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

摘要本文是为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。资金将全额支持研究生和博士后，部分支持演讲者和其他参与者。预计将有80-90人参加，其中包括30-40名研究生和10-15名博士后。ECOAS 2005将是关于算子代数、非交换几何及其应用的系列会议的第三次会议。在过去的30年里，算子代数已经发展成为数学中最令人兴奋的领域之一。在这个主题中，非常活跃的研究领域包括Connes的非交换几何、Voiculescu的自由概率、Arveson和Powers的量子动力学、Jones和Popa的子因子理论等。算子代数技术也导致了数学和物理先验无关领域的发现，例如，通过子因子理论的技术发现了琼斯结不变量，以及Connes和Kreimer在重整化理论方面的工作。诺维科夫猜想的主要进展是通过算子代数家开发的非交换几何方法。

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.