標(biāo)題：Complex structures on isoparametric foliation and the Hopf problem
報(bào)告時(shí)間：2024年12月11日（星期三）15:00-16:00
報(bào)告地點(diǎn)：騰訊會(huì)議ID：305-275-5327
主講人：彥文嬌
主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院
報(bào)告內(nèi)容簡(jiǎn)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(jiǎn)介：
彥文嬌，北京師范大學(xué)教授，國(guó)家級(jí)高層次青年人才。主要研究方向?yàn)槲⒎謳缀?，特別是等參理論及其應(yīng)用，至今已在《J. Diff. Geom.》,《Adv. Math.》等國(guó)際著名數(shù)學(xué)期刊上接受發(fā)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(shù)的部分進(jìn)展等。曾多次在中日幾何會(huì)議，日本數(shù)學(xué)會(huì)年會(huì)等國(guó)際學(xué)術(shù)會(huì)議上做學(xué)術(shù)報(bào)告?，F(xiàn)為中日幾何會(huì)議組委會(huì)成員。
