Trends in Operator Theory Workshop

算子理论研讨会趋势

• 批准号: 1956360
• 负责人: Fernanda Botelho
• 金额: $ 3.5万
• 依托单位: University of Memphis
• 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: 2020-05-01 至 2023-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1956360&HistoricalAwards=false
• 关键词: Trends; Operator; Theory; Workshop

This award will support U.S. participants in the “Trends in Operator Theory Workshop” to be held June 22-26, 2020, at the Lorentz Center in the Netherlands. The meeting will focus on topics in operator theory. The study of operators is a classical area of mathematics that provides powerful tools useful in the development of many areas of science; for example quantum theory, physics, and mechanics. The award will support travel expenses of mathematicians and graduate students from institutions in the United States to participate in the workshop and also in working group sessions. The Lorentz Center will host and assist with the coordination of this mathematical event. The Center provides an excellent environment to learn and discuss mathematics. The conference will have significant impact on the education of graduate students and early career mathematicians by promoting ample interactions among participants. The organizers will make a concerted effort to include women and other groups underrepresented in the mathematical sciences. To extend the impact of this workshop beyond immediate participants, the organizers will disseminate widely the workshop products to the broader mathematical community.The workshop consists of a series of six lectures, follow-up seminars, and also intensive group sessions, all to take place at the Lorentz Center. This conference will focus attention on topics from Operator Theory and applications. Topics to be addressed include: The study of particular weighted composition operators and their connection with renowned open questions in Complex Analysis and Functional Analysis, like the Brennan Conjecture or the Invariant Subspace Problem; the shift operator on H2 on the unit disk and its invariant subspaces; the theory for H2 on the bi-disk and its connection to the formulation of many questions about the numerical range; inverse eigenvalue problems on an infinite dimensional setting; the study of complex symmetric operators on a Hilbert space; multiplication operators and structural projections on JB*-triples; and semigroup methods and operator theoretic methods applied to evolution equations. Participants will have the opportunity to hear lectures by prominent operator theorists, and then discuss ideas to explore solutions of problems in small groups. A conference webpage is at: https://www.memphis.edu/msci/totw2020/ and also at the Lorentz Center website: https://www.lorentzcenter.nl/lc/web/2020/1238/info.php3?wsid=1238venue=Oort1This 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.

该奖项将支持2020年6月22日至26日在荷兰洛伦兹中心举行的“运营商理论研讨会趋势”的参与者。会议将重点介绍操作者理论中的主题。对运营商的研究是数学的经典领域，可为许多科学领域的发展提供有用的强大工具。例如量子理论，物理和力学。该奖项将支持来自美国机构的数学家和研究生的旅行费用，以参加研讨会以及工作组会议。洛伦兹中心将主持并协助此数学事件的协调。该中心为学习和讨论数学提供了一个绝佳的环境。该会议将通过促进参与者之间的充分互动来对研究生和早期职业数学家的教育产生重大影响。组织者将努力努力，包括女性和其他在数学科学中代表性不足的团体。为了将研讨会的影响扩展到直接的参与者之外，组织者将广泛将研讨会产品传播到更广泛的数学社区。该研讨会由一系列六个讲座，后续的仪式和强化小组会议组成，所有这些都将在洛伦兹中心举行。这次会议将关注运营商理论和应用的主题。要解决的主题包括：在复杂的分析和功能分析中，对特定加权构图操作员的研究及其与著名的开放问题的联系，例如Br​​ennan猜想或不变的子空间问题；单位磁盘上的H2上的移位操作员及其不变子空间； H2在双盘上的理论及其与有关数值范围的许多问题的公式的联系；在无限维度设置上的特征值问题；希尔伯特空间上复杂的对称操作员的研究； JB*-Triples上的乘法运算符和结构项目；以及应用于进化方程的半群方法和运算符理论方法。参与者将有机会听取著名经营理论家的讲座，然后讨论探索小组中问题解决方案的想法。会议网页网址为：https：//www.memphis.edu/msci/msci/totw2020/以及Lorentz Center网站：https：//wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww.nl/web/web/web/2020/2020/1238/1238/1238/info.phsid and supsity and sits andfp3？通过使用基金会的知识分子优点和更广泛的审查标准，通过评估来诚实地获得支持。