On Fusion Categories III

Record: Yes

Level: Undergraduate

Language: English

Prerequisite

Category theory

Abstract

This is the sequel of the course "On Fusion Categories II" given last semester.It introduces to the notion fusion category, which can be seen as a representation theory of the (finite) quantum symmetries. The notes and videos of the first and second parts are available at: Part I: http://www.bimsa.cn/newsinfo/526244.html Part II: https://www.bimsa.cn/newsinfo/601271.html

Reference

1. Etingof, Pavel; Nikshych, Dmitri; Ostrik, Viktor. On fusion categories. Ann. of Math. (2) 162 (2005), no. 2, 581--642.Etingof, Pavel; Gelaki, Shlomo;

2. Nikshych, Dmitri; Ostrik, Victor. Tensor categories. Mathematical Surveys andMonographs, 205 (2015), xvi+343 pp. http://www-math.mit.edu/~etingof/egnobookfinal.pdf

Syllabus

1. (Chapter 7) Module categories

2. (Chapter 8) Braided categories

3. (Chapter 9) Fusion categories

Lecturer Intro

2010年于 Institut de Mathématiques de Marseille (I2M)取得数学博士学位

2014-2016 于 Institute of Mathematical Sciences (IMSc)任博士后

2020-至今于北京雁栖湖应用数学研究院任助理研究员

主要研究兴趣：量子代数，量子对称，子因子平面代数和融合范畴。在Advances in Mathematics, Quantum Topology等多个杂志上发表学术论文。

Lecturer Email: sebastienpalcoux@bimsa.cn

TA: Dr. Tinhinane Amina Azzouz, azzouzta@bimsa.cn