时间：10月31日（周四）10：00-11：00

地点：勤园21号楼306学术报告厅

主讲人：王志刚，哈尔滨师范大学数学科学学院，教授，2012年博士毕业于东北师范大学数学与统计学院基础数学专业。主要研究方向：奇点理论及其应用、随机微分方程。在《Appl. Math. Model.》、《Phys. Lett. B》、《Proc. Roy. Soc. Edinburgh》、《Topol. Appl.》、《J. Geom. Phys.》、《Hokkaido Math. J. 》、《Int. J. Mod. Phys. A》、《Mediter. J.Math.》、《Math. Methods. Appl. Sci.》等期刊发表SCI检索论文26篇。

内容简介：In this talk, as applications of singularity theory, I will talk about the singularities of several worldsheets generated by null Cartan curves in Lorentz–Minkowski space–time. Using the approach of the unfolding theory in singularity theory, we establish the relationships between these worldsheets and invariants such that the cuspidal edge type of singularity and the swallowtail type of singularity can be characterized by these invariants, respec- tively. Meanwhile, the contact of the tangent curve of a null Cartan curve with some model surfaces are discussed in detail. In addition, I will also present the dual relation- ships between the tangent curve of a null Cartan curve and these worldsheets. Finally, I will give some concrete examples to explain our theoretical results.