BIMSA > BIMSA-Tsinghua Quantum Symmetry Seminar Mining for modular data from congruence representations
Mining for modular data from congruence representations
Organizers
Lin Zhe Huang , Zheng Wei Liu , Sébastien Palcoux , Yi Long Wang , Jin Song Wu
Speaker
Siu-Hung Ng
Time
Wednesday, June 5, 2024 10:30 AM - 12:00 PM
Venue
A3-3-301
Online
Zoom 242 742 6089 (BIMSA)
Abstract
Modular fusion categories (MFCs) arise naturally in many areas of mathematics and physics. Associated with an MFC is a pair of complex matrices, called modular data, which are arguably the most important invariants of an MFC. The modular data of an MFC generate some uncanonical congruence representations of SL(2,Z). In this talk, we will discuss how modular data could be reconstructed or discovered from congruence representations of SL(2,Z). The talk is based on a joint work with Eric Rowell, Zhenghan Wang and Xiao-Gang Wen.