Annual Spring Institute on Noncommutative Geometry and Operator Algebras (NCGOA) 2015

该奖项提供资金帮助支付2015年5月1日至7日在范德比尔特大学校园举行的“非交换几何和算子代数年度春季研究所”的参与者的费用。经典几何领域研究的是坐标可交换的几何对象。非交换几何是一种数学理论，专门设计用于处理坐标不交换但在数学和物理中都自然存在的“几何”对象。这种“非交换空间”自然出现在量子物理、分析、流形的拓扑和几何以及数论中。非交换几何提供了对这些空间进行分析和计算的工具，并在流形的几何和拓扑、数学物理、结理论、统计力学和共形场论中得到了重要的应用。一年一度的春季研究所包括一个专门设计的学院，以突出非交换几何和算子代数方面最重要的最新进展，确定新的新兴方向，并帮助研究生和博士后学习这一广泛而技术上困难的学科的基础知识，并引导到研究前沿。本次会议是范德比尔特非交换几何和算子代数（NCGOA）春季会议的第十三届会议，该系列会议每年汇集了大约100名主要研究兴趣是算子代数和相关主题的数学家。2015年活动的主要焦点是算子代数和群的近似性质。会议计划包括五门小型课程和20场由该领域的世界领导人主持的讲座，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。会议网址：https://my.vanderbilt.edu/ncgoa15/

This award provides funding to help defray the expenses of participants in the "Annual Spring Institute on Noncommutative Geometry and Operator Algebras 2015" that will be held from May 1-7, 2015, on the campus of Vanderbilt University. The field of classic geometry studies geometric objects whose coordinates commute. Noncommutative geometry is a mathematical theory specifically designed to handle "geometric" objects whose coordinates do not commute but which do occur naturally in both mathematics and physics. Such "noncommutative spaces" naturally arise in quantum physics, analysis, topology and geometry of manifolds, and number theory. Noncommutative geometry provides the tools to analyze and compute with these spaces, and it has led to important applications in the geometry and topology of manifolds, mathematical physics, knot theory, statistical mechanics, and conformal field theory. The annual Spring Institute includes a school specifically designed to highlight the most significant recent advances in noncommutative geometry and operator algebras, to identify new emerging directions, and to help graduate students and postdocs learn the fundamentals of this broad and technically difficult subject and navigate to the research frontiers.This event is the thirteenth installment of the Vanderbilt Noncommutative Geometry and Operator Algebra (NCGOA) spring conferences, a series that each year brings together a diverse group of roughly one hundred mathematicians whose primary research interests are in operator algebras and related topics. The main focus of the 2015 event is on operator algebras and approximation properties of groups. The conference program, which includes five mini-courses and twenty lectures by world leaders in the field, provides ample opportunity for graduate students, postdocs, and other young scientists to present their work. Conference web site: https://my.vanderbilt.edu/ncgoa15/