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Seminar

Online Seminar: Modular Categories with Transitive Galois Actions May 14, 2020 (10:00 AM PDT - 11:00 AM PDT)
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Location: MSRI: Online/Virtual
Speaker(s) Qing Zhang (Purdue University)
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Video

Modular Categories With Transitive Galois Actions

Abstract/Media

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.

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Modular Categories With Transitive Galois Actions

H.264 Video 25059_28454_8348_Modular_Categories_with_Transitive_Galois_Actions.mp4