Mining for modular data from congruence representations
演讲者
Siu-Hung Ng
时间
2024年06月05日 10:30 至 12:00
地点
A3-3-301
线上
Zoom 242 742 6089
(BIMSA)
摘要
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.