Title： Modular Data of Non-semisimple Modular Categories

Abstract： 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.

Speaker：Qing Zhang， University of California, Santa Barbara.

Date：9:30am-10:30am 2024-6-17（Monday）.

Venue: 208

Tencent Meeting ID：285-148-517

Organizer：School of Mathematical Science

Inviter：Zhiqiang Yu

Students and teachers who are interested in Hopf algebras and tensor categoriesare welcome.