Motives and cycles of geometrically rational varieties

几何有理簇的动机和周期

• 批准号: 418116-2012
• 负责人: Gille, Stefan
• 金额: $ 1.82万
• 依托单位: University of Alberta
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2013
• 资助国家: 加拿大
• 起止时间: 2013-01-01 至 2014-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=531004
• 关键词: Motives; cycles; geometrically; rational; varieties

The theory of (Chow-)motives has been introduced by one of the most famous mathematicians of the last century, Alexander Grothendieck (winner of the Fields medal -- the analog of the Nobel price for mathematics -- in 1966). This is an universal theory which explains almost all existing algebraic objects, as for instance quadratic forms, elliptic curves, or algebraic surfaces. Most of these (algebraic) objects play an essential role in algebraic coding theory or cryptography.

上个世纪最著名的数学家之一亚历山大·格罗滕迪克（1966年菲尔兹奖--类似于诺贝尔数学奖--的赢家）提出了（周-）动机理论。这是一个普遍的理论，解释了几乎所有现有的代数对象，例如二次形式，椭圆曲线，或代数曲面。这些（代数）对象中的大多数在代数编码理论或密码学中起着重要作用。