学术报告（6.19）苏州2019几何分析研讨会
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报告题目：Einstein four-manifolds of positive determinant self-dual Weyl curvature
报告人： 吴鹏(复旦大学)
时 间：2019年6月19日（星期三）10:00—10:50
地 点：苏州大学本部精正楼301
报告摘要：The question that when a four manifold with a complex structure admits a compatible Einstein metric of positive scalar curvature has been answered by Tian, LeBrun, respectively. In this talk we consider the inverse problem, 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.
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报告题目：Scalar curvature along the Ricci flow and Laplacian G_2 flow
报告人： 李逸 (东南大学)
时 间：2019年6月19日（星期三）11:00—11:50
地 点：苏州大学本部精正楼301
报告摘要：In this talk, some new properties of scalar curvature along the Ricci flow and Laplacian G_2 flow will be discussed.
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报告题目：带边Ricci Bourguignon flow 的存在性
报告人：朱安强 (武汉大学)
时间：2019年6月19日（星期三）14:30—15:30
地点：苏州大学本部精正楼301
报告摘要：In this talk, we will talk about the existence of Ricci Bourguignon flow with boundary.
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报告题目：Classification of Shrinking Ricci Solitons with Weakly PIC1
报告人：李小龙 (加州大学欧文分校)
时 间：2019年6月19日（星期三）15:50—16:50
地 点：苏州大学本部精正楼301
报告摘要：Ricci solitons are natural generalization of Einstein manifolds. Solitons may be regarded as self-similar solutions to the Ricci flows. As such, they are important in the singularity analysis of Ricci flows. Indeed, the blow-ups around a type-I singularity point always converge to nontrivial gradient shrinking Ricci solitons. It is thus a central issue in the study of Ricci flows to understand and classify gradient Ricci solitons. In this talk, I will present a complete classification of gradient shrinking Ricci solitons with weakly PIC1.New results on ancient solutions will also be presented. This is joint work with Lei Ni.