Conference on Geometric Methods in Representation Theory, November 22-24, 2014

表示论中的几何方法会议，2014 年 11 月 22-24 日

• 批准号: 1444778
• 负责人: Frauke Bleher
• 金额: $ 1.15万
• 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: 2014
• 资助国家: 美国
• 起止时间: 2014-11-01 至 2015-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1444778&HistoricalAwards=false
• 关键词: Conference; Geometric; Methods; Representation; Theory

This award supports participation in the Third Conference on Geometric Methods in Representation Theory, held at the University of Iowa on November 22-24, 2014. Representation theory is a branch of modern algebra studying symmetries in linear spaces. It interacts with many other areas in mathematics, mathematical physics, chemistry, and theoretical computer science. Geometric methods have become more and more fundamental in all of these areas. One of the main objectives of this conference is to introduce beginning researchers in representation theory to the power of geometric methods. The keynote speaker for this conference will be Professor Gordana Todorov from Northeastern University who will give two one-hour lectures which will be accessible to graduate students and postdoctoral researchers. There will also be several expository lectures given by other well-known experts. The remainder of the lectures will be research talks given by both senior and junior mathematicians. This 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 possibility 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 community, which are crucial activities in the pre-employment season in the fall.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 has allowed to feed back into geometry ideas and techniques from representation theory. One of the goals of the Conference on Geometric Methods in Representation Theory is to help strengthen and advance this interaction of geometry and representation theory. The topics of this conference will include: geometric aspects of cluster algebras; semi-invariants for bound quivers; degenerations of modules and the geometry of orbit closures in module varieties; moduli problems for finite-dimensional algebras; universal deformation rings and their connection to moduli spaces. More information about the conference can be found at http://www.math.uiowa.edu/~fbleher/CGMRT2014.html.

该奖项支持参加2014年11月22日至24日在爱荷华州大学举行的第三届表示理论几何方法会议。表示论是现代代数的一个分支，研究线性空间中的对称性。它与数学、数学物理、化学和理论计算机科学中的许多其他领域相互作用。几何方法在所有这些领域都变得越来越基础。这次会议的主要目的之一是介绍表示理论的初级研究人员，了解几何方法的力量。这次会议的主讲人将是东北大学的Gordana Todorov教授，他将做两次一小时的演讲，研究生和博士后研究人员都可以听到。还将有其他知名专家的几场说明性讲座。剩下的讲座将是高级数学家和初级数学家的研究讲座。这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次演讲。会议将提供一个诱人的氛围，在其中可以形成新的合作，年轻的研究人员有可能了解表示理论中的前沿几何方法。此外，会议将使初级表示理论家能够展示他们的工作并与更广泛的社区互动，这是秋季就业前季节的关键活动。在过去的40年里，有限维代数的表示理论受到了代数几何方法的巨大影响，特别是来自几何不变量理论和变换群的影响。同时，这也使得几何思想和技术从表象理论中得到了反馈。表象理论几何方法会议的目标之一是帮助加强和推进几何与表象理论的这种相互作用。这次会议的主题将包括：簇代数的几何方面；有界箭图的半不变量；模簇中的模的退化和轨道闭包的几何；有限维代数的模问题；泛变形环及其与模空间的联系。欲了解更多有关这次会议的信息，请访问http://www.math.uiowa.edu/~fbleher/CGMRT2014.html.。