Beijing Institute of Mathematical Sciences and Applications

Lin Zhe Huang , Zheng Wei Liu , Sébastien Palcoux , Yi Long Wang , Jin Song Wu

Qing Zhang

Wednesday, April 2, 2025 10:30 AM - 12:00 PM

A3-3-301

Zoom 242 742 6089 (BIMSA)

In this talk, I will discuss the modular data arising from the Drinfeld centers of near-group categories. I will begin by discussing a near-group category of type $\mathbb{Z}/4\mathbb{Z}\times \mathbb{Z}/4\mathbb{Z}+16$ and explain how the modular data of its Drinfeld center can be computed by solving Izumi's polynomial equations. I will then show that modular data of rank 10 can be obtained via condensation of its Drinfeld center and present an alternative realization of this data through the Drinfeld center of a fusion category of rank 4. Finally, I will discuss the modular data of the Drinfeld center of a near-group category of type $\mathbb{Z}/8\mathbb{Z}+8$ and demonstrate that the non-pointed factor of its condensation coincides with the modular data of the quantum group category $\mathcal{C}({\mathfrak{g}}_2,4)$. This talk is based on joint work with Zhiqiang Yu.

Reference: https://arxiv.org/abs/2412.20763

I'm a Visiting Assistant Professor in the Department of Mathematics at UC Santa Barbara supervised by Zhenghan Wang.