Square root of modular tensor category
Organizer
Speaker
Time
Friday, November 11, 2022 9:30 AM - 10:30 AM
Venue
JCY-1
Online
Tencent 337 8937 1456
()
Abstract
The problem of solving square root of a modular tensor category is motivated by 3D extended topological field theories and gapless edges of 3D topological orders. We supply a solution to this problem by using enriched fusion categories.
Speaker 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.