https://www.bimsa.cn/newsinfo/815736.htmlCategory Theory
Lecturer
Hao Zheng
Date
2023-02-22 ~ 2023-06-07
Schedule
Weekday Start End Venue Online ID Password Link
Wed 08:50 12:15 1118 ZOOM 242 742 6089 BIMSA
https://us02web.zoom.us/my/bimsa03Record
Yes
Introduction
This course is designed to provide an introduction to the category theory and is appropriate to students interested in algebras, topology and mathematical physics.
Audience
Graduate, Undergraduate
Language
Chinese
Prerequisite
Advanced algebra, Abstract algebra, Algebraic topology
Syllabus
1. Definitions and properties
2. Limits and analysis
3. Tensor categories and fusion categories
Reference
1. S. MacLane, Categories for the Working Mathematician, Graduate Texts in Mathematics 5 (second ed.), Springer, 1998.
2. E. Riehl, Category Theory in Context, Dover Publications, 2016.
3. P. Etingof, S. Gelaki, D. Nikshych, V. Ostrik, Tensor Categories, Mathematical Surveys and Monographs 205, American Mathematical Society, 2015
Lecturer Intro
2005年获得北京大学博士学位，其后在中山大学、北京大学、南方科技大学和清华大学任教。研究方向包括低维拓扑、表示论、数学物理等。主要研究成果涉及辫群的表示及应用，纽结体积猜想的部分证明，量子群表示的范畴化，融合范畴中心的函子性，enriched范畴的中心，拓扑序无能隙边界的分类，高维拓扑序分类，高维融合范畴理论等。获2007年钟家庆数学奖。
TA
Dr. Wei Cui
Video
Notes
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