International Conference on Representation Theory and Commutative Algebra

表示论和交换代数国际会议将于4月24日至27日在康涅狄格大学举行，将使各级研究人员聚集在一起，进一步探索标题中提到的领域之间的联系。广义地说，表示论试图用具体的术语来实现抽象的代数对象，通常是通过矩阵或其他易于理解的结构的集合。其哲学是，为了更好地探索群（作为对象的对称性而产生）或代数（作为对象之间的函数而产生）或任何其他相关代数结构的行为，可以从描述这种结构可以作用于集合的所有方式开始。 写下这样的特征可能是一个非常困难的问题，但是有一些数学领域可以导致对这些行为的更深入的理解，包括交换代数。 本次会议将研究从这个角度可以收集到的关于表征理论的数据。会议将寻求传播最新成果，同时邀请下一代年轻研究人员参与新的发展。 专家们将分享理论进展，并为问题提供视角，早期职业参与者将通过海报展示讨论他们的贡献。欲了解更多详情，请参阅http://condor.depaul.edu/acarro15/ICRTCA.html代数几何技术已被应用于问题的表示理论自七十年代初。几何的观点是把使用卡茨在定位不可分解的表示的箭图，由耶日韦曼在建设自由决议的定义理想的模块品种，由耶日韦曼和伤害德克森在证明饱和性质的Littlewood理查森系数，并由阿拉斯泰尔国王在建设模空间的表示。本次会议的目的是解决几个具体问题和一些问题，从这些几何方法演变而来。

The International Conference on Representation Theory and Commutative Algebra, to be held April 24-27 at the University of Connecticut, will bring researchers of all levels together to further explore the connections between the fields mentioned in the title. Broadly speaking, representation theory attempts to realize abstract algebraic objects in concrete terms, usually via collections of matrices or other well-understood constructs. The philosophy is that to better explore the behavior of a group (arising as symmetries of objects) or an algebra (arising as functions between objects) or any other pertinent algebraic structure, one can start by characterizing all manners in which such a structure can act upon a set. Writing down such a characterization can be a tremendously difficult problem, but there are fields of mathematics that can lead to deeper understanding of these actions, including commutative algebra. This conference will examine the data that can be gleaned about representation theory from this point of view. The conference will seek to disseminate recent results while inviting the next generation of junior researchers to take part in new developments. Experts will share theoretical progress and lend perspective to the questions, and early career participants will discuss their contributions through poster presentations. For more details see http://condor.depaul.edu/acarro15/ICRTCA.html Algebro-geometric techniques have been applied to problems in representation theory since the early seventies. The geometric point of view was put to use by Kac in locating indecomposable representations of quivers, by Jerzy Weyman in constructing free resolutions of defining ideals of module varieties, by Jerzy Weyman and Harm Derksen in proving the saturation property for Littlewood-Richardson coefficients, and by Alastair King in constructing moduli spaces of representations. The aim of this conference is to address several specific questions and a number of problems that have evolved from these geometric approaches.