题目：Introduction to cyclotomic Khovanov-Lauda-Rouquier algebras

报告人：王起，YMSC

时间及地点：2025年3月20日上午10点，管理科研楼1218

                    2025年3月21日下午2点，五教5206

摘要：We begin by reviewing some combinatorics in the representation theory of cyclotomic Khovanov-Lauda-Rouquier algebras (a. k. a., cyclotomic quiver Hecke algebras), with a focus on their graded dimension formula and bound quiver presentation. We then introduce our constructions on the maximal dominant weights of integrable highest weight modules over quantum groups, as well as our findings on the representation type of cyclotomic KLR algebras, particularly in affine type A. Lastly, we will discuss how $\tau$-tilting theory can be applied in this context. This talk is based on joint work with Susumu Ariki, Berta Hudak, and Linliang Song.