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

该奖项提供资金，帮助支付将于2015年5月1日至7日在范德比尔特大学校园举行的“2015年度春季非对易几何与算子代数研究所”的参赛者的费用。经典几何领域研究坐标互换的几何对象。非对易几何是一门专门为处理其坐标不交换但在数学和物理中自然发生的“几何”对象而设计的数学理论。这种“非对易空间”自然而然地出现在量子物理学、流形分析、拓扑学和几何学以及数论中。非对易几何提供了分析和计算这些空间的工具，它在流形的几何和拓扑、数学物理、纽结理论、统计力学和共形场论中有着重要的应用。一年一度的春季学院包括一个专门设计的学校，旨在突出非对易几何和算子代数最新的重大进展，确定新的新兴方向，并帮助研究生和博士后学习这一广泛且技术困难的学科的基础知识，并导航到研究前沿。该活动是范德比尔特非对易几何和算子代数(NCGOA)春季会议的第13期，该系列每年聚集约100名数学家，他们的主要研究兴趣是算子代数及其相关主题。2015年活动的主要焦点是算子代数和群的逼近性质。会议计划包括5个迷你课程和20个该领域世界领导人的讲座，为研究生、博士后和其他年轻科学家提供了充分的机会介绍他们的工作。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/