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.

数字理论通常称为数学女王。 一旦被认为是理论科学中最纯粹的，它在计算机革命中发挥了重要作用。 特别是，数字理论的高级理论结果正在推动信息传输和加密领域的许多最新发展。 近年来，我的工作与剑桥大学的约翰·科茨（John Coates）合作，导致建立了现代数字理论的新领域，非交通性的iwasawa理论。 我们的方法有希望解锁著名的桦木和斯威纳顿 - 迪尔猜想的秘密。