报告题目：Complete Positivity of Comultiplication and Primary Criteria for Unitary Categorification

报告简介：In the recent paper, arXiv:2210.00792, we investigate quantum Fourier analysis on subfactors and unitary fusion categories. We prove the complete positivity of the comultiplication for subfactors and derive a primary n-criterion of unitary categorifcation of multifusion rings. It is stronger than the Schur product criterion when n≥3. The primary criterion could be transformed into various criteria which are easier to check in practice even for noncommutative, high-rank, high-multiplicity, multifusion rings. More importantly, the primary criterion could be localized on a sparse set, so that it works for multifusion rings with sparse known data. We give numerous examples to illustrate the efficiency and the power of these criteria.

报告人：刘正伟，清华大学丘成桐数学科学中心及数学科学系教授，北京雁栖湖应用数学研究院副院长。海外高层次引进人才。曾解决多个重要数学公开问题，提出量子傅里叶分析理论，提出Quon语言研究量子信息。2019年获得华人数学家大会（ICCM）银奖。

报告时间：2022年10月25日(周二)16:30-17:30

报告地点：数学科学学院报告厅208；腾讯会议，ID：442 890 492

主办单位：扬州大学数学科学学院

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