杨晓奎: Bochner Techniques in Complex and Algebraic Geometry

2005-12-19 来源:数学科学研究中心

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活动类型:研究生课程

主讲人:杨晓奎

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Abstract: We will introduce the basic idea of Bochner techniques in complex and algebriac geometry, including the following parts:

(1). Geomtry of vector bundles;

(2). Hodge theory on complex manifolds;

(3).  Kodaira-Nakano vanishing theorems and  some generalizations;

(4). L^{2} estimates on certain convex manifolds;

(5).  The exixtence  of  Kahler-Einstein metric.

http://cms.zju.edu.cn/activities/notes/20051223.pdf