Ninth East Coast Operator Algebras Symposium

该奖项用于支付2011年10月15日至16日在普渡大学校园举行的第九届东海岸运营者代数研讨会(ECOAS)的与会者的费用。会议的重点是算子代数和非交换几何，应用于从数论到量子物理的广泛领域。除了促进该领域研究人员之间的互动，东海岸运营商代数研讨会是美国东部地区的年轻研究人员、研究生和博士后研究员可以在其中熟悉当前研究前沿问题、展示他们自己的工作并与该领域的资深数学家互动的论坛。预计这次会议将有60-80人参加，其中包括40-50名研究生和博士后研究员。算子代数理论的起源可以追溯到默里和冯·诺依曼在1930年的S关于算子环的论文，以及盖尔芬德和纽马克在1940年的S关于希尔伯特空间上算子的范数闭的自伴代数的工作。从一开始，数学和物理的其他领域的应用就影响甚至决定了这门学科的发展。此外，尽管算符代数理论在过去30年左右的时间里得到了相当大的发展，但该学科内不同领域之间经常出现意想不到的联系。根据过去成功召开的经社理事会会议的传统，人们完全期望这次会议将是一次具有重大研究和培训影响的活动。从科学上讲，算子代数和非对易几何的理论有发展的潜力，包括算子代数在其他学科中的应用。

This award provides support to defray expenses of participants in the Ninth East Coast Operator Algebras Symposium (ECOAS) on the campus of the Purdue University, October 15-16, 2011. The focus of the meeting is on operator algebras and noncommutative geometry, with applications to a wide range of areas from number theory to quantum physics. In addition to facilitating interaction between researchers in the field, the East Coast Operator Algebra Symposia are forums in which young researchers, graduate students and postdoctoral fellows in the eastern region of the United States can acquaint themselves with current issues at the forefront of research, present their own work, and interact with senior mathematicians in the field. It is expected that the conference will host 60-80 participants, including 40-50 graduate students and postdoctoral fellows.Operator algebra theory traces its beginnings to the papers of Murray and von Neumann in the 1930's on rings of operators, and the work Gelfand and Neumark in the 1940's on norm-closed, self-adjoint algebras of operators on Hilbert space. From the start, applications to other fields of mathematics and physics have influenced and even dictated the subject's development. Moreover, even though operator algebra theory has broadened considerably over the past thirty years or so, unexpected connections between different areas within the subject regularly arise. Based on the tradition of past successful ECOAS meetings, there is every expectation that this conference will be an event with significant research and training impact. Scientifically, there is potential for advances in the theory of operator algebras and noncommutative geometry including applications of operator algebras to other disciplines.