Conference on Geometric Methods in Representation Theory; November 18-20, 2017; University of Iowa

表示论中的几何方法会议；

• 批准号: 1644393
• 负责人: Ryan Kinser
• 金额: $ 1.13万
• 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: 2016
• 资助国家: 美国
• 起止时间: 2016-09-01 至 2019-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1644393&HistoricalAwards=false
• 关键词: Conference; Geometric; Methods; Representation; Theory

The fourth and fifth conferences on Geometric Methods in Representation Theory will be held at the University of Missouri on November 19-21, 2016, and at the University of Iowa on November 18-20, 2017. Representation theory is a branch of modern algebra studying symmetries in linear spaces. It interacts with many other areas in mathematics, mathematical physics, and theoretical computer science. Geometric methods have become more and more fundamental in all of these areas. One of the main objectives of these conferences is to introduce beginning researchers in representation theory to the power of geometric methods. The keynote speakers for these conferences will be Harm Derksen in 2016 and Julia Pevtsova in 2017. Each keynote speaker will give two one-hour lectures, emphasizing geometric methods; these talks will be accessible to graduate students and postdoctoral researchers. There will also be several expository lectures given by other experts. The remainder of the lectures will be research talks given by both senior and junior mathematicians. These will include several talks by graduate students and postdoctoral researchers related to their Ph.D. theses. The conference will provide an inviting atmosphere in which new collaborations can be formed and young researchers have the opportunity to learn about cutting-edge geometric methods in representation theory. Moreover, the conference will enable junior representation theorists to present their work and interact with the broader research community. Over the last 40 years, the representation theory of finite dimensional algebras has enjoyed a great impact of methods from algebraic geometry, in particular from geometric invariant theory and transformation groups. At the same time, this influence has led to the feedback of ideas and techniques from representation theory to geometry. One of the goals of the conferences on Geometric Methods in Representation Theory is to help strengthen and advance this interaction between geometry and representation theory. The topics of these conferences will include: semi-invariants for bound quivers; representations of group schemes of constant Jordan type and vector bundles; geometric aspects of cluster algebras; degenerations of modules and the geometry of orbit closures in module varieties; moduli problems for finite dimensional algebras; and universal deformation rings and their connection to moduli spaces. More information about these conferences on Geometric Methods in Representation Theory at the University of Missouri-Columbia and at the University of Iowa can be found at http://homepage.math.uiowa.edu/~fbleher/CGMRT.html

第四届和第五届表征理论几何方法会议将于2016年11月19-21日在密苏里大学举行，2017年11月18-20日在爱荷华大学举行。表示论是研究线性空间对称性的现代代数的一个分支。它与数学、数学物理和理论计算机科学的许多其他领域相互作用。几何方法在这些领域变得越来越重要。这些会议的主要目的之一是向表示理论的初学者介绍几何方法的力量。这些会议的主题演讲者将分别是2016年的Harm Derksen和2017年的Julia Pevtsova。每位主讲人将进行两次一小时的讲座，重点介绍几何方法；这些讲座将对研究生和博士后研究人员开放。也会有其他专家的几次说明性讲座。剩下的讲座将由高级和初级数学家进行研究报告。这些讲座将包括研究生和博士后研究人员与他们的博士论文相关的几场讲座。会议将提供一个吸引人的氛围，可以形成新的合作，年轻的研究人员有机会学习表征理论中的前沿几何方法。此外，会议将使初级代表理论家能够展示他们的工作并与更广泛的研究团体互动。近40年来，有限维代数的表示理论受到了代数几何方法，特别是几何不变量理论和变换群方法的巨大影响。同时，这种影响导致了从表征理论到几何的思想和技术的反馈。表征理论中的几何方法会议的目标之一是帮助加强和推进几何与表征理论之间的相互作用。这些会议的主题将包括：约束颤振的半不变量；常Jordan型和向量束群格式的表示簇代数的几何方面；模的退化和模的轨道闭包几何有限维代数的模问题通用变形环及其与模空间的联系。更多关于在密苏里-哥伦比亚大学和爱荷华大学举行的表征理论几何方法会议的信息可以在http://homepage.math.uiowa.edu/~fbleher/CGMRT.html上找到