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

该奖项为参加“非对易几何和量子群重点项目”会议的美国参与者提供资金，该会议将于2013年6月3日至28日在加拿大多伦多菲尔兹研究所举行。这次广泛会议的主题是非交换几何及其相关主题。数学中最深奥的原理之一是几何与代数之间的等价，这可以追溯到1637年笛卡尔的《几何》。几何对象可以通过代数工具来研究，代数可以通过几何思考来研究。非交换几何是研究相关代数非交换时的几何。非交换几何不仅仅是传统几何本身的推广，事实上，非交换几何是由量子力学的基本原理强加给我们的，量子力学要求物理上的可观测量与希尔伯特空间上的非交换算子相对应。本活动将探讨这种非交换性在许多不同上下文中的后果。会议计划为研究生、博士后和其他年轻科学家提供了充分的机会来展示他们的工作。

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.