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，以帮助支付美国与会者的费用，会议“重点计划非交换几何和量子群”，将于2013年6月3日至28日，在菲尔兹研究所在多伦多，加拿大。这个广泛的会议的主题是非交换几何和相关主题。数学中最深刻的原则之一，可以追溯到笛卡尔1637年的《几何学》，就是几何和代数之间的等价性。几何对象可以通过代数工具来研究，而代数可以通过几何思维来研究。非交换几何是研究当相关的代数是非交换的时的几何。非对易几何并非仅仅是传统几何的一种推广，它实际上是量子力学的基本原理强加给我们的，量子力学要求物理上可观测的量对应于希尔伯特空间上的非对易算子。这一事件将探讨在许多不同的情况下，这种非对易性的后果。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.