2-character theory of finite 2-groups | BIMSA-Tsinghua Quantum Symmetry Seminar

Time：2024-05-08 Wed 10:30-12:00

Venue：A3-3-301 Zoom:242 742 6089 BIMSA

Organizer：Zhengwei Liu, Jinsong Wu, Linzhe Huang, Sebastien Palcoux, Yilong Wang

Speaker：Mo Huang 华东师范大学

Abstract

The character plays an important role in the representation theory of finite groups. in this talk, lwill introduce the notion of 2-character of 2-representations of a finite 2-group G. The conjugationinvariance implies that the 2-characters can be viewed as objects in the Drinfeld center 31(Vecg).will also introduce a topological guantum field theory (TQFT) point of view on the 2-characters andshow that they are Lagrangian algebras in 3,(Vecg). Finally, l will discuss the orthogonality of 2-characters, which categorifies the classical orthogonality of characters. This talk is based on arXiv.2305.18151 and 2404.01162, joint with Hao Xu and Zhi-Hao Zhang.

DATEMay 7, 2024

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