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About
President
Governance
Partner Institutions
Visit
People
Management
Faculty
Postdocs
Visiting Scholars
Staff
Research
Research Groups
Courses
Seminars
Join Us
Faculty
Postdocs
Students
Events
Conferences
Workshops
Forum
Life @ BIMSA
Accommodation
Transportation
Facilities
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News
News
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Qiuzhen College, Tsinghua University
Yau Mathematical Sciences Center, Tsinghua University (YMSC)
Tsinghua Sanya International  Mathematics Forum (TSIMF)
Shanghai Institute for Mathematics and  Interdisciplinary Sciences (SIMIS)
BIMSA > Hopf Algebras and Tensor Categories \(ICBS\)
Hopf Algebras and Tensor Categories
In this course, we give a brief introduction to Hopf algebras and their representation categories. We will then generalize such categories and study the abstract theory of tensor categories.
Lecturer
Yi Long Wang
Date
13th September, 2022 ~ 3rd January, 2023
Website
https://www.bimsa.cn/newsinfo/749641.html
Prerequisite
Graduate level algebra.
Syllabus
1. The structure and action of Hopf algebras;
2. Integral theory;
3. Drinfeld double;
4. Quasi-Hopf algebras;
5. Tensor categories
Reference
1. S. Montgomery. Hopf algebras and their actions on rings. CBMS Regional Conference Series in Mathematics 82.
2. C. Kassel. Quantum Groups. Graduate Texts in Mathematics 155.
3. M. E. Sweedler. Hopf algebras. Mathematics Lecture Note Series, 1969.
Audience
Graduate
Video Public
No
Notes Public
No
Language
Chinese
Lecturer Intro
Yilong Wang graduated from The Ohio State University in 2018. After working in Louisiana State University as a postdoc researcher, he joined BIMSA as an assistant research fellow in 2021. His research interests include modular tensor categories and topological quantum field theories.
Beijing Institute of Mathematical Sciences and Applications
CONTACT

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北京市怀柔区 河防口村544号
北京雁栖湖应用数学研究院 101408

Tel. 010-60661855
Email. administration@bimsa.cn

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