Category Theory
This course is designed to provide an introduction to the category theory and is appropriate to students interested in algebras, topology and mathematical physics.
Lecturer
Date
22nd February ~ 14th June, 2023
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Wednesday | 09:30 - 12:00 | A3-3-201 | ZOOM 03 | 242 742 6089 | BIMSA |
Prerequisite
Advanced algebra, Abstract algebra, Algebraic topology
Syllabus
1. Definitions and properties
2. Limits and analysis
3. Tensor categories and fusion categories
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
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
Audience
Undergraduate
, Graduate
Video Public
Yes
Notes Public
Yes
Language
Chinese
Lecturer Intro
Hao Zheng received his Ph.D. from Peking University in 2005, and then taught at Sun Yat-sen University, Peking University, Southern University of Science and Technology and Tsinghua University. Research directions include low-dimensional topology, representation theory, mathematical physics, etc. The main research achievements involve the representation and application of braided groups, the partial proof of the knot volume conjecture, the categorization of quantum group representations, the functoriality of the centers of fused categories, the centers of enriched categories, the classification of topologically ordered gapless boundaries, and high-dimensional topology Ordinal classification, high-dimensional fusion category theory, etc. He won the Zhong Jiaqing Mathematics Award in 2007.