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20150526-20150708Introuduction to Complex Geometry
20150526-20150708Introuduction to Complex Geometry
教师介绍

本讲教师:Xiaodong Wang
所属学科:理科
人  气:2476

课程介绍
Complex geometry has been a very active area in recent years. It has deep interactions with other areas, e.g. algebraic geometry, Riemannian geometry and math physics. Despite the recent enormous progress, there are still many interesting directions to explore. This course will serve as an introduction to complex geometry. We will cover the following topics: holomorphic functions of several variables on domains of $C^n$, complex manifolds, holomorphic vector bundles and Chern classes, Kahler metrics, sheafs and their cohomology,Hodge theory, the Riemann-Roch theorem (proof for Riemann surfaces), the L^2 estimates and applications.
致谢:本课件的制作和发布均为公益目的,免费提供给公众学习和研究。对于本课件制作传播过程中可能涉及的作品或作品部分内容的著作权人以及相关权利人谨致谢意!
课件总访问人次:24167778
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