Operator Algebras Summer School at the University of Ottawa

渥太华大学算子代数暑期学校

• 批准号: 2000352
• 负责人: Sarah Reznikoff
• 金额: $ 1.2万
• 依托单位: Kansas State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2020
• 资助国家: 美国
• 起止时间: 2020-02-15 至 2023-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2000352&HistoricalAwards=false
• 关键词: Operator; Algebras; Summer; University; Ottawa

Operator algebras is a branch of mathematics that arose in the mathematical rigorization of quantum mechanics in the 1930s, and has since blossomed into an area touching many other parts of mathematics. The Graduate Summer School in Operator Algebras in Ottawa is an event that helps to inform and advance the careers of young researchers (primarily Ph.D. students and postdoctoral researchers). It consists of three lecture series delivered by renowned researchers in diverse areas of operator algebras, as well as a career talk and opportunities for participants to deliver short talks. Through these activities and networking opportunities, the summer school is designed to be very beneficial to the research program and the careers of the participants. The topics of the lecture series are internationally relevant and timely, yet will be presented at a level that is accessible to the graduate student and postdoc participants. The topics are: (i) the classification of C*-algebras, with an emphasis on von Neumann algebra techniques, (ii) operator algebraic aspects of quantum information theory, and (iii) group amenability and its connections to operator algebras. This award supports the travel of US based Ph.D. students and post-docs to participate in this event.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

算符代数是20世纪30年代量子力学的数学严格化过程中出现的一个数学分支，自那以来已发展成为一个涉及数学许多其他部分的领域。渥太华算符代数研究生暑期学校是一项帮助年轻研究人员(主要是博士生和博士后研究人员)了解和促进其职业生涯的活动。它包括三个系列讲座，由算子代数不同领域的著名研究人员发表，以及职业演讲和参与者发表简短演讲的机会。通过这些活动和网络机会，暑期班被设计成对研究计划和参与者的职业生涯非常有益。该系列讲座的主题具有国际相关性和时效性，但将以研究生和博士后学员可以理解的水平进行陈述。这些主题是：(I)C*-代数的分类，重点是von Neumann代数技巧；(Ii)量子信息论的算符代数方面；(Iii)群的顺从性及其与算符代数的联系。该奖项支持美国博士生和博士后参加此次活动的旅行。该奖项反映了NSF的法定使命，并通过使用基金会的学术价值和更广泛的影响审查标准进行评估，被认为值得支持。