Modular Data of Non-Semisimple Modular Categories

Explore a 46-minute research seminar from the BIMSA-Tsinghua Quantum Symmetry Series where Professor Liang Chang from Nankai University delves into extending modular tensor category theory to non-semisimple cases. Learn how modular tensor categories, traditionally understood as semisimple tensor categories with nondegenerated braiding, can be expanded beyond their conventional semisimple framework. Discover the latest research on applying SL(2, Z)-representation and rank finiteness theories to non-semisimple scenarios through the lens of factorizable ribbon Hopf algebras. Gain insights into the applications of these mathematical concepts in low dimensional topology and topological physics, based on collaborative research with Quinn T. Kolt, Zhenghan Wang, and Qing Zhang.