報告題目:Geometry of submanifolds from duality viewpoint
報 告 人:陳亮 副教授 東北師範大學
報告時間:2021年6月10日 13:30-14:30
報告地點:騰訊會議 ID:830 281 371; PW: 101359
校内聯系人:王骁 wangxiaotop@jlu.edu.cn
報告摘要:
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.
報告人簡介:
陳亮,2009博士畢業于東北師範大學,現就職于東北師範大學。研究方向為奇點理論及其在微分幾何學中的應用。