Seminar
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| Location: | SLMath: Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
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Modular Categories With Transitive Galois Actions
Zoom link.
https://msri.zoom.us/s/585445592
The absolute Galois group acts on the set of isomorphism classes of simple objects of any modular category via the characters of the fusion ring. In this talk, we consider transitive modular categories, which are modular categories with transitive Galois actions. We prove every transitive modular category admits a unique prime factorization up to permutation of factors. The prime transitive modular categories are completely classified, which are given by certain quantum group modular categories with prime Frobenius-Schur exponents. This talk is based on a joint work with S.-H. Ng and Y. Wang.
No Notes/Supplements UploadedModular Categories With Transitive Galois Actions
| H.264 Video | 25059_28454_8348_Modular_Categories_with_Transitive_Galois_Actions.mp4 |