BIMSA

On Fusion Categories IV

This is the sequel of the course "On Fusion Categories III" given last semester. It introduces to the notion fusion category, which can be seen as a representation theory of the (finite) quantum symmetries. It follows the book "Tensor Categories" mentioned in References. The notes and videos of the previous parts are available at:

Part I: http://www.bimsa.cn/newsinfo/526244.html

Part II: https://www.bimsa.cn/newsinfo/601271.html

Part III: https://www.bimsa.cn/newsinfo/749627.html

If you did not attend the previous semesters, you can still attend this one because the course will start by a review of the previous parts.

讲师

塞巴斯蒂安·帕尔库

日期

2023年03月16日至 06月02日

位置

Weekday	Time	Venue	Online	ID	Password
周四,周五	15:20 - 16:55	A3-2-201	ZOOM 06	537 192 5549	BIMSA

修课要求

It should be helpful to be a bit familiar with the general category theory, the finite group theory and the representation theory, but it is not necessary to follow the course.

课程大纲

1. Review of last parts,
2. (Chapter 8) Braided categories,
3. (Chapter 9) Fusion categories.

参考资料

1. Etingof, Pavel; Nikshych, Dmitri; Ostrik, Viktor. On fusion categories. Ann. of Math. (2) 162 (2005), no. 2, 581--642.
2. Etingof, Pavel; Gelaki, Shlomo; Nikshych, Dmitri; Ostrik, Victor. Tensor categories. Mathematical Surveys and Monographs, 205 (2015), xvi+343pp.
http://www-math.mit.edu/~etingof/egnobookfinal.pdf

听众

Undergraduate , Graduate

视频公开

公开

笔记公开

公开

语言

英文

讲师介绍

2010年，获得马赛数学研究所（I2M）博士学位；2014-2016年，在印度数学科学研究所（IMSc）做博士后研究；2019年，在清华大学丘成桐数学科学中心（YMSC）担任为期一年的访问学者；2020-2024年，在BIMSA助理研究员；2024年至今，在BIMSA副研究员。

主要研究领域包括量子代数、量子对称性、子因子、平面代数和融合范畴。在《Advances in Mathematics》、《Quantum Topology》、《IMRN》等期刊发表过论文。