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Constructing Modular Tensor Categories Using Hopf Algebras

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Overview

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Explore a 53-minute academic seminar from the BIMSA-Tsinghua Quantum Symmetry Series where Kun Zhou delves into the construction of modular tensor categories through Hopf algebras. Learn about general construction methods for ribbon factorizable Hopf algebras and discover how these methods yield both semisimple and non-semisimple families. Examine the relationship between representation categories and prime modular tensor categories, with detailed comparisons to known modular tensor categories derived from ribbon factorizable Hopf algebras. Gain insights into non-degenerate ribbon finite tensor categories and their mathematical foundations, supported by recent research published in arXiv:2403.02643.

Syllabus

Kun Zhou - Constructing modular tensor categories by using Hopf algebras

Taught by

BIMSA

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