学术报告-陈亮

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2020-09-07 23:24:37

学术报告

题      目:Legendrian duality and its applications


报  告  人:陈亮  副教授  (邀请人:范飞飞 )

                                     东北师范大学

时      间:2020-09-16 10:00--11:00

地      点:

        腾讯会议

        点击链接入会,或添加至会议列表:
             https://meeting.tencent.com/s/neXamS3IMs2W

        会议 ID:310 181 476

报告人简介:

       陈亮,东北师范大学副教授,2009年毕业于日本北海道大学,获理学博士学位,曾主持和参与多项国家自然科学基金,在Topology Appl.,Sci. China Math.,J. Geom. Phys.,Math. Nachr.等期刊发表SCI论文多篇。主要研究兴趣是映射的奇点理论及其应用。

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 manifolds. By characterizing the inner connection between pseudo spheres in semi-Euclidean space, the Legendrian duality is an effective method developed by the L. 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 topological and geometrical properties of the (singular or degenerate) submanifolds immersed in non-flat space from the viewpoint of duality.

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