2020-06-24 来源：数学科学研究中心

时间：北京时间62日上午9:00-10:00

时间：北京时间69日上午9:00-10:00

ICCM:

1.

ICCM Lectures on Geometry

Zoom  ID18430443981

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Title: Complex structures on Einstein four-manifolds of positive scalar curvature

Speaker: Peng Wu (Fudan University)

Time: 10:00 am -11:00 am (Friday, 2020-06-05)

Abstract: In this talk we will discuss the relationship between complex structures and Einstein metrics of positive scalar curvature on four-dimensional Riemannian manifolds. One direction, that is, when a four-manifold with a complex structure admits a compatible Einstein metric of positive scalar curvature has been answered by Tian, LeBrun, respectively. We will consider the other direction, that is, when a four-manifold with an Einstein metric of positive scalar curvature admits a compatible complex structure. We will show that if the determinant of the self-dual Weyl curvature is positive then the manifold admits a compatible complex structure.

Our method relies on Derdzinski's proof of the Weitzenbock formula for the self-dual Weyl curvature.

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2.

The ICCM lecture on Geometry is rescheduled this week. It is at 10:00 am -11:00 am (Saturday, 2020-06-13).

Zoom:

ID18430443981

Details are as below:

ICCM Lectures on Geometry

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Title: Projective manifolds whose tangent bundle contains a strictly nef subsheaf

Speaker: Wenhao Ou (AMSS)

Time: 10:00 am -11:00 am (Saturday, 2020-06-13)

Abstract: In this talk we will discuss the structure of projective manifold $X$ whose tangent bundle contains a locally free strictly nef subsheaf.

We establish that $X$ is isomorphic to a projective bundle over a hyperbolic manifold.

Moreover, if the fundamental group $\pi_1(X)$ is virtually abelian, then $X$ is isomorphic to a projective space.

This is joint work with Jie Liu (MCM) and Xiaokui Yang (YMSC).

3.

Zoom:

ID18430443981

Details are as below:

ICCM Lectures on Geometry

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Title: On a canonical bundle formula with $\R$-coefficients

Speaker: Zhengyu Hu (Chongqing University of Technology)

Time: 10:00 am -11:00 am (Friday, 2020-06-19)

Abstract: In this talk, I will discuss a canonical bundle formula for a proper surjective morphism

(not necessarily with connected fibers) with  $\R$-coefficients and its applications. Moreover, I will discuss the inductive property of the moduli divisor.