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扬州大学数学科学学院学术报告2022-51

报告题目:The Witt classes of so(2r)_{2r}

报告简介:We study the Witt classes of the modular categories so(2r)_{2r} associated with quantum groups of type D_r at (4r-2)-th roots of unity. From these classes we derive infinitely many Witt classes of order 2 that are linearly independent modulo the subgroup generated by the pointed modular categories. In particular we produce an example of a simple, completely anisotropic modular category that is not pointed whose Witt class has order 2, answering a question of Davydov, Muger, Nikshych and Ostrik. We also obtain some results when comparing with Witt classes arising from certain type B_r modular categories. This is joint work with Eric Rowell and Yilong Wang.

报告人:阮玉泽,清华大学博士生,主要从事modular fusion范畴、子因子、拓扑量子场、低维拓扑等问题的研究。

报告时间:2022年11月1日(星期二)下午16:30-17:30

报告地点:数学科学学院208会议室;腾讯会议,ID243 405 159

主办单位:扬州大学数学科学学院

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