中国科学院数学与系统科学研究院
数学研究所
中国科学院华罗庚数学重点实验室
华罗庚青年数学论坛
综合报告
报告人： 孙巍峰 博士 （斯坦福大学）
题 目：Some potential applications of gauge theory in knot theory
时 间：2023.11.03（星期五），09:00-10:00
地 点：Zoom会议：897 1288 6628 密码：1103
摘 要：It is well-known that certain PDEs in gauge theory (on a low dimensional manifold) can give us useful topological and geometrical information of the background manifold. It is also known that studying solutions of these PDEs with a knot singularity maygive us useful information about the knot lying in the manifold. Some famous and successful examples of the PDEs include the Yang-Mills equations and the Seiberg-Witten equations etc..
In this talk, I'll introduce some recent work on studying the Bogomolny equations and the Kapustin-Witten equations with certain types of knot singularity. These PDEs, which are also originated from gauge theory in physics, also have the potential to studyknot invariants in the future.
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