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Complex structure degeneration and metric collapsing of Calabi-Yau manifolds(加州大学伯克利分校孙崧副教授 No.391)
日期: 2020-12-06      信息来源:      点击数:
报告人:孙崧 副教授(加州大学伯克利分校)

报告时间:2020年12月6号(周日)上午10:30-12:00

线上报告:Zoom,会议 ID:924 8522 5016。 密码:079410

报告人简介:孙崧,加州大学伯克利分校副教授。2010年获威斯康星大学麦迪逊分校博士学位。2018年起在加州大学伯克利分校任教。主要研究方向:凯勒几何。2018年国际数学家45分钟报告人,Veblen几何奖获得者。已在JAMS、Annals、Acta等国际数学顶级期刊发表多篇论文。 

报告简介:A Calabi-Yau manifold is a compact Kahler manifold with trivial canonical bundle. Yau’s solution to the Calabi conjecture yields canonical Ricci-flat Kahler metrics (Calabi-Yau metric) on such a manifold, and this has deep applications in many areas of mathematics. It is a longstanding question to understand how the Ricci-flat metrics develop singularities when the complex structure degenerates. An especially intriguing phenomenon is that these metrics can collapse to lower dimensions and exhibit very non-algebraic features, which makes it challenging  to describe the corresponding geometric behavior.  In this talk I will  explain joint work with Ruobing Zhang in 2019 on a special class of examples concerning ``small “ complex structure degenerations. 

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