报告题目：Modular Data of Non-semisimple Modular Categories

报告简介：A braided finite tensor category is called modular if it is nondegenerate and ribbon. One of the main examples of a (non-semisimple) modular category is from the representation category of a ribbon factorizable Hopf algebra $H$. Based on the work of Cohen-Westreich, we propose that the restriction of the Lyubashenko-Majid modular representation on the center of $H$ to its Higman ideal can be used as a non-semisimple analogue of the modular data. In this talk, we will discuss the details of the Cohen-Westreich modular data and present examples from the small quantum groups $U_q(sl(2))$ and the Drinfeld doubles of Nichols Hopf algebras.

报告人：张庆，加州大学圣芭芭拉分校

报告人简介：张庆，博士毕业于德州农工大学，现任加州大学圣巴巴拉分校博士后。主要研究领域为张量范畴，工作方向涉及模范畴和超模范畴的分类及构造。相关研究成果发表在《Advances in Mathematics》、《Communications in Mathematical Physics》等期刊。

报告时间：2024年6月17日（星期一）上午 9：30-10:30

报告地点：数学科学学院208会议室

      腾讯会议：285-148-517

主办单位：扬州大学数学科学学院

联系人：于志强

欢迎广大师生参加！