On braided fusion categories
This course closely examines the material in [DGNO10]. We begin by providing a thorough and self-contained overview of the known results on braided fusion categories, without assuming they are pre-modular or non-degenerate. Following this, the primary objective of this course is to introduce the concept of the core of a braided fusion category. This concept enables us to distinguish the components of a braided fusion category that are not derived from finite groups.
日期
2025年03月13日 至 06月12日
位置
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| 周四,周五 | 15:20 - 16:55 | A3-3-301 | ZOOM 03 | 242 742 6089 | BIMSA |
修课要求
Familiarity with the concept of fusion categories is assumed; however, key definitions and fundamental results will be reviewed. For further reading, please refer to [ENO05] and [EGNO15], as well as the videos and notes from the previous courses [I], [II], [III], and [IV] listed in the references.
参考资料
[DGNO10] Drinfeld, Vladimir; Gelaki, Shlomo; Nikshych, Dmitri; Ostrik, Victor. On braided fusion categories. I. Selecta Math. (N.S.) 16 (2010), no. 1, 1--119.
[ENO05] Etingof, Pavel; Nikshych, Dmitri; Ostrik, Viktor. On fusion categories. Ann. of Math. (2) 162 (2005), no. 2, 581--642.
[EGNO15] Etingof, Pavel; Gelaki, Shlomo; Nikshych, Dmitri; Ostrik, Victor. Tensor categories. Mathematical Surveys and Monographs, 205. American Mathematical Society, Providence, RI, 2015. xvi+343 pp.
Links to the relevant previous courses:
[I] http://bimsa.net/activity/Fusion
[II] http://bimsa.net/activity/FusionII
[III] http://bimsa.net/activity/FusionIII
[IV] http://bimsa.net/activity/fuscatIV
[ENO05] Etingof, Pavel; Nikshych, Dmitri; Ostrik, Viktor. On fusion categories. Ann. of Math. (2) 162 (2005), no. 2, 581--642.
[EGNO15] Etingof, Pavel; Gelaki, Shlomo; Nikshych, Dmitri; Ostrik, Victor. Tensor categories. Mathematical Surveys and Monographs, 205. American Mathematical Society, Providence, RI, 2015. xvi+343 pp.
Links to the relevant previous courses:
[I] http://bimsa.net/activity/Fusion
[II] http://bimsa.net/activity/FusionII
[III] http://bimsa.net/activity/FusionIII
[IV] http://bimsa.net/activity/fuscatIV
听众
Undergraduate
, Advanced Undergraduate
, Graduate
, 博士后
, Researcher
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。
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。