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.