On the graded dimensions and the center of the cyclotomic KLR algeras
数学公众报告(120周年校庆系列第23场)
报告题目(Title):On the graded dimensions and the center of the cyclotomic KLR algeras
报告人(Speaker):胡峻 教授 北京理工大学
地点(Place):腾讯会议:316-518-465
时间(Time):2022年5月20日,15:00-16:00
邀请人(Inviter):胡维
报告摘要
The KLR algebras and their cyclotomic quotients play some important roles in the categorification of quantum groups and their integrable highest weight modules. In this talk I shall first give an introduction to the theory of KLR algebras and then report our recent progress on the graded dimensions and the Center Conjecture for the cyclotomic KLR algebras. This talk is based on a joint work with Shi Lei (arXiv:2108.05508) and Lin Huang (arXiv:2204.11659).