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

年度春季非交换几何和算子代数研究所 (NCGOA) 2015

• 批准号: 1500926
• 负责人: Dietmar Bisch
• 金额: $ 3.82万
• 依托单位: Vanderbilt University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2015
• 资助国家: 美国
• 起止时间: 2015-04-01 至 2016-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1500926&HistoricalAwards=false
• 关键词: Annual; Spring; Institute; Noncommutative; Geometry

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/

该奖项提供资金，以帮助支付参加“2015年春季非交换几何和算子代数研究所”的费用，该研究所将于2015年5月1日至7日在范德比尔特大学校园举行。经典几何学研究坐标可交换的几何对象。 非对易几何（英语：Noncommutative geometry）是一种数学理论，专门设计来处理“几何”对象，其坐标不对易，但在数学和物理中自然发生。这种“非对易空间”自然出现在量子物理、分析、拓扑学和流形几何以及数论中。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校，以突出最重要的非交换几何和算子代数的最新进展，以确定新的新兴方向，并帮助研究生和博士后学习这一广泛和技术上困难的学科的基础知识，并导航到研究前沿。本次活动是范德比尔特非交换几何和算子代数（NCGOA）的第十三期春季会议，一系列，每年汇集了大约一百名数学家的主要研究兴趣是在算子代数和相关主题的不同群体。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，其中包括五个迷你课程和20个讲座，由世界领导人在该领域，为研究生，博士后和其他年轻的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/