RTG: Topology, Representation Theory, and Mathematical Physics at Louisiana State University

RTG：路易斯安那州立大学拓扑学、表示论和数学物理

• 批准号: 2231492
• 负责人: Pramod Achar
• 金额: $ 249.61万
• 依托单位: Louisiana State University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2023
• 资助国家: 美国
• 起止时间: 2023-06-01 至 2028-05-31
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2231492&HistoricalAwards=false
• 关键词: RTG; Topology; Representation; Theory; Mathematical

This grant will support a number of initiatives aimed at making Louisiana State University a premier institution in the south for students and early-career mathematicians seeking to engage in cutting-edge research in the fields of topology, representation theory, and mathematical physics. Activities will be pitched at a range of levels, including high school students, undergraduates, graduate students, and postdoctoral researchers, and includes ongoing events during the academic year as well as during the summer months. Through these efforts, the PIs hope to broaden engagement with research-level mathematics while simultaneously helping build a talented workforce of research mathematicians.In the past twenty years, the Department of Mathematics at Louisiana State University has experienced enormous growth in research productivity, in career prospects for Ph.D. graduates, and in visibility on a national and international scale. The present proposal aims to build on this growth on three fronts: (i) Outreach initiatives aimed at local high schools and at regional undergraduate institutions; (ii) Summer "incubator workshops" aimed at launching new research projects and collaborations; and (iii) Enhancing existing infrastructure through graduate traineeships, postdoctoral positions, and seminar support. Specific research projects will draw on the expertise of the team of twelve senior personnel on topics such as contact and symplectic topology, geometric group theory, harmonic analysis, modular representation theory, and the geometric Langlands program.This project is jointly funded by the Topology & Geometric Analysis Program (TGA), The Algebra & Number Theory Program (ANT), the Established Program to Stimulate Competitive Research (EPSCoR), and Research Training Groups in the Mathematical Sciences (RTG).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.

该赠款将支持许多旨在使路易斯安那州立大学成为南方的首要机构的举措，为学生和早期职业数学家寻求从事拓扑，代表理论和数学物理学领域的尖端研究。 活动将在包括高中生，本科生，研究生和博士后研究人员的各种水平上进行，其中包括学年和夏季的持续活动。 通过这些努力，PIS希望扩大与研究级数学的参与，同时帮助建立了研究数学家的才华横溢的劳动力。在过去的二十年中，路易斯安那州立大学的数学系在研究生产力方面经历了巨大的增长，在Ph.D.D.D.D.D.D.D.D的职业前景中。毕业生，以及在国家和国际规模上的知名度。 本提案旨在以三个方面的增长为基础：（i）针对当地高中和地区本科机构的宣传计划； （ii）夏季“孵化器研讨会”旨在启动新的研究项目和合作； （iii）通过研究生培训，博士后职位和研讨会支持来增强现有基础设施。 具体的研究项目将借鉴十二名高级人员的专业知识，例如接触和符号拓扑，几何群体理论，谐波分析，模块化代表理论和几何兰兰兹计划。该项目由拓扑和几何分析计划（TGA），竞争和数量论计划（竞争者和竞争者）（竞争范围）（竞争性研究）共同资助。数学科学（RTG）。该奖项反映了NSF的法定任务，并被认为是值得通过基金会的知识分子优点和更广泛的影响审查标准的评估来支持的。