Distinguish modular categories and 2+1D topological orders beyond modular data: Mapping class group of higher genus manifold
August 14 (Fri), 2020
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    Online

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    August 14(Fri), 2020 / 09:00 AM (KST)

    Abstract

    It was believed that modular data are enough to distinguish different modular categories (and topological orders in 2+1-dimensions). Then counterexamples to this conjecture were found by Mignard and Schauenburg in 2017. In this work, we show that the simplest counterexamples can be distinguished by studying the representations of mapping class groups of a punctured torus or a genus-2 closed manifold.
    Invited Speaker
    Dr. Xueda Wen (MIT)

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    Gil Young Cho (POSTECH)

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