Noncommutative Geometry Seminar
Date: April 5, 2024
Time: 3:00PM - 4:00PM
Location: BLOC 628
Speaker: Ningfeng Wang, Tsinghua University
Title: 3d connections in alterfold TQFT and embedding theorems
Abstract: We give a 3d topological representation of flat connections within 3-alterfold TQFT. We give a quick proof of the embedding theorem saying that a multi-fusion category as a planar algebra can be canonically embedded into its graph planar algebra. Moreover, the image is the flat part of the connection. It generalizes the corresponding results for subfactors to any field. Furthermore, we developed an embedding theorem for ground states in the configuration spaces of the Levin-Wen model on a surface with/without boundary. This is joint work with Zhengwei Liu.