New developments in Noncommutative Algebra and its Applications

2011年6月，将在苏格兰斯凯岛盖尔学院举办一个大型讲习班，题为“非交换代数及其应用的新发展”。与其他数学领域的互动一直是当前非交换代数的中心主题。与代数几何、辛几何和表示论的联系是本次研讨会的三个主要主题，世界级的专家将在研讨会上就这些主题发表演讲。会议的一般主题是非交换代数，涉及到对以不同顺序执行时产生不同结果的运算的研究。 物理学中一个著名的例子涉及海森堡测不准原理中的位置和动量算子。 当前物理学中与这个主题密切相关的一个重要课题是弦理论，特别是镜像对称性的研究。 非交换代数的当前趋势是高度跨学科的，并触及数学的许多其他基本领域。 像这样的大型研讨会汇集了来自美国的许多研究人员，欧洲和其他地方，并可能是至关重要的建立新的合作和更多的数学家之间的互动研究不同线程的主题。这项NSF会议补助金将允许更多的美国参与者，特别是年轻的数学家，通过支持他们的旅行来参加。

A major workshop, "New developments in non-commutative algebra and its applications", will be held in Scotland, at the Gaelic College on the isle of Skye, in June 2011. Interaction with other areas of mathematics has been a central theme of current non-commutative algebra. Connections to algebraic geometry, symplectic geometry, and representation theory are three major overall topics of focus for this workshop and the world-class experts who will speak on them at the workshop.The general topic of the conference, noncommutative algebra, involves the study of operations which give different results when performed in a different order. A famous example of this in physics involves the position and momentum operators in the Heisenberg uncertainty principle. An important subject in current physics closely connected with the topic is string theory, especially the study of mirror symmetry. Current trends in noncommutative algebra are highly interdisciplinary and touch many other fundamental areas of mathematics. A major workshop such as this brings together many researchers from the U.S., Europe, and elsewhere, and can be crucial to establishing new collaborations and more interactions between mathematicians studying different threads of the subject. This NSF conference grant will allow a larger number of U.S. participants, especially younger mathematicians, to attend by supporting their travel.