Solitons, Spectral Theory Graphs Educational Tools

孤子、谱理论图教育工具

• 批准号: 0072700
• 负责人: Serguei Novikov
• 金额: $ 16.53万
• 依托单位: University of Maryland, College Park
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2000
• 资助国家: 美国
• 起止时间: 2000-09-01 至 2003-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0072700&HistoricalAwards=false
• 关键词: Solitons; Spectral; Theory; Graphs; Educational

DMS-0072700Sergey NovikovThe main objective of the principal investigator's research program is the unification of topology and geometry with analysis. He is especially interesing in specific results describing some phenomena in real world physics where topological features play akey role. In particular, such phenomena were found by the principal investigators's group in the conductivity of single crystal metals in the presence of strong magnetic field, in the theory of nonlinear waves (solitons), and in the theory of quantum wires (quantum mechanics on graphs). This award will support visitors and graduate students inthe principal investigator's school of mathematics which isprimarily concerned with the unification of topology andgeometry with analysis. In this way young mathematicians caninteract with a variety of outstanding scientists. These interactions include scientific meetings with visitors in miniseminars and attendance at short series of lectures by specially invited outstanding scientists. These interactions will help attract graduate students to the subject and improve the quality of their training at the beginning of their careers.

DMS-0072700 Sergey Novikov首席研究员研究计划的主要目标是拓扑和几何与分析的统一。 他对描述真实的世界物理学中某些现象的具体结果特别感兴趣，在这些物理学中拓扑特征起着关键作用。特别是，主要研究人员小组在强磁场存在下单晶金属的导电性、非线性波（孤子）理论和量子线理论（图上的量子力学）中发现了这种现象。该奖项将为首席研究员数学学院的访客和研究生提供支持，该学院主要关注拓扑学和几何学与分析的统一。 通过这种方式，年轻的数学家可以与各种杰出的科学家互动。 这些互动包括在小型研讨会上与来访者举行科学会议，并出席特邀杰出科学家的简短系列讲座。 这些互动将有助于吸引研究生的主题，并提高他们的职业生涯开始时的培训质量。