On Smooth Projective Manifolds with Topological Circle Bundle Structures

Time：Fri., 15:30-16:30, Dec. 6, 2024

Venue：B725, Shuangqing Complex Building A

Organizer：Caucher Birkar，Jia Jia

Speaker：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.

DATEDecember 3, 2024

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