报告时间：10月20日周一下午14:30-16:00
报告地点：数学楼401报告厅
报告人：常亮
主持人：胡乃红
报告摘要：
After Witten's interpretation of Jones polynomials in terms of quantum field theory, many topological invariants of low dimensional manifolds were constructed from certain algebraic structures, such as modular tensor categories. In 1990s, Kuperberg and Hennings defined 3-manifold invariants using finite dimensional Hopf algebras. In this talk, we will first talk about their construction and relationship. Then we will talk about the gauge independence of these topological invariants. That is, they provide more general indicators of Hopf algebras.
报告人简介：
常亮，南开大学数学科学学院副教授，研究方向是量子拓扑与数学物理、拓扑量子计算，2013年于美国加州大学圣巴巴拉分校跟随著名代数拓扑、量子拓扑及拓扑量子计算领域权威专家王正汉教授取得博士学位，后跟随量子群表示论、有限张量范畴理论及拓扑量子计算著名专家Eric Rowell教授在美国德州农工大学做博士后研究三年，回国后在南开大学工作至今，主持承担了国家自然科学基金青年项目和面上项目，主要成果发表于Adv. Math., Comm. Math. Phys.,Quantum Topology, Internat. J. Math.等期刊。