International Workshop on Operator Theory and Applications 2020

2020年算子理论与应用国际研讨会

基本信息

批准号：
1953940
负责人：
Raul Curto
金额：
$ 2.4万
依托单位：
University of Iowa
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：
2020-06-01 至 2024-12-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1953940&HistoricalAwards=false
关键词：
International Workshop Operator Theory Applications

项目摘要

This award will cover travel for sixteen early-career mathematicians to attend the International Workshop in Operator Theory and Applications (IWOTA), to be held at Lancaster University in the United Kingdom, during August 17 - 21, 2020. The conference is not only the largest operator theory in the world, but it is also considered the premier event that connects operator theory to other disciplines that employ operator theoretic techniques and related mathematical results. IWOTA 2020 will be devoted to all aspects of operator theory and its applications and will feature top researchers from all around the world. Having such a major event organized in Lancaster will also provide a unique opportunity to reinforce research ties between some of the best experts in the field in the United States and United Kingdom.Many problems in physics, mathematics, and engineering can be best described by representing complex physical entities as large arrays of numbers and mathematical symbols, called matrices. Matrices help us visualize how linear transformations act on vector spaces; determining their structure reveals important properties of the transformations. Hilbert space operators are infinite-dimensional generalizations of matrices. The generalization of a vector is often a function and, as a result, operators are frequently modeled as multiplications on spaces of functions. At present, IWOTA 2020 will consist of four plenary speakers, fourteen semi-plenary speakers, and several special sessions. The topics of the special sessions include operator spaces, quantized function theory and noncommutative Lebesgue spaces, operator algebras and quantum theory, noncommutative probability and random matrices, operator semigroups and functional calculus, spectral theory and differential equations, operators on analytic function spaces and related applications, complex geometry and operator theory, free algebraic geometry, quantum groups and algebraic quantum field theory, linear systems, and a workshop for early-career researchers. The conference website is https://www.lancaster.ac.uk/maths/iwota2020/.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.

该奖项将资助 16 名职业生涯早期数学家参加将于 2020 年 8 月 17 日至 21 日在英国兰卡斯特大学举行的算子理论与应用国际研讨会 (IWOTA)。世界上最大的算子理论，但它也被认为是将算子理论与采用算子理论技术和相关数学结果的其他学科联系起来的首要活动。 IWOTA 2020 将致力于算子理论及其应用的各个方面，并将汇聚来自世界各地的顶尖研究人员。在兰卡斯特举办这样一次重大活动也将提供一个独特的机会来加强美国和英国该领域一些最优秀专家之间的研究联系。物理、数学和工程学中的许多问题可以通过代表来最好地描述复杂的物理实体，如大量数字和数学符号（称为矩阵）。矩阵帮助我们可视化线性变换如何作用于向量空间；确定它们的结构揭示了转换的重要属性。希尔伯特空间算子是矩阵的无限维推广。向量的泛化通常是一个函数，因此，运算符经常被建模为函数空间上的乘法。目前，IWOTA 2020将由四位全体会议发言人、十四位半全体会议发言人和几个特别会议组成。特别会议的主题包括算子空间、量化函数论和非交换勒贝格空间、算子代数和量子理论、非交换概率和随机矩阵、算子半群和泛函微积分、谱理论和微分方程、解析函数空间算子及相关应用、复杂几何和算子理论、自由代数几何、量子群和代数量子场论、线性系统以及针对早期职业研究人员的研讨会。会议网站为https://www.lancaster.ac.uk/maths/iwota2020/。该奖项反映了NSF的法定使命，并通过使用基金会的智力价值和更广泛的影响审查标准进行评估，被认为值得支持。