Quantum Algebra & Quantum Topology - Zhenghan Wang

September 1, 2018
Thursday, September 13, 2018 - 1:50pm to 2:45pm
Bolz Hall 422
Zhenghan Wang

Title: On Generalized Symmetries and Structures of Modular Categories

SpeakerZhenghan Wang (UC Santa Barbara, Microsoft Research Station Q)

Abstract: Pursuing a generalization of group symmetries of modular categories to category symmetries in topological phases of matter, we study linear Hopf monads. The main goal is a generalization of extension and gauging group symmetries to category symmetries of modular categories, which include also categorical Hopf algebras as special cases.  As an application, we propose an analogue of the classification of finite simple groups to modular categories, where we define simple modular categories as the prime ones without any nontrivial normal algebras.
This is a joint work with Shawn Cui and Modjtaba Shokrian Zini.

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