标题：Complex structures on isoparametric foliation and the Hopf problem

报告时间：2024年12月11日（星期三）15:00-16:00

报告地点：腾讯会议ID：305-275-5327

主讲人：彦文娇

主办单位：数学与统计学院

报告内容简介：

It is a longstanding problem that whether there exists a complex structure on the 6-dimensional sphere? Many famous mathematicians have made efforts on this problem, such as Hopf, Wen-tsun Wu, Borel, Serre, LeBrun, Shiing-Shen Chern, Atiyah, etc. Taking advantage of isoparametric theory, we construct complex structures on certain isoparametric hypersurfaces and focal submanifolds in the unit sphere. As a consequence, there is a closed 8-dimensional manifold N^8 such that there exists a complex structure on S^6X N^8. This talk is based on joint works with Professor Zizhou Tang and Professor Chao Qian.

主讲人简介：

彦文娇，北京师范大学教授，国家级高层次青年人才。主要研究方向为微分几何，特别是等参理论及其应用，至今已在《J. Diff. Geom.》,《Adv. Math.》等国际著名数学期刊上接受发表了多篇论文。代表性成果有与唐梓洲教授合作完全解决了等参情形的丘成桐第一特征值猜想、给出陈省身猜想在任意维数的部分进展等。曾多次在中日几何会议，日本数学会年会等国际学术会议上做学术报告。现为中日几何会议组委会成员。