Selected topics on category theory in 2022
This course is designed for topics of category theory concerning mathematical physics and condensed matter physics. Topics will be selected from the following list:
• Advanced topics on fusion categories
• Higher categories
• Higher fusion categories and condensation theory
• Enriched categories
• Factorization homology
• Advanced topics on fusion categories
• Higher categories
• Higher fusion categories and condensation theory
• Enriched categories
• Factorization homology
Lecturer
Date
21st February ~ 6th June, 2022
Website
Prerequisite
Basics on abstract algebras and category theory
Video Public
Yes
Notes Public
Yes
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.