標題：Complex structures on isoparametric foliation and the Hopf problem
報告時間：2024年12月11日（星期三）15:00-16:00
報告地點：騰訊會議ID：305-275-5327
主講人：彥文嬌
主辦單位：數學與統計學院
報告內容簡介：
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.
主講人簡介：
彥文嬌，北京師范大學教授，國家級高層次青年人才。主要研究方向為微分幾何，特別是等參理論及其應用，至今已在《J. Diff. Geom.》,《Adv. Math.》等國際著名數學期刊上接受發表了多篇論文。代表性成果有與唐梓洲教授合作完全解決了等參情形的丘成桐第一特征值猜想、給出陳省身猜想在任意維數的部分進展等。曾多次在中日幾何會議，日本數學會年會等國際學術會議上做學術報告。現為中日幾何會議組委會成員。
