Conference on Geometric Methods in Representation Theory; November 19-21, 2016, University of Missouri, Columbia

第四届和第五届表示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。这些会议的主要目的之一是向表示理论的初级研究人员介绍几何方法的力量。这些会议的主旨演讲者将分别是2016年的Harm Derksen和2017年的Julia Pevtsova。每位主讲人将作两次一小时的演讲，强调几何方法；这些演讲将对研究生和博士后研究人员开放。还将有其他专家的几次说明性讲座。剩下的讲座将是高级数学家和初级数学家的研究讲座。这些演讲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，年轻的研究人员有机会学习表示理论中的前沿几何方法。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极大影响，特别是几何不变量理论和变换群的影响。与此同时，这种影响导致了从表象理论到几何学的思想和技术的反馈。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之间的这种互动。这些会议的主题将包括：有界箭图的半不变量；常量Jordan类型和向量丛的群方案的表示；簇代数的几何方面；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；以及泛变形环及其与模空间的联系。有关密苏里-哥伦比亚大学和爱荷华大学关于表示理论几何方法的会议的更多信息，请访问http://homepage.math.uiowa.edu/~fbleher/CGMRT.html。

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