U.S.-Australia Cooperative Research: The Equivariant Brauer Group of Dynamical System

9314372 Williams该奖项为达特茅斯学院数学与计算机科学系的Dana Williams博士提供旅费支持，她将与澳大利亚纽卡斯尔大学的Iain Raeburn教授进行为期两个月的合作研究。作为这项合作活动的一部分，雷伯恩博士将在澳大利亚工业、技术和区域发展部的支助下，于1994年底或1995年初对达特茅斯学院进行回访。研究的主题是动力系统的Brauer群的定义。动力系统是涉及时间演化或对称性的物理情况的数学实现。最近的理论工作使合作者认识到，有一个重要的潜在结构，在这个结构中，与固定交换系统相关联的各种非交换系统形成一个群——等变Brauer群。使用这种新方法将允许启动一个程序，该程序将复杂的代数技术应用于动力系统。

9314372 Williams This award provides travel support for Dr. Dana Williams of the Department of Mathematics and Computer Science, Dartmouth College, to spend two months conducting collaborative research with Professor Iain Raeburn at the University of Newcastle in Australia. As a part of this cooperative activity, Dr. Raeburn will make a reciprocal visit to Dartmouth College in late 1994 or early 1995 supported by the Australian Department of Industry, Technology and Regional Development. The topic of the research is the definition of the Brauer group for dynamical systems. Dynamical systems are mathematical realizations of physical situations involving time evolution or symmetries. Recent theoretical work has led the collaborators to the realization that there is an important underlying structure in which various non-commutative systems associated to a fixed commutative system form a group - the equivariant Brauer group. Using this new approach will allow the initiation of a program which applies sophisticated algebraic techniques to dynamical systems.