PG03. Fusion Graphs and Modular Invariance in Conformal Field Theories |
Professor: Robert Coquereaux (IMPA e CPT – Marseille, França)
- Representation theory of Lie groups (basics)
- Finite subgroups of Lie groups: SU2 and the McKay correspondence
- Irreducible representations of quantum groups at roots of unity
- The modular category of a Lie group at level k
- Kac-Peterson and Verlinde formulae
- Modules over fusion categories
- Fusion graphs
- The SU2, SU3 and SU4 classifications of fusion graphs, and the associated CFT partition functions
- Ocneanu graphs, endomorphisms, and partition functions with defects in BCFT
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