报告题目：Geometry of submanifolds from duality viewpoint

报 告 人：陈亮 副教授  东北师范大学

报告时间：2021年6月10日 13：30-14：30

报告地点：腾讯会议 ID：830 281 371; PW: 101359

校内联系人：王骁  wangxiaotop@jlu.edu.cn

报告摘要：

Singularity and degeneracy destroy the structure of manifolds and give rise to essential difficulties in researching the deteriorative manifolds. Thus, it is crucial to develop new methods for investigating the singular or degenerate submanifolds. By characterizing the inner connection between pseudo spheres in semi-Euclidean space, the Legendrian duality is an effective method developed by Chen and Izumiya in 2009 for studying the submanifolds in non-flat space. Specially, the Legendrian duality is applicable for studying the singular or degenerate submanifolds. In this talk, using the singularity theory of mappings, we investigate the geometrical properties of the (singular or degenerate) submanifolds immersed in non-flat space from the viewpoint of duality. The part results in this talk is a joint work with Haibo Yu.

报告人简介：

陈亮，2009博士毕业于东北师范大学，现就职于东北师范大学。研究方向为奇点理论及其在微分几何学中的应用。