“数理讲堂”2023年第12期
发布日期:2023-05-16 16:46:05 发布人:人员机构
主题：legendrian mean curvature flow in eta-einstein sasakian manifolds
时间：2023年5月16号 10:00-12:00
地点：腾讯会议：860-693-745
主持人：种田 副教授
报告人简介：
韩英波，博士，信阳师范学院教授。2007年7月于复旦大学数学科学学院获理学博士学位，2007.07-2009.12于东南大学数学系工作，2009年12月调入信阳师范学院数学与统计学院工作至今, 2016.12-2017.12于美国俄克拉荷马大学数学系学术访问。主要从事微分几何研究。主持在研国家自然科学基金面上项目1项，主持完成2项国家自然科学基金项目。在国内外重要学术期刊the journal of geometric analysis, international mathematical research notices， calculus of variations and partial differential equations， canadian journal of mathematics等发表学术论文50余篇。
讲座简介：
recently, there are a great deal of work done which connects the legendrian isotopic problem with contact invariants. the isotopic problem of legendre curve in a contact 3-manifold was studies via the legendrian curve shortening flow which was introduced and studied by k. smoczyk. on the other hand, in the syz conjecture, one can model a special lagrangian singularity locally as the special lagrangian cones in c^3 . this can be characterized by its link which is a minimal legendrian surface in the 5-sphere. then in these points of view, in this paper we will focus on the existence of the long-time solution and asymptotic convergnce along the legendrian mean curvature flow in higher dimensional eta-einstein sasakian (2n 1)-manifolds under the suitable stability condition due to the thomas-yau conjecture. this is a joint work with shu-cheng chang and chin-tung wu.
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