Mathematical Sciences: L-adic Studies of Stacks & Moduli

该奖项通过资助博士后研究员Kai Behrend博士来支持Robert MacPherson教授的工作。Behrend博士将继续他成功的l-adic堆叠理论。他感兴趣的是开发微量配方，并为那些已经建立的配方寻找进一步的应用。这是代数几何领域的研究，是现代数学中最丰富的部分之一。代数几何在过去的四分之一世纪里有了革命性的发展。最初，这种几何类型处理的图形可以用最简单的方程，即多项式，在平面上定义。目前该领域研究最复杂的数学对象，不仅使用代数的方法，还使用分析和拓扑的方法。也许是因为这种极端的普遍性，它在物理学、理论计算机科学和机器人技术等许多领域都得到了应用。＊＊＊

MacPherson This award supports the work of Prof. Robert MacPherson by funding a post-doctoral researcher, Dr. Kai Behrend. Dr. Behrend will continue his successful development of an l-adic theory of stacks. He is interested in developing trace formula and finding further applications for those that have already been established. This is research in the field of algebraic geometry, one of the richest parts of modern mathematics. Algebraic geometry has had a revolutionary flowering in the past quarter century. Originally this type of geometry dealt with figures that could be defined in the plane by the simplest equations, namely polynomials. Nowadays the field studies the most complicated kinds of mathematical object and makes use of methods not only from algebra, but from analysis and topology. Perhaps because of this extreme generality, it is finding application in many fields as diverse as in physics, theoretical computer science, and robotics. ***