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

第四届和第五届表示论几何方法会议将于2016年11月19-21日在密苏里大学、2017年11月18-20日在爱荷华大学举行。表示论是现代代数研究的一个分支线性空间中的对称性。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。几何方法在所有这些领域中变得越来越重要。这些会议的主要目标之一是向表示论的初级研究人员介绍几何方法的力量。这些会议的主讲人将是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，强调几何方法；这些讲座将向研究生和博士后研究人员开放。其他专家还将进行一些说明性讲座。其余的讲座将是由高级和初级数学家进行的研究讲座。其中将包括研究生和博士后研究人员与其博士学位相关的几次演讲。论文。会议将营造一种温馨的氛围，促进新的合作，年轻的研究人员有机会了解表示理论中的前沿几何方法。此外，会议将使初级代表性理论家能够展示他们的工作并与更广泛的研究界互动。在过去的40年里，有限维代数的表示论受到了代数几何方法的巨大影响，特别是几何不变量理论和变换群的影响。同时，这种影响导致了从表示论到几何的思想和技术的反馈。表示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示论之间的相互作用。这些会议的主题将包括： 绑定箭袋的半不变量；常 Jordan 型和向量丛的群方案的表示；簇代数的几何方面；模块的退化和模块品种中轨道闭合的几何形状；有限维代数的模问题；和通用变形环及其与模空间的连接。有关密苏里哥伦比亚大学和爱荷华大学的表示论几何方法会议的更多信息，请访问 http://homepage.math.uiowa.edu/~fbleher/CGMRT.html