先进理论成果正在推动信息传输和密码学领域的许多最新发展。 近年来，我与剑桥大学的约翰科茨合作，开创了现代数论的一个新领域--非对易岩泽理论。 我们的方法有望解开诸如著名的Birch和Swinerton-Dyer猜想等深藏的秘密。