For any finite group G, its module category Rep(G) is a symmetric braided fusion category. The modular extensions of Rep(G) have been studied extensively by Muger, Drinfeld-Gelaki-Nikshych-Ostrik, Lan-Kong-Wen and others. In this talk we will present a connection between modular extensions and orbifold theory, and discuss how this connection leads to a proof of a conjecture by Dijkgraaf-Pasquier-Roche on holomorphic orbifold theory.
Algebra Seminar
Monday, April 28, 2025 - 2:00pm
Chongying Dong
UC Santa Cruz
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