On perfect modualr categories of low dimension
演讲者
董井成
时间
2024年11月20日 14:00 至 15:15
地点
A3-3-301
线上
Zoom 242 742 6089
(BIMSA)
摘要
In this talk, we prove that modular categories of Frobenius-Perron dimension $p^2q^2r^2m$ are solvable, where $p,q,r$ are distinct prime numbers, $m$ is square-free with $gcd(m,pqr)=1$. As applications, we get that integral modular categories of Frobenius-Perron dimension less than 1800 are solvable, and hence integral perfect modular categories have Frobenius-Perron dimension greater than or equal to 1800. When the modular categories considered are weakly group-theoretical, we get some further results.