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On Smooth Projective Manifolds with Topological Circle Bundle Structures

来源: 12-03

时间:Fri., 15:30-16:30, Dec. 6, 2024

地点:B725, Shuangqing Complex Building A

组织者:Caucher Birkar,Jia Jia

主讲人:Feng Hao

Algebraic Geometry Seminar


Organizers:

Caucher Birkar,Jia Jia 贾甲

Speaker:

Feng Hao (Shandong University)

Time:

Fri., 15:30-16:30, Dec. 6, 2024

Venue:

B725, Shuangqing Complex Building A

Online:

Zoom Meeting ID: 262 865 5007

Passcode: YMSC

Title

On Smooth Projective Manifolds with Topological Circle Bundle Structures


One of Yau’s conjectures (ICCM 2013) says that canonically polarized complex projective manifolds do not admit nontrivial topological $S^1$-actions. In this talk, I will give a discussion on projective manifolds with topological $S^1$-actions, and show that canonically polarized complex projective manifolds do not admit free topological $S^1$-actions if their Albanese varieties are simple.

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