Focus Program on Noncommutative Geometry and Quantum Groups; June 3-28, 2013 at the Fields Institute in Toronto, Canada

该奖项提供资金，帮助支付将于2013年6月3日至28日在加拿大多伦多的菲尔兹研究所举行的“非对易几何和量子群聚焦计划”会议的美国与会者的费用。这次会议的主题是非对易几何及相关话题。数学中最深刻的原理之一可以追溯到笛卡尔1637年的《几何》，那就是几何和代数之间的等价性。几何对象可以用代数工具来研究，代数可以通过几何思维来研究。非对易几何是研究当相关的代数是非对易的时候的几何。非对易几何不仅仅是传统几何本身的推广，事实上，非对易几何是由量子力学的基本原理强加给我们的，这些基本原理要求物理上可观察到的量对应于希尔伯特空间上的非对易算子。这一事件将探索这种非对易在许多不同的背景下的后果。会议计划为研究生、博士后和其他年轻科学家提供了大量展示他们工作的机会。

This award provides funding to help defray the expenses of U.S. participants in the conference "Focus Program on Noncommutative Geometry and Quantum Groups" that will take place from June 3-28, 2013, at the Fields Institute in Toronto, Canada.The subject matter of this wide-ranging conference is noncommutative geometry and related topics. One of the deepest principles in mathematics, dating back to Descartes's "La Geometrie" in 1637, is the equivalence between geometry and algebra. Geometric objects can be studied by algebraic tools, and algebra can be studied by thinking about it geometrically. Noncommutative geometry is the study of geometry when the associated algebra is noncommutative. Far from being just a generalization of conventional geometry for its own sake, noncommutative geometry is in fact forced on us by the basic principles of quantum mechanics, which require physically observable quantities to correspond to noncommuting operators on a Hilbert space. This event will explore the ramifications of such noncommutativity in a number of different contexts. The conference program provides ample opportunity for graduate students, postdocs, and other young scientists to present their work.