Mathematical Sciences: Iwasawa Theory for p-adic representations

Greenberg教授将继续研究Selmer群的性质及其与某些L函数的值之间的联系，这些函数在数论和代数几何中是自然出现的。现代数学的三个看似不同的领域在这个项目中相遇：数论、代数几何和分析。数论指的是研究整个数字，静态的和离散的；代数几何始于研究直线和平面等结构的关系和运动，但近年来呈现出越来越抽象和代数的基调；分析是指与微积分有关的广泛的数学领域。现代算术代数几何借鉴了这三个领域，同时对它们做出了贡献，这是当今数学中最令人兴奋的发展之一。

Professor Greenberg will continue his investigations of the properties of Selmer groups and their connections with values of certain L-functions that occur naturally in number theory and algebraic geometry. Three seemingly separate fields of modern mathematics meet in this project: Number Theory, Algebraic Geometry, and Analysis. Number Theory means the study of the whole numbers, static and discrete; Algebraic Geometry began with the study of the relations and motions of constructs like lines and planes, but has taken on an ever more abstract and algebraic tone in recent years; Analysis refers to that broad region of mathematics that is related to Calculus. That modern arithmetical algebraic geometry is drawing from these three fields and simultaneously making contributions to them is one of the most exciting developments in mathematics today.