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.

该奖项将支持美国参加将于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”。会议将集中在算子理论的主题。算子的研究是数学的一个经典领域，为许多科学领域的发展提供了强大的工具;例如量子理论，物理学和力学。该奖项将资助美国各机构的数学家和研究生参加讲习班和工作组会议的旅费。洛伦兹中心将主办并协助协调这一数学活动。该中心提供了一个良好的环境来学习和讨论数学。会议将通过促进与会者之间的充分互动，对研究生和早期职业数学家的教育产生重大影响。组织者将共同努力，将妇女和其他在数学科学中代表性不足的群体包括在内。为了扩大本次研讨会的影响力，组织者将向更广泛的数学界广泛传播研讨会的成果。研讨会包括六个讲座，后续研讨会，以及密集的小组会议，所有这些都将在洛伦兹中心举行。本次会议将集中关注算子理论和应用的主题。要解决的主题包括：特殊加权复合算子的研究及其与著名的开放问题在复分析和功能分析，如布伦南猜想或不变子空间问题的连接;单位盘和其不变子空间上的H2的移位算子;双盘上的H2理论及其与许多问题的数值范围的制定的连接;逆特征值问题的无限维设置;研究复杂的对称算子的希尔伯特空间;乘法算子和结构投影JB*-三元组;和半群方法和算子理论方法应用于发展方程。参加者将有机会听取著名运营商理论家的讲座，然后讨论想法，以小组形式探索问题的解决方案。会议网页：https://www.memphis.edu/msci/totw2020/和洛伦兹中心网站：https://www.lorentzcenter.nl/lc/web/2020/1238/info.php3? wsid= 1238 venue = Oort 1该奖项反映了NSF的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。