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

该奖项支持参加于2014年11月22日至24日在爱荷华大学举行的第三届表征理论几何方法会议。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、化学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。这次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。本次会议的主讲人将是来自东北大学的Gordana Todorov教授，他将进行两次一小时的讲座，面向研究生和博士后研究人员。还将有几场由其他知名专家进行的说明性讲座。剩下的讲座将由高级和初级数学家进行研究报告。这将包括研究生和博士后研究人员与他们的博士论文有关的几场演讲。会议将提供一个吸引人的氛围，可以形成新的合作，年轻的研究人员有可能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社区互动，这是秋季就业前季节的关键活动。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。与此同时，这也允许从表示理论反馈到几何思想和技术。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的相互作用。本次会议的主题将包括：簇代数的几何方面；约束颤振的半不变量；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。有关会议的更多信息可在http://www.math.uiowa.edu/~fbleher/CGMRT2014.html上找到。

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.