报告题目：Witt groups and signatures of modular tensor categories

报告简介：In this talk, we introduce the notion of signatures of fusion categories. These signatures can be extended to Witt invariants of modular or super-modular categories. The higher central charges of any modular category can be expressed in terms of its first central charge and signature. The signatures of an infinite sequence of quantum group modular categories are proved to be linearly independent, which implies a conjecture of Davydov-Nikshych-Ostrik on the super-Witt group. This talk is based on a joint work with Eric Rowell, Yilong Wang and Qing Zhang.

报告人：Siu-Hung Ng (吴少雄)，路易斯安那州立大学

Siu-Hung Ng (吴少雄)，美国路易斯安那州立大学数学系教授，现从事Hopf 代数, quasi-Hopf代数与张量范畴研究。吴少雄教授对有限维Hopf代数分类及spherical 张量范畴的不变量如：Frobenius-Schur指标与指数等感兴趣。 已在J. Amer. Math. Soc, Adv. Math, Tran. Amer. Math. Soc, Comm. Math. Phys, Int Math. Res. Not. 等国际重要学术刊物上发表论文30余篇。

报告时间：2021年6月19日（星期六）上午 10：30-11:30.

报告地点：数学科学学院204会议室

腾讯会议，ID： 291 660 583

主办单位：扬州大学数学科学学院