Conference Support: Third East Coast Operator Algebra Symposium; October 1-2, 2005; Philadelphia, PA

会议支持：第三届东海岸算子代数研讨会；

• 批准号: 0523947
• 负责人: Robert Powers
• 金额: --
• 依托单位: University of Pennsylvania
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-09-01 至 2007-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0523947&HistoricalAwards=false
• 关键词: Conference; Support; Third; East; Coast

AbstractPowersThis is a proposal for partial participant support for the ThirdEast Coast Operator Algebras Symposium (ECOAS) to be held at theUniversity of Pennsylvania in Philadelphia on October 1 and 2, 2005. Funding is for full support for graduate students and postdocs and partial support for speakers and other participants. It is expected to have about 80-90 participants, including 30-40 graduate students and 10-15 postdocs. ECOAS 2005 will be the third meeting of a conference series on operator algebras, noncommutative geometry and applications. Operator algebras have evolved in the last 30 years to one of the most exciting areas of mathematics. Within the subject, areas of very active research include Connes' non-commutative geometry, Voiculescu's free probability, quantum dynamics following the work of Arveson and Powers, the theory of subfactors following the work of Jones and Popa, and others. Operator algebras techniques have also led to discoveries in a priori unrelated fields of mathematics and physics, including for instance the discovery of Jones' knot invariant via techniques from the theory of subfactors, and the work of Connes and Kreimer on renormalization theory. Major progress on the Novikov conjecture has been made through noncommutative geometrical methods developed by operator algebraists.

AbstractPowers这是为 2005 年 10 月 1 日至 2 日在费城宾夕法尼亚大学举行的第三届东海岸算子代数研讨会 (ECOAS) 提供部分参与者支持的提案。资金用于为研究生和博士后提供全部支持，为演讲者提供部分支持以及其他参与者。预计约有80-90名参与者，其中包括30-40名研究生和10-15名博士后。 ECOAS 2005 将是算子代数、非交换几何和应用系列会议的第三次会议。算子代数在过去 30 年中已经发展成为数学中最令人兴奋的领域之一。在该学科中，非常活跃的研究领域包括 Connes 的非交换几何、Voiculescu 的自由概率、遵循 Arveson 和 Powers 工作的量子动力学、遵循 Jones 和 Popa 工作的子因子理论等。算子代数技术还导致了数学和物理学的先验不相关领域的发现，包括例如通过子因子理论的技术发现琼斯结不变量，以及 Connes 和 Kreimer 关于重正化理论的工作。诺维科夫猜想的重大进展是通过算子代数学家开发的非交换几何方法取得的。