【学术视频】拓扑量子计算2019会议 | 美国路易斯安那州立大学吴少雄教授

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图 | 吴少雄

题   目：On higher Gauss sums and central charges of modular categories

报告人：Siu-Hung Ng (吴少雄）单   位：Louisiana State University时   间：2019-12-16
地   点：南方科技大学

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报告提纲

• Modular tensor categories (or modular categories) are the key algebraic ingredients for Reshetikhin-Turaev Topological Quantum Field Theory.

• a mathematical framework of topological quantum computations.
  

• They have applications to quantum coding and serve as mathematical language of topological phases of matter.
• Mathematically, modular categories are categorical generalizations of quadratic forms.
• ...

个人简介

吴少雄，美国路易斯安那州立大学数学系教授，博士生导师。美国Rutgers大学博士毕业，现从事Hopf代数, quasi-Hopf代数与张量范畴研究，目前对有限维Hopf代数分类及中枢的张量范畴的不变量如：Frobenius-Schur指标与指数等感兴趣，研究涉及数学与数学物理的众多研究领域如：有限维代数与群的表示，扭结不变量，共型场理论等。已在《Journal of the American Mathematical Society》, 《Advances in Mathematics》, 《Transactions of the American Mathematical Society》, 《Communications in Mathematical Physics》, 《Int. Math. Res. Notices》, 《Journal of London Mathematical Society》, 《Journal of Algebra》, 《Israel Journal of Mathematics》, 《 Journal of Pure and Applied Algebra》等国际重要学术刊物上发表论文多篇。

会议简介

会议题目：拓扑量子计算2019会议（TQC2019）会议时间：2019-12-16会议地点：深圳主办方：南方科技大学、鹏城实验室
Topological quantum computing (TQC) represents one of the best approaches to building a large-scale fault-tolerant quantum computer. The key for realizing TQC lies in the existence and manipulation of topological phases of matter. Topology, classical or quantum, is central in studying the mathematical theory of such phases. Alternatively, tensor categories and their higher dimensional generalizations give the algebraic characterizations. The conference is on all theoretical aspects that are loosely related to TQC. Interested topics include, but are not limited to, topological phases of matter, tensor/higher categories, subfactor theory, topological quantum field theories, conformal field theories, quantum error correction, entanglement, etc. 

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