报告推介:本次报告旨在介绍代数学的前沿分支——代数表示论。预备知识为高等代数(如线性空间、矩阵)。欢迎本科生、研究生和各位老师前往。 摘要:A quiver is a directed graph, and a representation of a quiver is a collection of finite dimensional vector spaces, one for each graph vertex, and linear transformations, one for each directed edge. Representations of a given quiver form a category, which can be surprisingly rigid and rich. Representation theory of Lie algebras, quantum groups, algebraic groups and Lie groups and cluster theory represent a major area of mathematical research in the twenty-first century with numerous applications in other areas of mathematics and mathematical physics. In this talk, we will address the deep connections between representation theory of quivers and other mathematical fields such as Lie theory, cluster theory and quiver varieties. The language of quiver and its representations is accessible to a general audience since it only involves vector spaces and matrices. 报告人简介: 陈学庆,美国University of Wisconsin-Whitewater教授。研究领域为有限维代数(箭图)的表示,Hall代数与量子群、Kac-Moody李代数。2002年博士毕业于加拿大Carleton University,先后在University of Ottawa,University of Windsor从事科研工作。陈教授在包括Compositio Math., Contem. Math. , Journal of Algebra等期刊上发表过高水平论文近30篇。 邀请外国专家签批表LX003.pdf |