报告时间：2023年10月19日，23日，9:00-10:00 & 19:30-20:30.

报告地点：腾讯会议ID：979 8681 4426

报告人：Prof. Alistair Savage

工作单位：University of Ottawa

举办单位：数学学院

报告摘要：The concepts of symmetry and duality play a pivotal role in representation theory. We will examine how these notions can be formulated in the context of monoidal categories, and even monoidal supercategories. We will begin by introducing the technique of string diagrams. Then we will examine the possible types of dualities and symmetries that can arise in monoidal (super)categories, using intuitive diagrammatic arguments to deduce some of their basic properties. All of this will lead us naturally to oriented and unoriented Brauer categories, which are intimately related to the representation theory of Lie (super)groups.

报告人简介：Alistair Savage，是加拿大渥太华大学数学与统计学院教授，于2003年毕业于耶鲁大学，主要从事与李理论的表示范畴相关的研究。至今为止在Adv. Math., Math. Ann, Comm. Math. Phys., Trans. Amer. Math. Soc.等杂志发表高水平论文50多篇。目前是Algebras and Representation Theory,Canadian Journal of Mathematics和Canadian Mathematical Bulletin等杂志的编委。