代数几何中的卡拉比-丘流形
We first define algebraic varieties over an algebraically closed field. Then we discuss complex algebraic varieties from curves, surfaces to higher dimensions. We will emphasize elliptic curves, K3 surfaces, hyper-Kahler manifolds, and more generally, Calabi-Yau manifolds. We try to collect and discuss recent open problems along the way.
讲师
郑志伟
日期
2022年03月15日 至 06月15日
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修课要求
basic analysis, algebra, and topology
参考资料
Griffiths and Harris: Principle in Algebraic Geometry, Arnaud Beauville: Holomorphic Symplectic Geometry- A Problem List, Daniel Huybrechts: Lectures on K3 Surfaces
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