Homological Methods and Tilting Theory of Finite Dimensional Algebras

有限维代数的同调方法和倾斜理论

• 批准号: 1904770
• 负责人: Miodrag Iovanov
• 金额: $ 2.35万
• 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: 2019
• 资助国家: 美国
• 起止时间: 2019-06-01 至 2019-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1904770&HistoricalAwards=false
• 关键词: Homological; Methods; Tilting; Theory; Finite

The conference "Homological Methods and Tilting Theory of Finite Dimensional Algebras" will be held at The University of Iowa on August 16-19, 2019. The meeting will be a main event for researchers in the field of representation theory of finite dimensional algebras, with special focus on homological methods. Homological and categorical methods, including tilting theory, have had a great impact on representation theory of finite dimensional algebras and many of the main conjectures of the field have a homological flavor. The conference will include both talks by experts on recent progress and new approaches to open questions, and talks by early-career researchers about their research. The meeting will bring together experts in representation theory and related fields, as well as early-career mathematicians, especially postdocs and graduate students. One goal of the meeting is to introduce participants to the latest directions in tilting theory and categorical methods, as well as new ideas and progress on homological conjectures, via expository talks by senior mathematicians that will be accessible to graduate students. The conference will provide a dynamic atmosphere encouraging interactions between leaders in the field and early-career mathematicians and PhD students, and the schedule will provide ample time for discussions and forging new collaborations. Details of the conference are available at the website http://homepage.divms.uiowa.edu/~miovanov/Homological-Methods.html.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.

《有限维代数的同调方法与倾斜理论》会议将于2019年8月16-19日在爱荷华大学举行。这次会议将是有限维代数表示论领域的研究人员的一项主要活动，特别关注同调方法。同调方法和范畴方法，包括倾斜理论，对有限维代数的表示理论产生了很大的影响，该领域的许多主要猜想都有同调的味道。会议将包括专家关于最新进展和解决开放问题的新方法的演讲，以及职业生涯早期研究人员关于他们的研究的演讲。会议将汇集表示理论和相关领域的专家，以及职业生涯早期的数学家，特别是博士后和研究生。会议的目标之一是通过研究生可以接触到的高级数学家的说明性演讲，向与会者介绍倾斜理论和分类方法的最新方向，以及关于同源猜想的新想法和进展。会议将提供一个充满活力的氛围，鼓励该领域的领导者与职业生涯早期的数学家和博士生之间的互动，日程安排将为讨论和建立新的合作提供充足的时间。会议的细节可以在网站上看到，http://homepage.divms.uiowa.edu/~miovanov/Homological-Methods.html.This奖反映了美国国家科学基金会的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。