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

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基本。这次会议的主要目标之一是介绍表示论的研究人员开始几何方法的力量。本次会议的主讲人将是来自东北大学的Gordana Todorov教授，他将为研究生和博士后研究人员提供两个一小时的讲座。此外，还将有其他知名专家的讲座。讲座的其余部分将由高级和初级数学家进行研究会谈。这将包括研究生和博士后研究人员与他们的博士学位有关的几个讲座。论文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征理论中的尖端几何方法。此外，会议将使初级表示理论家介绍他们的工作，并与更广泛的社区互动，这是在就业前的季节在秋季的重要活动。在过去的40年中，有限维代数的表示理论已经享受了代数几何方法的巨大影响，特别是从几何不变理论和变换群。与此同时，这使得反馈到几何思想和技术从表示论。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和表示论的这种相互作用。本次会议的主题将包括：几何方面的集群代数;半不变量的约束箭;退化的模块和几何轨道封闭模块品种;模问题的有限维代数;普遍变形环及其连接到模空间。有关会议的更多信息，请访问http://www.math.uiowa.edu/~fbleher/CGMRT2014.html。

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.